UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-CSR

                   CERTIFIED SHAREHOLDER REPORT OF REGISTERED
                         MANAGEMENT INVESTMENT COMPANIES


Investment Company Act file number  811-4260
                                   ------------


                       AXP GOVERNMENT INCOME SERIES, INC.
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               (Exact name of registrant as specified in charter)


  50606 AXP Financial Center, Minneapolis, Minnesota                55474
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         (Address of principal executive offices)                 (Zip code)


Leslie L. Ogg - 901 S. Marquette Avenue, Suite 2810, Minneapolis, MN 55402-3268
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                     (Name and address of agent for service)


Registrant's telephone number, including area code:  (612) 330-9283
                                                    -----------------

Date of fiscal year end:     5/31
                         --------------
Date of reporting period:    5/31
                         --------------


AXP(R)
   Short Duration
         U.S. Government
                Fund

                                                                   Annual Report
                                                            for the Period Ended
                                                                    May 31, 2004

AXP Short Duration U.S. Government Fund seeks to provide shareholders with a
high level of current income and safety of principal consistent with investment
in U.S. government and government agency securities.

(logo)                                                                  (logo)
American                                                                AMERICAN
   Express(R)                                                            EXPRESS
 Funds                                                                  (R)


Table of Contents

Fund Snapshot                                            3

Questions & Answers
with Portfolio Management                                4

The Fund's Long-term Performance                         9

Investments in Securities                               10

Financial Statements (Portfolio)                        15

Notes to Financial Statements (Portfolio)               18

Report of Independent Registered
   Public Accounting Firm (Portfolio)                   22

Financial Statements (Fund)                             23

Notes to Financial Statements (Fund)                    26

Report of Independent Registered
Public Accounting Firm (Fund)                           36

Federal Income Tax Information                          37

Board Members and Officers                              39

Proxy Voting                                            41

(logo) Dalbar

American Express(R) Funds' reports to shareholders have been awarded the
Communications Seal from Dalbar Inc., an independent financial services research
firm. The Seal recognizes communications demonstrating a level of excellence in
the industry.

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2   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Fund Snapshot
        AS OF MAY 31, 2004

PORTFOLIO MANAGER

Portfolio manager                                          Scott Kirby*
Since                                                              6/01
Years in industry                                                    25

* The Fund is managed by a team of portfolio managers led by Scott Kirby

FUND OBJECTIVE

For investors seeking a high level of current income and safety of principal
consistent with investment in U.S. government and government agency securities.

Inception dates
A: 8/19/85      B: 3/20/95      C: 6/26/00      Y: 3/20/95

Ticker symbols
A: IFINX        B: ISHOX        C: AXFCX        Y: IDFYX

Total net assets                                         $2.308 billion

Number of holdings                                                  173

Average weighted life**                                       2.3 years

Effective duration***                                         1.3 years

Weighted average bond rating                                        AAA

STYLE MATRIX

Shading within the style matrix indicates areas in which the Fund generally
invests.

     DURATION
SHORT  INT.  LONG
  X              HIGH
                 MEDIUM  QUALITY
                 LOW

SECTOR COMPOSITION

Percentage of portfolio assets

(pie graph)

U.S. government obligations & agencies 45.3%
Mortgage-backed securities 44.6%
Short-term securities* 7.2%
CMBS/ABS** 2.1%
Corporate bonds*** 0.8%

  *  6.8%  of the  securities  in  this  category  is due  to  security  lending
     activity.  0.4% of the short-term  securities is the Fund's cash equivalent
     position.

 **  Commercial mortgage-backed securities/Asset-backed securities.

***  Includes 0.5% Banks & brokers and 0.3% Other financial.

CREDIT QUALITY SUMMARY

Percentage of portfolio assets excluding cash equivalents

AAA bonds                            100.0%

Individual security ratings are based on information from Standard & Poor's
Corp. and Moody's Investors Service.  If a rating is unavailable, the rating
is determined through an internal analysis, if appropriate.

For further detail about these holdings, please refer to the section entitled
"Investments in Securities."

 **  Average  weighted  life is the average  number of years that each dollar of
     unpaid principal due on a security remains outstanding.

***  Effective  duration  measures  the  sensitivity  of a  security's  price to
     parallel  shifts in the yield curve (the graphical  depiction of the levels
     of interest rates from two years to 30 years). Positive duration means that
     as rates rise,  the price  decreases,  and negative  duration means that as
     rates rise, the price increases.

Shares of the Fund are not insured or guaranteed by the U.S. government.

Fund holdings are subject to change.

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3   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Questions & Answers
        WITH PORTFOLIO MANAGEMENT

Below, Portfolio Manager Scott Kirby details AXP Short Duration U.S. Government
Fund's positioning and results for the 12 months ended May 31, 2004.

Q:  How did AXP Short Duration U.S. Government Fund perform for the 12 months
    ended May 31, 2004?

A:  AXP Short Duration U.S. Government Fund's Class A shares (excluding sales
    charge) fell 0.24% for the 12 months ended May 31, 2004. The Fund's
    benchmark, the Lehman Brothers 1-3 Year Government Index, rose 0.66% for the
    period. The Fund also underperformed the Lipper Short U.S. Government Funds
    Index, the Fund's peer group, which rose 0.07% over the same time frame.

    To help keep the Fund competitive with its peers, we implemented a new
    expense cap effective June 1, 2004, reducing the maximum level of expenses
    borne by Class A shareholders from 0.97% of net assets per fiscal year to a
    maximum 0.93% of net assets per year.

Q:  What factors most significantly affected Fund performance?

A:  The fiscal period was marked by substantial volatility. Uncertainty
    regarding the scope of U.S. economic recovery, the potential for rising
    interest rates, geopolitical events and the continued threat of terrorism
    influenced the fixed income market throughout the 12 months ended May 31,
    2004.

    The Fund was positioned to do well in a low volatility environment, so it
    struggled through some turbulent periods during this past fiscal year. The
    Fund's allocation to mortgages also contributed to its underperformance of
    the benchmark and peer group for the period. Our security selection within
    the mortgage sector of buying pools that historically have had
    lower-than-average prepayment risk worked well, however, not well enough to
    offset the impact of

(bar graph)
                             PERFORMANCE COMPARISON
                         For the year ended May 31, 2004

 0.75%                            (bar 2)
 0.50%                             +0.66%
 0.25%                                                 (bar 3)
 0.00%     (bar 1)                                     +0.07%
- -0.25%     -0.24%
- -0.50%

(bar 1) AXP Short Duration U.S. Government Fund Class A (excluding sales charge)
(bar 2) Lehman Brothers 1-3 Year Government Index  (unmanaged)
(bar 3) Lipper Short U.S. Government Funds Index

(see "The Fund's Long-term Performance" for Index descriptions)

Past performance is no guarantee of future results. The 4.75% sales charge
applicable to Class A shares of the Fund is not reflected in the bar chart; if
reflected, returns would be lower than those shown. The performance of Class B,
Class C and Class Y may vary from that shown above because of differences in
expenses.

The indices do not reflect the effects of sales charges, expenses (excluding
Lipper) and taxes.

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4   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Questions & Answers

(begin callout quote)> The period was marked by significant volatility as the
market tried to determine what action the Federal Reserve Board (the Fed) would
take with interest rates. (end callout quote)

    the volatile environment. The volatility experienced was primarily due to
    the market trying to determine what action the Federal Reserve Board (the
    Fed) would take with interest rates.

    Shortly before the start of the new fiscal year, a Federal Reserve Board
    meeting took place in which the Fed introduced the idea



AVERAGE ANNUAL TOTAL RETURNS
                             Class A                Class B                    Class C                      Class Y
(Inception dates)           (8/19/85)              (3/20/95)                  (6/26/00)                    (3/20/95)
                        NAV(1)     POP(2)      NAV(1)   After CDSC(3)     NAV(1)    After CDSC(4)      NAV(5)     POP(5)
as of May 31, 2004
                                                                                          
1 year                  -0.24%     -4.97%      -0.99%      -4.89%         -0.99%       -0.99%          -0.08%     -0.08%
3 years                 +3.44%     +1.78%      +2.67%      +1.71%         +2.67%       +2.67%          +3.61%     +3.61%
5 years                 +4.05%     +3.04%      +3.27%      +3.09%           N/A          N/A           +4.21%     +4.21%
10 years                +5.45%     +4.94%        N/A         N/A            N/A          N/A             N/A        N/A
Since inception           N/A        N/A       +4.60%      +4.60%         +4.07%       +4.07%          +5.55%     +5.55%

as of June 30, 2004
1 year                  -0.20%     -4.94%      -0.95%      -4.85%         -0.95%       -0.95%          -0.04%     -0.04%
3 years                 +3.38%     +1.72%      +2.60%      +1.64%         +2.60%       +2.60%          +3.55%     +3.55%
5 years                 +4.09%     +3.08%      +3.30%      +3.13%           N/A          N/A           +4.25%     +4.25%
10 years                +5.43%     +4.92%        N/A         N/A            N/A          N/A             N/A        N/A
Since inception           N/A        N/A       +4.55%      +4.55%         +3.97%       +3.97%          +5.50%     +5.50%


The performance information shown represents the past performance and is not a
guarantee of future results. The investment return and principal value of your
investment and returns will fluctuate so that your shares, when redeemed, may be
worth more or less than their original cost. Current performance may be lower or
higher than the performance information shown. You may obtain performance
information current to the most recent month-end by calling (888) 723-8476 or
visiting www.americanexpress.com/funds. You should consider the investment
objectives, risks, and charges and expenses of the Fund carefully before
investing.

(1)  Excluding sales charge.

(2)  Returns at public offering price (POP) reflect a sales charge of 4.75%.

(3)  Returns at maximum contingent deferred sales charge (CDSC). CDSC applies as
     follows: first year 5%; second and third year 4%; fourth year 3%; fifth
     year 2%; sixth year 1%; no sales charge thereafter.

(4)  1% CDSC applies to redemptions made within the first year of purchase.

(5)  Sales charge is not applicable to these shares. Shares available to
     institutional investors only.

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5   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Questions & Answers

    that the probability of deflation exceeded that of inflation over the next
    few calendar quarters. The fixed income market rallied, fueled by the belief
    that interest rates would remain low and that the Fed would do whatever was
    necessary to fight deflation. Two-year U.S. Treasury yields rallied slightly
    at the start of fiscal year in June 2003. Then, on June 25, 2003, the Fed
    disappointed the market by cutting the targeted federal funds rate by only
    0.25% to 1.00%. The Fed's move led to a market sell-off, and U.S. Treasury
    yields rose dramatically. The market perceived that deflation was not as big
    of a threat as the Fed had led it to believe.

    Given the Fed's conservative action, coupled with signs that the economy may
    start to recover, the two-year U.S. Treasury yield rose from 1.08% in June
    to over 2% by the end of August. During this period, mortgage securities
    underperformed dramatically. The performance of the mortgage securities held
    in the Fund hurt overall performance. The duration of the Fund during the
    back up in rates was not short enough to offset the mortgage impact. From
    September 2003 until the beginning of March 2004, two-year U.S. Treasury
    yields generally stayed in a relatively tight range of 1.60% to 1.90%
    breaking out briefly both higher and lower in rates. Mortgages performed
    well during this period. During this period we also set the Fund's duration
    slightly short of its benchmark due to the uncertainty of how and when the
    economy would recover. This strategy was designed to produce principal
    preservation, but it did slightly detract from performance.

    Early in 2004, U.S. fixed income markets (as measured by the Lehman Brothers
    Aggregate Bond Index) outperformed most stock market indices. Geopolitical
    tensions, global terrorist attacks and problems in the war with Iraq shook
    investors' confidence in the stock market and increased investors' interest
    in the fixed income market. Disappointing employment reports continued,
    which caused investors to question whether the U.S. economic recovery was
    really back on track. Although signs of an economic recovery were evident,
    it began to appear as if the jobs necessary to sustain the recovery were not
    developing. Fixed income investors grew concerned as weak employment reports
    continued in February (published in March), even though other data suggested
    that the jobs would eventually come through. During this period, the Fund
    performed well as the mortage securities in the Fund outperformed Treasury
    bonds. During this period, we reduced the duration as we expected the
    recovery may develop slower than expected.

    A long-awaited strong employment report came through in early April to show
    that

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6   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Questions & Answers

    non-farm  payrolls  increased by 308,000 in March.  Also,  the previous two
    months  payroll  numbers were revised  upward.  Another  strong  employment
    report in April  (published  in early May) was  further  evidence  that the
    recovery picture was in sharper focus.

    As the economic recovery developed, we reduced the Fund's duration and
    reduced its exposure to mortgage backed securities. To add income, we
    increased the weighting in short-term agency securities. We continue to hold
    a defensive position as the economic recovery gains strength. Throughout the
    period, the Fund participated in the use of derivative instruments. The use
    of derivative instruments, such as listed futures, is primarily for hedging
    either duration or the yield curve. The Fund will also use listed contracts,
    such as eurodollar and swap contracts, to manage spread product exposure in
    the portfolio.

Q:  What changes did you make to the Fund and how is it currently positioned?

A:  Over the fiscal year, we improved the structure of the Fund in an effort to
    reduce the effects of market volatility on Fund performance. We continued to
    balance the Fund's weightings in U.S. government Treasury, agency and
    mortgage-backed securities to provide adequate income within a lower-risk
    framework. Mortgage-backed securities comprise approximately half of the
    Fund's portfolio. The mortgage securities we held at the beginning of the
    fiscal year had characteristics that helped protect these securities from
    prepayments. As we approached the end of the fiscal year, the environment
    shifted from prepayment risk to duration extension risk. We changed the
    mortgage strategy to focus on higher coupons and more seasoned bonds, which
    we expect to outperform when the Fed increases rates. We also reduced the
    Fund's allocation to U.S. government agencies from overweight to neutral as
    agency spreads widened. We have recently added back exposure to agencies to
    capture some of the recent spread widening. Throughout the year we continued
    to position the Fund with securities that roll down the yield curve. As we
    got closer to a rate increase by the Fed, we have started to move the Fund
    toward a barbell strategy. In a barbell strategy, the Fund owns positions at
    the short and longer end of the yield curve. We favor this strategy when we
    believe the yield curve will flatten. We also used a mortgage forward
    purchase or roll strategy, which contributed to a portfolio turnover rate of
    125% for the period. We have reduced the use of this strategy over the
    course of the year.

    Through this reporting period, we believed signs were leading toward a
    pickup in the economic recovery.

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7   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Questions & Answers

    Therefore, our outlook called for the Federal Reserve Board to raise the
    target federal funds rate sooner than the view that was priced into the
    market. Based on this outlook, we shortened the duration of the Fund and
    improved the structure in its mortgage holdings. When job creation did not
    materialize as quickly as we expected, the Fund gave up some performance
    versus its broad-based benchmark due to its shorter duration. We took
    defensive measures to reduce the Fund's exposure to volatility whenever
    possible. For example, we maintained approximately the same allocation in
    mortgage-backed securities, but improved the characteristics of these
    securities to reduce their exposure to volatility. Toward the end of the
    period, we started to reduce the Fund's overall exposure to mortage-backed
    securities due to valuations.

Q:  How do you intend to manage the Fund in the coming months?

A:  Looking ahead, we believe the Fed will raise interest rates some time this
    summer. The key question is by how much? The fixed income futures market was
    already pricing in a total of 100 basis points (1%) in a series of interest
    rate increases by the end of December 2004. We have positioned the Fund for
    ongoing economic recovery and a moderately higher interest rate environment.

    Our continued strategy is to provide added portfolio value with a moderate
    amount of risk. We like the balance of risk and performance of the
    securities we currently hold. We intend to keep the Fund's duration shorter
    than the benchmark until we believe the market has finished pricing in any
    Fed increases. We also intend to maintain a defensive, lower allocation to
    mortgage-backed securities until their valuations become more attractive.
    Finally, we intend to favor a barbell strategy, owning positions at the
    short and longer ends of the curve, for the near term, given our view that
    the yield curve will flatten once the Fed begins to raise interest rates
    over the coming months. As always, we continue to seek attractive buying
    opportunities. Quality issues and security selection remain a priority.

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8   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


The Fund's Long-term Performance

This chart illustrates the total value of an assumed $10,000 investment in AXP
Short Duration U.S. Government Fund Class A shares (from 6/1/94 to 5/31/04) as
compared to the performance of two widely cited performance indices, the Lehman
Brothers 1-3 Year Government Index and the Lipper Short U.S. Government Funds
Index. In comparing the Fund's Class A shares to these indices, you should take
into account the fact that the Fund's performance reflects the maximum sales
charge of 4.75%, while such charges are not reflected in the performance of the
indices. Returns for the Fund include the reinvestment of any distribution paid
during each period.

The performance information shown represents the past performance and is not a
guarantee of future results. The value of your investment and returns will
fluctuate so that your shares, when redeemed, may be worth more or less than
their original cost. Returns do not reflect taxes payable on distributions and
redemptions. Current performance may be lower or higher than the performance
information shown. You may obtain performance information current to the most
recent month-end by calling (888) 723-8476 or visiting
www.americanexpress.com/funds. Also see "Past Performance" in the Fund's current
prospectus. You should consider the investment objectives, risks, and charges
and expenses of the Fund carefully before investing.

(line graph)



                   VALUE OF A HYPOTHETICAL $10,000 INVESTMENT
                     IN AXP SHORT TERM U.S. GOVERNMENT FUND

AXP Short Duration U.S.
                                                                                           
  Government Fund Class A     $ 9,525  $10,348  $10,952  $11,799   $12,761  $13,282   $13,281  $14,634  $15,479   $16,237   $16,198
Lehman Brothers 1-3 Year
  Government Index(1)         $10,000  $10,736  $11,303  $12,050   $12,890  $13,570   $14,117  $15,538  $16,532   $17,466   $17,581
Lipper Short U.S.
  Government Funds Index(2)   $10,000  $10,711  $11,219  $11,948   $12,741  $13,354   $13,847  $15,202  $15,999   $16,735   $16,747
                                '94      '95      '96      '97       '98      '99       '00      '01      '02       '03       '04


(1)  Lehman Brothers 1-3 Year Government Index, an unmanaged index, is made up
     of all publicly issued, non-convertible domestic debt of the U.S.
     government, or agency thereof, or any quasi-federal corporation. The index
     also includes corporate debt guaranteed by the U.S. government. Only notes
     and bonds with a minimum maturity of one year up to a maximum maturity of
     2.9 years are included.

(2)  The Lipper Short U.S. Government Funds Index, published by Lipper Inc.,
     includes the 30 largest funds that are generally similar to the Fund,
     although some funds in the index may have somewhat different investment
     policies and objectives.

                          Average Annual Total Returns
                  Class A with Sales Charge as of May 31, 2004
1 year                                                            -4.97%
5 years                                                           +3.04%
10 years                                                          +4.94%

             Results for other share classes can be found on page 5.

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9   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Investments in Securities

Government Income Portfolio

May 31, 2004

(Percentages represent value of investments compared to net assets)

Bonds (98.9%)
Issuer                Coupon                     Principal         Value(a)
                       rate                       amount

U.S. government obligations & agencies (48.3%)
Federal Farm Credit Bank
   07-17-06     2.13%                          $15,100,000      $14,853,870
   10-02-06     2.38                            14,600,000       14,367,130
Federal Home Loan Bank
   09-15-06     2.88                            17,400,000       17,336,316
Federal Home Loan Mtge Corp
   01-15-06     5.25                            43,500,000       45,373,197
   08-15-06     2.75                            92,650,000       92,262,445
   08-25-06     3.13                            42,000,000       41,855,071
   10-27-06     3.00                            15,000,000       14,939,214
   02-15-07     2.38                            43,625,000       42,583,715
   09-15-08     3.63                            11,543,000       11,362,583
Federal Natl Mtge Assn
   02-28-06     2.25                             6,770,000        6,726,279
   02-15-07     2.38                            36,985,000       36,107,420
   05-15-08     6.00                            17,850,000       19,223,433
Student Loan Mtge Assn
   03-15-06     5.25                            13,200,000       13,780,510
   12-15-32     2.25                            16,325,000       16,296,921
   03-15-33     2.16                            14,800,000       14,785,644
U.S. Treasury
   02-15-05     7.50                            27,500,000(j)    28,631,158
   08-15-05    10.75                            85,590,000       94,459,948
   11-15-05     5.75                           154,125,000      161,951,621
   12-31-05     1.88                           142,920,000      141,993,307
   01-31-06     1.88                            46,320,000       45,965,374
   11-15-06     3.50                           147,700,000(j)   149,996,291
   08-15-07     3.25                            40,250,000(j)    40,347,486
   11-15-09    10.38                            48,000,000(j)    49,936,896
Total                                                         1,115,135,829

Commercial mortgage-backed/
Asset-backed securities (2.3%)(f)
Centex Home Equity
  Series 2001-A Cl A4
   07-25-29     6.47                             7,516,421        7,741,269
Conseco Finance
  Series 2000-D Cl A4
   12-15-25     8.17                             3,838,962        3,927,061
KSL Resorts
  Series 2003-1A Cl A
   05-15-13     1.65                             7,400,000(h)     7,403,278
LB-UBS Commercial Mtge Trust
  Series 2002 C2 Cl A2
   06-15-26     4.90                             9,600,000        9,887,829
Residential Asset Securities
  Series 2002-KS1 Cl AI4
   11-25-29     5.86                            23,400,000       23,841,792
Total                                                            52,801,229

Mortgage-backed securities (47.5%)(f,g)
Federal Home Loan Mtge Corp
   09-01-09     6.50                               496,207          528,658
   10-01-10     7.00                             1,539,392        1,637,598
   03-01-12     7.50                             5,900,700        6,336,073
   07-01-12     5.50                               650,377          669,812
   02-01-13     5.00                             4,387,044        4,455,420
   04-01-13     4.50                             2,985,581        2,992,812
   04-01-13     5.00                             3,945,587        4,007,082
   05-01-13     4.50                            25,773,152       25,835,991
   01-01-14     4.00                            13,542,059       13,304,853
   05-01-14     4.00                            10,065,000        9,644,496
   06-01-15     7.50                            11,780,508       12,708,135
   04-01-17     6.50                            34,091,854       36,286,610
   07-01-17     6.50                            18,661,292       19,721,616
   11-01-17     5.50                            11,168,015       11,413,923
   07-01-24     8.00                               888,651          967,673
   01-01-25     9.00                             1,077,426        1,202,853
   06-01-25     8.00                               965,816        1,052,595
   08-01-25     8.00                               247,314          269,535
   05-01-26     9.00                             1,813,483        2,026,727

See accompanying notes to investments in securities.
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10   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Bonds (continued)
Issuer                Coupon                     Principal         Value(a)
                       rate                       amount

Mortgage-backed securities (cont.)
Federal Home Loan Mtge Corp (cont.)
  Collateralized Mtge Obligation
   12-15-08     6.00%                          $11,749,234      $12,248,921
   03-15-12     5.00                            18,880,507       19,319,730
   04-15-12     5.00                            21,862,191       22,483,733
   03-15-15     5.50                            40,888,673       41,963,155
   10-15-15     5.00                            29,046,000       29,835,113
   01-15-16     5.00                             9,125,000        9,394,964
   02-15-16     5.00                            28,636,488       29,478,627
   06-15-16     7.00                            14,961,944       15,918,029
   08-15-16     4.00                            13,754,798       13,526,240
   02-15-20     4.50                            15,450,000       15,264,538
  Interest Only
   12-15-12    12.70                            17,890,997(b)     1,408,916
   02-15-14     7.40                            13,987,282(b)     1,240,112
   06-15-18     7.59                            11,175,360(b)       702,735
   01-01-20     0.00                                20,793(b)         3,925
  Interest Only/Inverse Floater
   03-15-32     0.00                             5,359,289(b,e)     505,920
Federal Natl Mtge Assn
   09-01-07     8.50                               226,651          233,007
   10-01-07     7.50                               727,283          776,894
   12-01-08     7.50                             1,176,831        1,249,987
   01-01-09     5.74                             3,254,080        3,438,083
   05-01-09     7.50                             2,541,680        2,715,058
   10-01-09     7.11                             4,315,659        4,797,616
   01-01-10     5.00                             1,312,175        1,335,051
   07-01-11     7.50                             1,134,315        1,211,553
   11-01-12     5.00                               899,512          913,532
   12-01-12     5.00                             1,420,641        1,446,719
   04-01-13     5.50                            17,919,691       18,455,181
   05-01-13     5.00                            22,073,449       22,417,484
   05-01-13     5.50                             5,566,955        5,728,397
   05-01-13     6.00                             1,277,018        1,330,271
   06-01-13     5.00                             3,725,591        3,783,658
   08-01-13     4.50                            10,430,332       10,455,593
   10-01-13     6.00                             3,626,135        3,777,352
   12-01-13     5.50                             1,812,771        1,862,487
   01-01-14     5.50                             1,080,553        1,110,188
   01-01-14     6.00                               638,963          665,609
   03-01-14     6.00                             1,297,022        1,351,110
   06-01-14     6.50                            11,915,144       12,604,570
   08-01-14     6.50                               705,240          745,445
   08-01-15     5.50                            24,300,972       24,967,434
   05-01-17     7.00                             1,196,253        1,272,963
   06-01-17     6.00                            18,298,700       19,130,714
   06-01-17     6.50                             4,644,583        4,904,610
   06-01-17     7.00                             1,090,010        1,159,906
   07-01-17     6.00                            37,901,340       39,615,591
   08-01-17     5.50                            26,166,387       26,854,405
   08-01-17     6.00                            16,196,902       16,865,515
   08-01-17     7.00                             1,808,604        1,924,581
   09-01-17     6.00                               618,876          643,072
   11-01-17     5.50                            25,587,084       26,220,783
   11-01-17     6.00                             2,375,460        2,492,313
   01-01-18     5.50                             2,327,245        2,390,896
   02-01-18     5.50                            16,712,298       17,166,728
   03-01-18     5.50                             1,802,041        1,841,407
   04-01-18     5.50                            14,767,429       15,171,452
   05-01-18     5.50                             4,683,967        4,791,574
   06-01-18     5.50                             1,094,106        1,121,972
   11-01-21     8.00                               352,622          384,977
   11-01-23     6.00                             2,389,378        2,444,586
   06-01-24     9.00                               814,178          905,799
   02-01-26     6.00                               130,704          133,501
   05-01-26     7.50                             1,428,993        1,532,274
   12-01-28     7.00                             3,392,232        3,584,642
   04-01-31     6.50                             5,706,526        5,963,227
   09-01-31     7.50                             3,749,923        4,014,637
   11-01-31     6.50                             2,502,279        2,614,808
   09-01-32     6.50                             3,039,672        3,149,527
   10-01-32     7.00                             1,893,342        1,990,853
   11-01-32     7.00                             1,670,609        1,756,649
   01-01-33     4.85                             3,814,532(i)     3,855,455
   02-01-33     4.87                            20,518,894(i)    20,783,848
   04-01-33     4.37                            15,085,012(i)    15,092,403
   04-01-33     4.60                            11,465,843(i)    11,421,894
   04-01-33     4.88                            12,410,571(i)    12,859,054
   05-01-33     4.60                             9,348,516(i)     9,606,474
   07-01-33     4.45                             5,759,366(i)     5,785,393
   07-01-33     4.46                            13,972,841(i)    13,912,720
   07-01-33     4.97                             7,573,289(i)     7,490,106
   08-01-33     3.06                             1,361,102(i)     1,329,976
   08-01-33     4.12                             3,764,661(i)     3,708,848
   09-01-33     4.20                             3,560,857(i)     3,504,697
  Collateralized Mtge Obligation
   03-25-13     4.50                             8,134,093        8,258,551
   10-25-13     5.00                            23,148,264       23,679,299
   12-25-13     4.50                            21,428,571       21,842,245
   05-25-16     4.00                            11,160,000       10,956,191
   07-25-16     4.00                            11,000,000       10,733,723
   10-25-19     4.50                            14,800,000       14,723,616
   07-25-23     5.50                            21,000,000       21,770,750
   12-25-26     8.00                             5,421,821        5,801,932
   06-25-33     5.32                             7,120,488(i)     7,225,903

See accompanying notes to investments in securities.
- --------------------------------------------------------------------------------
11   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Bonds (continued)
Issuer                Coupon                     Principal         Value(a)
                       rate                       amount

Mortgage-backed securities (cont.)
Federal Natl Mtge Assn (cont.)
  Collateralized Mtge Obligation (cont.)
   11-25-33     2.91%                          $13,202,000      $12,987,468
   05-25-34     3.75                            10,100,000       10,057,391
   06-25-34     5.00                            12,750,000       12,895,179
   05-25-42     5.30                            11,500,000       11,833,900
   07-25-42     5.50                            28,960,774       29,430,938
   10-25-42     7.50                             6,432,793        6,870,923
  Interest Only
   05-25-12     0.00                             1,566,840(b)        10,880
   12-25-12    13.29                            13,483,827(b)     1,022,769
   11-25-13    10.08                            10,950,000(b)     1,314,963
   08-01-18     0.00                                11,638(b)         2,128
   01-15-20     0.00                               479,593(b)        94,920
   07-25-22     0.00                             1,615,881(b)       273,136
   03-25-23     7.94                             3,576,566(b)       760,814
  Interest Only/Inverse Floater
   02-25-32     0.00                             9,635,053(b,e)     995,738
  Principal Only
   06-25-21     2.00                                72,884(c)        67,573
Govt Natl Mtge Assn
   08-15-13     6.00                             1,979,348        2,068,275
   09-15-14     6.00                            12,338,701       12,895,450
   06-15-33     7.00                             5,138,588        5,451,721
  Collateralized Mtge Obligation
   11-20-13     5.50                             8,104,540        8,170,702
   03-16-19     2.95                            11,300,000       10,882,648
   07-16-21     3.41                            13,500,000       13,238,438
   09-16-21     3.23                            14,000,000       13,643,756
  Interest Only
   03-20-29     7.17                             6,900,000(b)       834,560
Total                                                         1,097,920,709

Banks and savings & loans (0.5%)
Washington Mutual
  Series 2002-AR15 Cl A5
   12-25-32     4.38                            11,723,375       11,761,142

Financial services (0.3%)
Residential Accredit Loans
  Series 2003-QS17 Cl CB7
   09-25-33     5.50                             6,494,742        6,594,185

Total bonds
(Cost: $2,300,763,328)                                       $2,284,213,094

Option purchased (--%)
Issuer           Notional         Exercise      Expiration         Value(a)
                  amount            price          date

Put
Sept. U.S. Treasury Nts Futures
   10-year      $53,800,000         $107         Aug. 2004         $622,063

Total option purchased
(Cost: $1,001,278)                                                 $622,063

Short-term securities (7.7%)(k,l)
Issuer              Annualized                    Amount           Value(a)
                   yield on date                payable at
                    of purchase                  maturity

U.S. government agencies (4.8%)
Federal Home Loan Mtge Corp Disc Nts
   07-27-04     1.04%                          $20,000,000      $19,965,239
   08-10-04     1.13                            29,400,000       29,338,260
   08-16-04     1.06                             4,900,000        4,888,828
Federal Natl Mtge Assn Disc Nts
   06-09-04     0.99                             3,500,000        3,498,891
   07-01-04     1.01                            21,000,000       20,981,015
   07-21-04     1.03                            20,000,000       19,970,327
   08-11-04     1.13                            11,200,000       11,176,144
Total                                                           109,818,704

Commercial paper (3.0%)
Barton Capital
   06-03-04     1.02                             1,700,000(d)     1,699,711
Fairway Finance
   06-01-04     1.03                            10,900,000(d)    10,898,753
HBOS Treasury Services
   07-23-04     1.08                             6,200,000        6,189,315
Variable Funding Capital
   06-01-04             1.03                    49,600,000(d)    49,594,323
Total                                                            68,382,102

Total short-term securities
(Cost: $178,194,933)                                           $178,200,806

Total investments in securities
(Cost: $2,479,959,539)(m)                                    $2,463,035,963

See accompanying notes to investments in securities.

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12   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Notes to investments in securities

(a)  Securities are valued by procedures described in Note 1 to the financial
     statements.

(b)  Interest only represents securities that entitle holders to receive only
     interest payments on the underlying mortgages. The yield to maturity of an
     interest only is extremely sensitive to the rate of principal payments on
     the underlying mortgage assets. A rapid (slow) rate of principal repayments
     may have an adverse (positive) effect on yield to maturity. The principal
     amount shown is the notional amount of the underlying mortgages. Interest
     rate disclosed represents yield based upon the estimated timing and amount
     of future cash flows as of May 31, 2004.

(c)  Principal only represents securities that entitle holders to receive only
     principal payments on the underlying mortgages. The yield to maturity of a
     principal only is sensitive to the rate of principal payments on the
     underlying mortgage assets. A slow (rapid) rate of principal repayments may
     have an adverse (positive) effect on yield to maturity. Interest rate
     disclosed represents yield based upon the estimated timing of future cash
     flows as of May 31, 2004.

(d)  Commercial paper sold within terms of a private placement memorandum,
     exempt from registration under Section 4(2) of the Securities Act of 1933,
     as amended, and may be sold only to dealers in that program or other
     "accredited investors." This security has been determined to be liquid
     under guidelines established by the board. These securities may be resold
     in transactions exempt from registration, normally to qualified
     institutional buyers. As of May 31, 2004, the value of these securities
     amounted to $62,192,787 or 2.7% of net assets.

(e)  Inverse floaters represent securities that pay interest at a rate that
     increases (decreases) in the same magnitude as, or in a multiple of, a
     decline (increase) in the LIBOR (London InterBank Offering Rate) Index.
     Interest rate disclosed is the rate in effect on May 31, 2004.

(f)  Mortgage-backed securities represent direct or indirect participations in,
     or are secured by and payable from, mortgage loans secured by real
     property, and include single- and multi-class pass-through securities and
     Collateralized Mortgage Obligations. These securities may be issued or
     guaranteed by U.S. government agencies or instrumentalities, or by private
     issuers, generally originators and investors in mortgage loans, including
     savings associations, mortgage bankers, commercial banks, investment
     bankers and special purpose entities. The maturity dates shown represent
     the original maturity of the underlying obligation. Actual maturity may
     vary based upon prepayment activity on these obligations. Unless otherwise
     noted, the coupon rates presented are fixed rates.

(g)  Comparable  securities are held to satisfy future delivery  requirements of
     the following open forward sale commitments as of May 31, 2004:

     Security                Principal     Settlement     Proceeds      Value
                              amount          date       receivable
     Federal Natl Mtge Assn
      06-01-19 5.50%        $75,000,000      6-17-04   $76,022,813   $76,476,600
      06-01-19 6.00          26,000,000      6-17-04    26,820,625    26,966,888

(h)  Interest rate varies either based on a predetermined schedule or to reflect
     current  market  conditions;  rate shown is the  effective  rate on May 31,
     2004.

(i)  Adjustable  rate mortgage;  interest rate varies to reflect  current market
     conditions; rate shown is the effective rate on May 31, 2004.

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13   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Notes to investments in securities (continued)

(j)  Partially pledged as initial deposit on the following open interest rate
     futures contracts (see Note 4 to the financial statements):

     Type of security                                    Notional amount

     Purchase contracts
     Eurodollar, Sept. 2004, 90-day                         $  3,000,000
     Eurodollar, Dec. 2004, 90-day                            43,750,000
     Eurodollar, March 2005, 90-day                           43,750,000
     Eurodollar, June 2005, 90-day                            43,750,000
     Eurodollar, Sept. 2005, 90-day                           43,750,000
     Eurodollar, Dec. 2005, 90-day                            43,750,000
     U.S. Long Bonds, Sept. 2004, 20-year                     16,800,000
     U.S. Treasury Notes, Sept. 2004, 2-year                  88,800,000
     U.S. Treasury Notes, Sept. 2004, 10-year                  3,500,000

     Sale contracts
     U.S. Treasury Notes, June 2004, 5-year                  152,700,000
     U.S. Treasury Notes, Sept. 2004, 5-year                 134,300,000

(k)  At May 31, 2004, cash or short-term securities were designated to cover
     open put options on futures written as follows (see Note 6 to the financial
     statements):



     Issuer                                      Notional     Exercise        Expiration            Value(a)
                                                  amount       price             date
                                                                                       
     U.S. Treasury Notes Sept. 2004, 10 year    $53,800,000     $105           Aug. 2004           $319,438


(l)  Cash collateral received from security lending activity is invested in
     short-term securities and represents 7.2% of this category (see Note 5 to
     the financial statements). 0.5% of the short-term securities is the Fund's
     cash equivalent position.

(m)  At May 31, 2004, the cost of securities for federal income tax purposes was
     $2,479,967,726 and the aggregate gross unrealized appreciation and
     depreciation based on that cost was:

     Unrealized appreciation                                $ 10,615,544
     Unrealized depreciation                                 (27,547,307)
                                                             -----------
     Net unrealized depreciation                            $(16,931,763)
                                                            ------------

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14   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Financial Statements



Statement of assets and liabilities
Government Income Portfolio

May 31, 2004
Assets
Investments in securities, at value (Note 1)*
                                                                                    
   (identified cost $2,479,959,539)                                                    $2,463,035,963
Accrued interest receivable                                                                13,519,113
Receivable for investment securities sold                                                 104,079,793
U.S. government securities held as collateral (Note 5)                                     27,785,055
                                                                                           ----------
Total assets                                                                            2,608,419,924
                                                                                        -------------
Liabilities
Disbursements in excess of cash on demand deposit                                             354,809
Payable for investment securities purchased                                                   588,984
Payable upon return of securities loaned (Note 5)                                         194,495,930
Accrued investment management services fee                                                     31,817
Other accrued expenses                                                                         76,693
Options contracts written, at value (premiums received $579,598) (Note 6)                     319,438
Forward sale commitments, at value (proceeds receivable $102,843,438) (Note 1)            103,443,488
                                                                                          -----------
Total liabilities                                                                         299,311,159
                                                                                          -----------
Net assets                                                                             $2,309,108,765
                                                                                       ==============
* Including securities on loan, at value (Note 5)                                      $  189,616,043
                                                                                       --------------


See accompanying notes to financial statements.

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15   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Statement of operations
Government Income Portfolio

Year ended May 31, 2004
Investment income
Income:
                                                                                      
Interest                                                                                 $ 90,569,238
Fee income from securities lending (Note 5)                                                   791,841
                                                                                              -------
Total income                                                                               91,361,079
                                                                                           ----------
Expenses (Note 2):
Investment management services fee                                                         14,303,395
Compensation of board members                                                                  18,225
Custodian fees                                                                                271,153
Audit fees                                                                                     37,125
Other                                                                                          77,690
                                                                                               ------
Total expenses                                                                             14,707,588
                                                                                           ----------
Investment income (loss) -- net                                                            76,653,491
                                                                                           ----------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
   Security transactions (Note 3)                                                          (3,751,368)
   Futures contracts                                                                      (11,185,027)
   Options contracts written (Note 6)                                                         992,519
                                                                                              -------
Net realized gain (loss) on investments                                                   (13,943,876)
Net change in unrealized appreciation (depreciation) on investments                       (56,711,856)
                                                                                          -----------
Net gain (loss) on investments                                                            (70,655,732)
                                                                                          -----------
Net increase (decrease) in net assets resulting from operations                          $  5,997,759
                                                                                         ============


See accompanying notes to financial statements.

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16   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Statements of changes in net assets
Government Income Portfolio

Year ended May 31,                                                             2004             2003
Operations
                                                                                      
Investment income (loss) -- net                                          $    76,653,491    $  108,160,481
Net realized gain (loss) on investments                                      (13,943,876)       44,169,376
Net change in unrealized appreciation (depreciation) on investments          (56,711,856)        9,722,424
                                                                             -----------         ---------
Net increase (decrease) in net assets resulting from operations                5,997,759       162,052,281
                                                                               ---------       -----------
Proceeds from contributions                                                    7,986,457     1,115,892,070
Fair value of withdrawals                                                 (1,233,308,157)     (257,074,099)
                                                                          --------------      ------------
Net contributions (withdrawals) from partners                             (1,225,321,700)      858,817,971
                                                                          --------------       -----------
Total increase (decrease) in net assets                                   (1,219,323,941)    1,020,870,252
Net assets at beginning of year                                            3,528,432,706     2,507,562,454
                                                                           -------------     -------------
Net assets at end of year                                                $ 2,309,108,765    $3,528,432,706
                                                                         ===============    ==============


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
17   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Notes to Financial Statements

Government Income Portfolio

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

Government Income Portfolio (the Portfolio) is a series of Income Trust (the
Trust) and is registered under the Investment Company Act of 1940 (as amended)
as a diversified, open-end management investment company. The Portfolio seeks to
provide a high level of current income and safety of principal consistent with
investment in U.S. government and government agency securities. The Declaration
of Trust permits the Trustees to issue non-transferable interests in the
Portfolio.

The Portfolio's significant accounting policies are summarized below:

Use of estimates

Preparing financial statements that conform to accounting principles generally
accepted in the United States of America requires management to make estimates
(e.g., on assets, liabilities and contingent assets and liabilities) that could
differ from actual results.

Valuation of securities

All securities are valued at the close of each business day. Securities traded
on national securities exchanges or included in national market systems are
valued at the last quoted sales price. Debt securities are generally traded in
the over-the-counter market and are valued at a price that reflects fair value
as quoted by dealers in these securities or by an independent pricing service.
Securities for which market quotations are not readily available are valued at
fair value according to methods selected in good faith by the board. Short-term
securities maturing in more than 60 days from the valuation date are valued at
the market price or approximate market value based on current interest rates;
those maturing in 60 days or less are valued at amortized cost.

Option transactions

To produce incremental earnings, protect gains and facilitate buying and selling
of securities for investments, the Portfolio may buy and sell put and call
options and write put and call options. This may include purchasing
mortgage-backed security (MBS) put spread options and writing covered MBS call
spread options. MBS spread options are based upon the changes in the price
spread between a specified mortgage-backed security and a like-duration Treasury
security. The risk in writing a call option is that the Portfolio gives up the
opportunity for profit if the market price of the security increases. The risk
in writing a put option is that the Portfolio may incur a loss if the market
price of the security decreases and the option is exercised. The risk in buying
an option is that the Portfolio pays a premium whether or not the option is
exercised. The Portfolio also has the additional risk of being unable to enter
into a closing transaction if a liquid secondary market does not exist. The
Portfolio also may write over-the-counter options where completing the
obligation depends upon the credit standing of the other party.

- --------------------------------------------------------------------------------
18   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Option contracts are valued daily at the closing prices on their primary
exchanges and unrealized appreciation or depreciation is recorded. The Portfolio
will realize a gain or loss when the option transaction expires or closes. When
options on debt securities or futures are exercised, the Portfolio will realize
a gain or loss. When other options are exercised, the proceeds on sales for a
written call option, the purchase cost for a written put option or the cost of a
security for a purchased put or call option is adjusted by the amount of premium
received or paid.

Futures transactions

To gain exposure to or protect itself from market changes, the Portfolio may buy
and sell financial futures contracts. Risks of entering into futures contracts
and related options include the possibility of an illiquid market and that a
change in the value of the contract or option may not correlate with changes in
the value of the underlying securities.

Upon entering into a futures contract, the Portfolio is required to deposit
either cash or securities in an amount (initial margin) equal to a certain
percentage of the contract value. Subsequent payments (variation margin) are
made or received by the Portfolio each day. The variation margin payments are
equal to the daily changes in the contract value and are recorded as unrealized
gains and losses. The Portfolio recognizes a realized gain or loss when the
contract is closed or expires.

Short sales

The Portfolio may engage in short sales. In these transactions, the Portfolio
sells a security that it does not own. The Portfolio is obligated to replace the
security that was short by purchasing it at the market price at the time of
replacement or entering into an offsetting transaction with the broker. The
price at such time may be more or less than the price at which the Portfolio
sold the security.

Forward sale commitments

The Portfolio may enter into forward sale commitments to hedge its portfolio
positions or to sell mortgage-backed securities it owns under delayed delivery
arrangements. Proceeds of forward sale commitments are not received until the
contractual settlement date. During the time a forward sale commitment is
outstanding, equivalent deliverable securities, or an offsetting forward
purchase commitment deliverable on or before the sale commitment date, are used
to satisfy the commitment.

Unsettled forward sale commitments are valued at the current market value of the
underlying securities, generally according to the procedures described under
"Valuation of securities" above. The forward sale commitment is
"marked-to-market" daily and the change in market value is recorded by the
Portfolio as an unrealized gain or loss. If the forward sale commitment is
closed through the acquisition of an offsetting purchase commitment, the
Portfolio realizes a gain or loss. If the Portfolio delivers securities under
the commitment, the Portfolio realizes a gain or a loss from the sale of the
securities based upon the market price established at the date the commitment
was entered into. Forward sale commitments outstanding at period end are listed
in the "Notes to investments in securities."

- --------------------------------------------------------------------------------
19   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Federal taxes

For federal income tax purposes the Portfolio qualifies as a partnership and
each investor in the Portfolio is treated as the owner of its proportionate
share of the net assets, income, expenses and realized and unrealized gains and
losses of the Portfolio. As a "pass-through" entity, the Portfolio therefore
does not pay any income dividends or capital gain distributions.

Other

Security transactions are accounted for on the date securities are purchased or
sold. Interest income, including amortization of premium, market discount and
original issue discount using the effective interest method, is accrued daily.

2. FEES AND EXPENSES

The Trust, on behalf of the Portfolio, has an Investment Management Services
Agreement with American Express Financial Corporation (AEFC) to manage its
portfolio. Under this agreement AEFC determines which securities will be
purchased, held or sold. The management fee is a percentage of the Portfolio's
average daily net assets in reducing percentages from 0.52% to 0.395% annually.

Under the agreement, the Trust also pays taxes, brokerage commissions and
nonadvisory expenses, which include custodian fees, audit and certain legal
fees, fidelity bond premiums, registration fees for units, office expenses,
consultants' fees, compensation of trustees, corporate filing fees, expenses
incurred in connection with lending securities of the Portfolio and any other
expenses properly payable by the Trust or Portfolio and approved by the board.

Under a Deferred Compensation Plan (the Plan), non-interested trustees may defer
receipt of their compensation. Deferred amounts are treated as though equivalent
dollar amounts had been invested in shares of the underlying Fund or other
American Express mutual funds. The Portfolio's liability for these amounts is
adjusted for market value changes and remains in the Portfolio until distributed
in accordance with the Plan.

The Portfolio pays custodian fees to American Express Trust Company, an
affiliate of AEFC.

According to a Placement Agency Agreement, American Express Financial Advisors
Inc. acts as placement agent of the Trust's units.

3. SECURITIES TRANSACTIONS

Cost of purchases and proceeds from sales of securities (other than short-term
obligations) aggregated $3,547,255,294 and $4,809,571,356, respectively, for the
year ended May 31, 2004. Realized gains and losses are determined on an
identified cost basis.

4. INTEREST RATE FUTURES CONTRACTS

As of May 31, 2004, investments in securities included securities valued at
$4,335,700 that were pledged as collateral to cover initial margin deposits on
1,534 open purchase contracts and 2,870 open sale contracts. The notional market
value of the open purchase contracts as of May 31, 2004 was $329,539,938 with a
net unrealized loss of $118,430. The notional market value of the open sale
contracts as of May 31, 2004 was $312,576,772 with a net unrealized gain of
$3,691,475. See "Summary of significant accounting policies" and "Notes to
investments in securities."

- --------------------------------------------------------------------------------
20   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


5. LENDING OF PORTFOLIO SECURITIES

As of May 31, 2004, securities valued at $189,616,043 were on loan to brokers.
For collateral, the Portfolio received $166,710,875 in cash and U.S. government
securities valued at $27,785,055. Cash collateral received is invested in
short-term securities, which are included in the short-term section of the
"Investments in securities." Income from securities lending amounted to $791,841
for the year ended May 31, 2004. The risks to the Portfolio of securities
lending are that the borrower may not provide additional collateral when
required or return the securities when due.

6. OPTIONS CONTRACTS WRITTEN

Contracts and premiums associated with options contracts written are as follows:

                                           Year ended May 31, 2004
                                        Puts                     Calls
                               Contracts    Premiums    Contracts    Premiums
Balance May 31, 2003                --    $        --        --    $        --
Opened                           4,415      3,415,181     7,787      7,020,991
Closed                          (2,488)    (2,220,963)   (7,387)    (6,960,091)
Exercised                         (188)       (66,811)       --             --
Expired                         (1,201)      (547,809)     (400)       (60,900)
                               -------    -----------    ------    -----------
Balance May 31, 2004               538    $   579,598        --    $        --
                               -------    -----------    ------    -----------

See "Summary of significant accounting policies."

7. FINANCIAL HIGHLIGHTS

The table below shows certain important financial information for evaluating the
Portfolio's results.



Ratios/supplemental data
Fiscal period ended May 31,                                              2004       2003       2002       2001       2000
                                                                                                     
Ratio of expenses to average daily net assets(a)                         .51%       .50%       .52%       .54%       .51%
Ratio of net investment income (loss) to average daily net assets       2.65%      3.35%      4.43%      6.13%      6.11%
Portfolio turnover rate (excluding short-term securities)                125%       218%       267%       366%       674%
Total return(b)                                                          .13%      5.48%      6.27%     10.56%       .50%


(a)  Expense ratio is based on total expenses of the Portfolio before reduction
     of earnings credits on cash balances. The ratio does not include feeder
     fund expenses.

(b)  Total return is based on a calculated Portfolio NAV and does not reflect
     payment of a sales charge.

- --------------------------------------------------------------------------------
21   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Report of Independent Registered Public Accounting Firm

THE BOARD OF TRUSTEES AND UNITHOLDERS

INCOME TRUST

We have audited the accompanying statement of assets and liabilities, including
the schedule of investments in securities, of Government Income Portfolio (a
series of Income Trust) as of May 31, 2004, the related statement of operations
for the year then ended, the statements of changes in net assets for each of the
years in the two-year period ended May 31, 2004, and the financial highlights
for each of the years in the five-year period ended May 31, 2004. These
financial statements and financial highlights are the responsibility of
portfolio management. Our responsibility is to express an opinion on these
financial statements and the financial highlights based on our audits.

We conducted our audits in accordance with the standards of the Public Company
Accounting Oversight Board (United States). Those standards require that we plan
and perform the audit to obtain reasonable assurance about whether the financial
statements and the financial highlights are free of material misstatement. An
audit includes examining, on a test basis, evidence supporting the amounts and
disclosures in the financial statements. Our procedures included confirmation of
securities owned as of May 31, 2004, by correspondence with the custodian and
brokers or by other appropriate auditing procedures. An audit also includes
assessing the accounting principles used and significant estimates made by
management, as well as evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for our opinion.

In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of
Government Income Portfolio as of May 31, 2004, and the results of its
operations, changes in its net assets and the financial highlights for each of
the periods stated in the first paragraph above, in conformity with accounting
principles generally accepted in the United States of America.

KPMG LLP

Minneapolis, Minnesota

July 20, 2004

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22   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Financial Statements



Statement of assets and liabilities
AXP Short Duration U.S. Government Fund

May 31, 2004
Assets
                                                                                               
Investment in Portfolio (Note 1)                                                                     $2,308,987,264
Capital shares receivable                                                                                   857,044
                                                                                                            -------
Total assets                                                                                          2,309,844,308
                                                                                                      -------------
Liabilities
Dividends payable to shareholders                                                                           263,852
Capital shares payable                                                                                      656,391
Accrued distribution fee                                                                                     35,607
Accrued service fee                                                                                             314
Accrued transfer agency fee                                                                                   9,354
Accrued administrative services fee                                                                           2,940
Other accrued expenses                                                                                      607,064
                                                                                                            -------
Total liabilities                                                                                         1,575,522
                                                                                                          ---------
Net assets applicable to outstanding capital stock                                                   $2,308,268,786
                                                                                                     ==============
Represented by
Capital stock -- $.01 par value (Note 1)                                                             $    4,788,324
Additional paid-in capital                                                                            2,503,316,833
Excess of distributions over net investment income                                                         (154,011)
Accumulated net realized gain (loss) (Note 5)                                                          (185,992,649)
Unrealized appreciation (depreciation) on investments                                                   (13,689,711)
                                                                                                        -----------
Total -- representing net assets applicable to outstanding capital stock                             $2,308,268,786
                                                                                                     ==============
Net assets applicable to outstanding shares:               Class A                                   $1,187,755,557
                                                           Class B                                   $  963,349,248
                                                           Class C                                   $   37,978,432
                                                           Class I                                   $    4,080,900
                                                           Class Y                                   $  115,104,649
Net asset value per share of outstanding capital stock:    Class A shares      246,410,623           $         4.82
                                                           Class B shares      199,820,074           $         4.82
                                                           Class C shares        7,878,416           $         4.82
                                                           Class I shares          845,632           $         4.83
                                                           Class Y shares       23,877,655           $         4.82
                                                                                ----------           --------------


See accompanying notes to financial statements.

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23   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Statement of operations
AXP Short Duration U.S. Government Fund

Year ended May 31, 2004
Investment income
Income:
                                                                                                    
Interest                                                                                               $ 90,563,413
Fee income from securities lending                                                                          791,799
                                                                                                            -------
Total income                                                                                             91,355,212
                                                                                                         ----------
Expenses (Note 2):
Expenses allocated from Portfolio                                                                        14,706,970
Distribution fee
    Class A                                                                                               3,630,705
    Class B                                                                                              12,364,597
    Class C                                                                                                 486,007
Transfer agency fee                                                                                       3,618,082
Incremental transfer agency fee
    Class A                                                                                                 170,456
    Class B                                                                                                 215,639
    Class C                                                                                                  10,296
Service fee -- Class Y                                                                                      148,878
Administrative services fees and expenses                                                                 1,317,413
Compensation of board members                                                                                13,125
Printing and postage                                                                                        656,838
Registration fees                                                                                           103,534
Audit fees                                                                                                   12,375
Other                                                                                                        32,318
                                                                                                             ------
Total expenses                                                                                           37,487,233
    Earnings credits on cash balances (Note 2)                                                              (50,378)
                                                                                                            -------
Total net expenses                                                                                       37,436,855
                                                                                                         ----------
Investment income (loss) -- net                                                                          53,918,357
                                                                                                         ----------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
    Security transactions                                                                                (3,751,220)
    Futures contracts                                                                                   (11,184,415)
    Options contracts written                                                                               992,462
                                                                                                            -------
Net realized gain (loss) on investments                                                                 (13,943,173)
Net change in unrealized appreciation (depreciation) on investments                                     (56,709,554)
                                                                                                        -----------
Net gain (loss) on investments                                                                          (70,652,727)
                                                                                                        -----------
Net increase (decrease) in net assets resulting from operations                                        $(16,734,370)
                                                                                                       ============


See accompanying notes to financial statements.

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24   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Statements of changes in net assets
AXP Short Duration U.S. Government Fund

Year ended May 31,                                                                   2004                 2003
Operations and distributions
                                                                                               
Investment income (loss) -- net                                                $    53,918,357       $   82,662,013
Net realized gain (loss) on investments                                            (13,943,173)          44,167,207
Net change in unrealized appreciation (depreciation) on investments                (56,709,554)           9,722,377
                                                                                   -----------            ---------
Net increase (decrease) in net assets resulting from operations                    (16,734,370)         136,551,597
                                                                                   -----------          -----------
Distributions to shareholders from:
    Net investment income
      Class A                                                                      (32,141,993)         (45,444,253)
      Class B                                                                      (17,983,822)         (30,935,951)
      Class C                                                                         (706,906)            (946,842)
      Class I                                                                          (10,055)                  --
      Class Y                                                                       (3,546,323)          (5,490,847)
                                                                                    ----------           ----------
Total distributions                                                                (54,389,099)         (82,817,893)
                                                                                   -----------          -----------
Capital share transactions (Note 3)
Proceeds from sales
    Class A shares (Note 2)                                                        429,411,653        1,178,062,138
    Class B shares                                                                 218,218,185          998,456,600
    Class C shares                                                                  15,463,649           46,085,175
    Class I shares                                                                   4,117,088                   --
    Class Y shares                                                                  58,935,229           92,327,556
Reinvestment of distributions at net asset value
    Class A shares                                                                  29,532,472           40,761,864
    Class B shares                                                                  17,136,580           29,157,324
    Class C shares                                                                     654,048              844,242
    Class I shares                                                                       9,402                   --
    Class Y shares                                                                   2,825,788            4,979,945
Payments for redemptions
    Class A shares                                                                (962,651,760)        (701,715,252)
    Class B shares (Note 2)                                                       (819,584,452)        (577,985,093)
    Class C shares (Note 2)                                                        (35,046,321)         (18,398,418)
    Class I shares                                                                     (15,452)                  --
    Class Y shares                                                                (106,873,614)        (125,038,635)
                                                                                  ------------         ------------
Increase (decrease) in net assets from capital share transactions               (1,147,867,505)         967,537,446
                                                                                --------------          -----------
Total increase (decrease) in net assets                                         (1,218,990,974)       1,021,271,150
Net assets at beginning of year                                                  3,527,259,760        2,505,988,610
                                                                                 -------------        -------------
Net assets at end of year                                                      $ 2,308,268,786       $3,527,259,760
                                                                               ===============       ==============


See accompanying notes to financial statements.

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25   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Notes to Financial Statements

AXP Short Duration U.S. Government Fund

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

The Fund is a series of AXP Government Income Series, Inc and is registered
under the Investment Company Act of 1940 (as amended) as a diversified, open-end
management investment company. AXP Government Income Series, Inc. has 10 billion
authorized shares of capital stock that can be allocated among the separate
series as designated by the board.

The Fund offers Class A, Class B, Class C and Class Y shares.

o  Class A shares are sold with a front-end sales charge.

o  Class B shares may be subject to a contingent deferred sales charge (CDSC)
   and automatically convert to Class A shares during the ninth calendar year of
   ownership.

o  Class C shares may be subject to a CDSC.

o  Class Y shares have no sales charge and are offered only to qualifying
   institutional investors.

Effective March 4, 2004, the Fund offers an additional class of shares, Class I,
exclusively to certain institutional investors. Class I shares have no sales
charge and are made available through a separate prospectus supplement provided
to investors eligible to purchase the shares. As of May 31, 2004, AEFC and the
AXP Portfolio Builder Funds owned 100% of Class I shares, which represents 0.18%
of the Fund's net assets.

All classes of shares have identical voting, dividend and liquidation rights.
The distribution fee, incremental transfer agency fee and service fee (class
specific expenses) differ among classes. Income, expenses (other than class
specific expenses) and realized and unrealized gains or losses on investments
are allocated to each class of shares based upon its relative net assets.

Investment in Government Income Portfolio

The Fund invests all of its assets in Government Income Portfolio (the
Portfolio), a series of Income Trust (the Trust), an open-end investment company
that has the same objectives as the Fund. The Portfolio invests primarily in
U.S. government and government agency securities.

The Fund records daily its share of the Portfolio's income, expenses and
realized and unrealized gains and losses. The financial statements of the
Portfolio are included elsewhere in this report and should be read in
conjunction with the Fund's financial statements.

The Fund records its investment in the Portfolio at the value that is equal to
the Fund's proportionate ownership interest in the Portfolio's net assets. The
percentage of the Portfolio owned by the Fund as of May 31, 2004 was 99.99%.

- --------------------------------------------------------------------------------
26   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


All securities held by the Portfolio are valued at the close of each business
day. Securities traded on national securities exchanges or included in national
market systems are valued at the last quoted sales price. Debt securities are
generally traded in the over-the-counter market and are valued at a price that
reflects fair value as quoted by dealers in these securities or by an
independent pricing service. Securities for which market quotations are not
readily available are valued at fair value according to methods selected in good
faith by the board. Short-term securities maturing in more than 60 days from the
valuation date are valued at the market price or approximate market value based
on current interest rates; those maturing in 60 days or less are valued at
amortized cost.

Use of estimates

Preparing financial statements that conform to accounting principles generally
accepted in the United States of America requires management to make estimates
(e.g., on assets, liabilities and contingent assets and liabilities) that could
differ from actual results.

Federal taxes

The Fund's policy is to comply with all sections of the Internal Revenue Code
that apply to regulated investment companies and to distribute substantially all
of its taxable income to the shareholders. No provision for income or excise
taxes is thus required.

Net investment income (loss) and net realized gains (losses) may differ for
financial statement and tax purposes primarily because of deferred losses on
certain futures contracts and losses deferred due to "wash sale" transactions.
The character of distributions made during the year from net investment income
or net realized gains may differ from their ultimate characterization for
federal income tax purposes. Also, due to the timing of dividend distributions,
the fiscal year in which amounts are distributed may differ from the year that
the income or realized gains (losses) were recorded by the Fund.

On the statement of assets and liabilities, as a result of permanent book-to-tax
differences, undistributed net investment income has been increased by $631,155
and accumulated net realized loss has been increased by $631,155.

- --------------------------------------------------------------------------------
27   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


The tax character of distributions paid for the years indicated is as follows:

Year ended May 31,                            2004                  2003

Class A
Distributions paid from:
   Ordinary income                        $32,141,993           $45,444,253
   Long-term capital gain                          --                    --
Class B
Distributions paid from:
   Ordinary income                         17,983,822            30,935,951
   Long-term capital gain                          --                    --
Class C
Distributions paid from:
   Ordinary income                            706,906               946,842
   Long-term capital gain                          --                    --
Class I*
Distributions paid from:
   Ordinary income                             10,055                   N/A
   Long-term capital gain                          --                   N/A
Class Y
Distributions paid from:
   Ordinary income                          3,546,323             5,490,847
   Long-term capital gain                          --                    --

* Inception date was March 4, 2004.

As of May 31, 2004, the components of distributable earnings on a tax basis are
as follows:

Undistributed ordinary income                                 $     983,792
Accumulated long-term gain (loss)                             $(274,375,673)
Unrealized appreciation (depreciation)                        $  73,819,362

Dividends to shareholders

Dividends from net investment income, declared daily and payable monthly, when
available, are reinvested in additional shares of the Fund at net asset value or
payable in cash. Capital gains, when available, are distributed along with the
last income dividend of the calendar year.

2. EXPENSES AND SALES CHARGES

In addition to the expenses allocated from the Portfolio, the Fund accrues its
own expenses as follows:

The Fund has an agreement with AEFC to provide administrative services. Under an
Administrative Services Agreement, the Fund pays AEFC a fee for administration
and accounting services at a percentage of the Fund's average daily net assets
in reducing percentages from 0.05% to 0.025% annually. A minor portion of
additional administrative service expenses paid by the Fund are consultants'
fees and fund office expenses. Under this agreement, the Fund also pays taxes,
audit and certain legal fees, registration fees for shares, compensation of
board members, corporate filing fees and any other expenses properly payable by
the Fund and approved by the board.

- --------------------------------------------------------------------------------
28   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Under a Deferred Compensation Plan (the Plan), non-interested board members may
defer receipt of their compensation. Deferred amounts are treated as though
equivalent dollar amounts had been invested in shares of the Fund or other
American Express mutual funds. The Fund's liability for these amounts is
adjusted for market value changes and remains in the Fund until distributed in
accordance with the Plan.

Under a separate Transfer Agency Agreement, American Express Client Service
Corporation (AECSC) maintains shareholder accounts and records. The Fund pays
AECSC an annual fee per shareholder account for this service as follows:

o  Class A $20.50

o  Class B $21.50

o  Class C $21.00

o  Class Y $18.50

The incremental transfer agency fee is the amount charged to the specific
classes for the additional expense above the fee for Class Y.

Class I pays a transfer agency fee at an annual rate per shareholder account of
$1. This amount is included in the transfer agency fee on the statement of
operations.

In addition, AECSC is entitled to charge an annual closed account fee of $5 per
inactive account, charged on a pro rata basis from the date the account becomes
inactive until the date the account is purged from the transfer agent system
generally within one year. However, the closed account fee is currently not
effective.

The Fund has agreements with American Express Financial Advisors Inc. (the
Distributor) for distribution and shareholder services. Under a Plan and
Agreement of Distribution, the Fund pays a fee at an annual rate up to 0.25% of
the Fund's average daily net assets attributable to Class A shares and up to
1.00% for Class B and Class C shares.

Under a Shareholder Service Agreement, the Fund pays the Distributor a fee for
service provided to shareholders by financial advisors and other servicing
agents. The fee is calculated at a rate of 0.10% of the Fund's average daily net
assets attributable to Class Y shares.

Sales charges received by the Distributor for distributing Fund shares were
$5,744,897 for Class A, $2,275,430 for Class B and $34,803 for Class C for the
year ended May 31, 2004.

Beginning June 1, 2004, AEFC and its affiliates have agreed to waive certain
fees and expenses until May 31, 2005. Under this agreement, net expenses will
not exceed 0.93% for Class A, 1.68% for Class B, 1.68% for Class C, 0.74% for
Class I and 0.76% for Class Y of the Fund's average daily net assets.

During the year ended May 31, 2004, the Fund's transfer agency fees were reduced
by $50,378 as a result of earnings credits from overnight cash balances.

- --------------------------------------------------------------------------------
29   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


3. CAPITAL SHARE TRANSACTIONS

Transactions in shares of capital stock for the years indicated are as follows:



                                                                     Year ended May 31, 2004
                                              Class A         Class B        Class C       Class I*           Class Y
                                                                                            
Sold                                       87,696,692      44,598,088      3,158,063        846,839        12,038,535
Issued for reinvested distributions         6,044,611       3,507,313        133,878          1,941           578,270
Redeemed                                 (196,886,140)   (167,502,146)    (7,170,275)        (3,148)      (21,855,679)
                                         ------------    ------------     ----------        -------        ----------
Net increase (decrease)                  (103,144,837)   (119,396,745)    (3,878,334)       845,632        (9,238,874)
                                         ------------    ------------     ----------        -------        ----------

*Inception date was March 4, 2004.

                                                                     Year ended May 31, 2003
                                              Class A         Class B        Class C        Class I           Class Y
Sold                                      239,714,272     203,191,315      9,371,202            N/A        18,774,998
Issued for reinvested distributions         8,291,730       5,931,794        171,739            N/A         1,013,609
Redeemed                                 (142,692,553)   (117,558,389)    (3,737,168)           N/A       (25,473,839)
                                         ------------    ------------     ----------        -------        ----------
Net increase (decrease)                   105,313,449      91,564,720      5,805,773            N/A        (5,685,232)
                                         ------------    ------------     ----------        -------        ----------


4. BANK BORROWINGS

The Fund has a revolving credit agreement with a syndicate of banks headed by
Deutsche Bank, whereby the Fund is permitted to have bank borrowings for
temporary or emergency purposes to fund shareholder redemptions. The Fund must
maintain asset coverage for borrowings of at least 300%. The agreement, which
enables the Fund to participate with other American Express mutual funds,
permits borrowings up to $500 million, collectively. Interest is charged to each
Fund based on its borrowings at a rate equal to either the LIBOR plus 0.50%, the
IBOR plus 0.50% or the higher of the Federal Funds Rate plus 0.25% and the Prime
Lending Rate. Borrowings are payable within 60 days after such loan is executed.
The Fund also pays a commitment fee equal to its pro rata share of the amount of
the credit facility at a rate of 0.09% per annum. The Fund had no borrowings
outstanding during the year ended May 31, 2004.

5. CAPITAL LOSS CARRY-OVER

For federal income tax purposes, the Fund has a capital loss carry-over of
$274,375,673 as of May 31, 2004 that will expire in 2007 through 2012 if not
offset by capital gains. It is unlikely the board will authorize a distribution
of any net realized capital gains until the available capital loss carry-over
has been offset or expires.

- --------------------------------------------------------------------------------
30   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


6. FINANCIAL HIGHLIGHTS

The tables below show certain important financial information for evaluating the
Fund's results.



Class A
Per share income and capital changes(a)
Fiscal period ended May 31,                                             2004       2003       2002       2001       2000
                                                                                                   
Net asset value, beginning of period                                   $4.94      $4.85      $4.78      $4.59      $4.94
Income from investment operations:
Net investment income (loss)                                             .11        .15        .19        .27        .27
Net gains (losses) (both realized and unrealized)                       (.12)       .09        .08        .19       (.27)
Total from investment operations                                        (.01)       .24        .27        .46         --
Less distributions:
Dividends from net investment income                                    (.11)      (.15)      (.20)      (.27)      (.28)
Distributions from realized gains                                         --         --         --         --       (.07)
Total distributions                                                     (.11)      (.15)      (.20)      (.27)      (.35)
Net asset value, end of period                                         $4.82      $4.94      $4.85      $4.78      $4.59

Ratios/supplemental data
Net assets, end of period (in millions)                               $1,188     $1,728     $1,185     $1,047     $1,139
Ratio of expenses to average daily net assets(b)                        .97%       .95%       .95%       .98%       .92%
Ratio of net investment income (loss) to average daily net assets      2.19%      2.90%      4.01%      5.72%      5.71%
Portfolio turnover rate (excluding short-term securities)               125%       218%       267%       366%       674%
Total return(c)                                                        (.24%)     4.90%      5.77%     10.19%      (.01%)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(c)  Total return does not reflect payment of a sales charge.

- --------------------------------------------------------------------------------
31   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Class B
Per share income and capital changes(a)
Fiscal period ended May 31,                                             2004       2003       2002       2001       2000
                                                                                                    
Net asset value, beginning of period                                   $4.94      $4.85      $4.78      $4.59      $4.94
Income from investment operations:
Net investment income (loss)                                             .07        .11        .16        .24        .24
Net gains (losses) (both realized and unrealized)                       (.12)       .09        .08        .18       (.28)
Total from investment operations                                        (.05)       .20        .24        .42       (.04)
Less distributions:
Dividends from net investment income                                    (.07)      (.11)      (.17)      (.23)      (.24)
Distributions from realized gains                                         --         --         --         --       (.07)
Total distributions                                                     (.07)      (.11)      (.17)      (.23)      (.31)
Net asset value, end of period                                         $4.82      $4.94      $4.85      $4.78      $4.59

Ratios/supplemental data
Net assets, end of period (in millions)                                 $963     $1,578     $1,104       $912       $981
Ratio of expenses to average daily net assets(b)                       1.72%      1.71%      1.71%      1.73%      1.68%
Ratio of net investment income (loss) to average daily net assets      1.44%      2.15%      3.25%      4.96%      4.95%
Portfolio turnover rate (excluding short-term securities)               125%       218%       267%       366%       674%
Total return(c)                                                        (.99%)     4.11%      4.98%      9.36%      (.77%)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(c)  Total return does not reflect payment of a sales charge.

- --------------------------------------------------------------------------------
32   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Class C
Per share income and capital changes(a)
Fiscal period ended May 31,                                             2004       2003       2002       2001(b)
                                                                                            
Net asset value, beginning of period                                   $4.94      $4.85      $4.78      $4.63
Income from investment operations:
Net investment income (loss)                                             .07        .11        .16        .22
Net gains (losses) (both realized and unrealized)                       (.12)       .09        .08        .14
Total from investment operations                                        (.05)       .20        .24        .36
Less distributions:
Dividends from net investment income                                    (.07)      (.11)      (.17)      (.21)
Net asset value, end of period                                         $4.82      $4.94      $4.85      $4.78

Ratios/supplemental data
Net assets, end of period (in millions)                                  $38        $58        $29         $7
Ratio of expenses to average daily net assets(c)                       1.73%      1.72%      1.72%      1.73%(d)
Ratio of net investment income (loss) to average daily net assets      1.44%      2.10%      3.09%      4.93%(d)
Portfolio turnover rate (excluding short-term securities)               125%       218%       267%       366%
Total return(e)                                                        (.99%)     4.11%      4.98%      8.08%(f)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Inception date was June 26, 2000.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  Total return does not reflect payment of a sales charge.

(f)  Not annualized.

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33   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Class I
Per share income and capital changes(a)
Fiscal period ended May 31,                                           2004(b)
Net asset value, beginning of period                                 $4.90
Income from investment operations:
Net investment income (loss)                                           .03
Net gains (losses) (both realized and unrealized)                     (.07)
Total from investment operations                                      (.04)
Less distributions:
Dividends from net investment income                                  (.03)
Net asset value, end of period                                       $4.83

Ratios/supplemental data
Net assets, end of period (in millions)                                 $4
Ratio of expenses to average daily net assets(c)                      .63%(d)
Ratio of net investment income (loss) to average daily net assets    2.74%(d)
Portfolio turnover rate (excluding short-term securities)             125%
Total return(e)                                                      (.87%)(f)

(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Inception date was March 4, 2004.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  Total return does not reflect payment of a sales charge.

(f)  Not annualized.

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34   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Class Y
Per share income and capital changes(a)
Fiscal period ended May 31,                                             2004       2003       2002       2001       2000
                                                                                                    
Net asset value, beginning of period                                   $4.94      $4.85      $4.78      $4.59      $4.94
Income from investment operations:
Net investment income (loss)                                             .12        .15        .20        .28        .28
Net gains (losses) (both realized and unrealized)                       (.12)       .09        .08        .19       (.28)
Total from investment operations                                          --        .24        .28        .47         --
Less distributions:
Dividends from net investment income                                    (.12)      (.15)      (.21)      (.28)      (.28)
Distributions from realized gains                                         --         --         --         --       (.07)
Total distributions                                                     (.12)      (.15)      (.21)      (.28)      (.35)
Net asset value, end of period                                         $4.82      $4.94      $4.85      $4.78      $4.59

Ratios/supplemental data
Net assets, end of period (in millions)                                 $115       $164       $188       $161       $175
Ratio of expenses to average daily net assets(b)                        .81%       .79%       .79%       .82%       .78%
Ratio of net investment income (loss) to average daily net assets      2.35%      3.12%      4.17%      5.89%      5.92%
Portfolio turnover rate (excluding short-term securities)               125%       218%       267%       366%       674%
Total return(c)                                                        (.08%)     5.07%      5.93%     10.36%       .15%


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(c)  Total return does not reflect payment of a sales charge.

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35   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Report of Independent Registered Public Accounting Firm

The board and shareholders

AXP GOVERNMENT Income SERIES, Inc.

We have audited the accompanying statement of assets and liabilities of AXP
Short Duration U.S. Government Fund (a series of AXP Government Income Series,
Inc.) as of May 31, 2004, the related statement of operations for the year then
ended, the statements of changes in net assets for each of the years in the
two-year period ended May 31, 2004, and the financial highlights for each of the
years in the five-year period ended May 31, 2004. These financial statements and
the financial highlights are the responsibility of fund management. Our
responsibility is to express an opinion on these financial statements and the
financial highlights based on our audits.

We conducted our audits in accordance with the standards of the Public Company
Accounting Oversight Board (United States). Those standards require that we plan
and perform the audit to obtain reasonable assurance about whether the financial
statements and the financial highlights are free of material misstatement. An
audit includes examining, on a test basis, evidence supporting the amounts and
disclosures in the financial statements. An audit also includes assessing the
accounting principles used and significant estimates made by management, as well
as evaluating the overall financial statement presentation. We believe that our
audits provide a reasonable basis for our opinion.

In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of AXP
Short Duration U.S. Government Fund as of May 31, 2004, and the results of its
operations, changes in its net assets and the financial highlights for each of
the periods stated in the first paragraph above, in conformity with accounting
principles generally accepted in the United States of America.

KPMG LLP

Minneapolis, Minnesota

July 20, 2004

- --------------------------------------------------------------------------------
36   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Federal Income Tax Information

(UNAUDITED)

The Fund is required by the Internal Revenue Code of 1986 to tell its
shareholders about the tax treatment of the dividends it pays during its fiscal
year. The dividends listed below are reported to you on Form 1099-DIV, Dividends
and Distributions. Shareholders should consult a tax advisor on how to report
distributions for state and local tax purposes.

AXP Short Duration U.S. Government Fund

Fiscal year ended May 31, 2004

Class A

Income distributions -- taxable as dividend income:
   Qualified Dividend Income for individuals                      0.00%
   Dividends Received Deduction for corporations                  0.00%

Payable date                                                  Per share
June 23, 2003                                                  $0.00850
July 24, 2003                                                   0.00805
Aug. 22, 2003                                                   0.00800
Sept. 22, 2003                                                  0.00800
Oct. 23, 2003                                                   0.00887
Nov. 21, 2003                                                   0.00900
Dec. 22, 2003                                                   0.01535
Jan. 26, 2004                                                   0.00920
Feb. 25, 2004                                                   0.00883
March 26, 2004                                                  0.00900
April 26, 2004                                                  0.00850
May 26, 2004                                                    0.00838

Total distributions                                            $0.10968

Class B

Income distributions -- taxable as dividend income:
   Qualified Dividend Income for individuals                      0.00%
   Dividends Received Deduction for corporations                  0.00%

Payable date                                                  Per share
June 23, 2003                                                  $0.00530
July 24, 2003                                                   0.00488
Aug. 22, 2003                                                   0.00506
Sept. 22, 2003                                                  0.00486
Oct. 23, 2003                                                   0.00572
Nov. 21, 2003                                                   0.00606
Dec. 22, 2003                                                   0.01221
Jan. 26, 2004                                                   0.00565
Feb. 25, 2004                                                   0.00586
March 26, 2004                                                  0.00595
April 26, 2004                                                  0.00537
May 26, 2004                                                    0.00538
Total distributions                                            $0.07230

- --------------------------------------------------------------------------------
37   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Class C

Income distributions -- taxable as dividend income:
      Qualified Dividend Income for individuals                   0.00%
      Dividends Received Deduction for corporations               0.00%

Payable date                                                  Per share
June 23, 2003                                                  $0.00529
July 24, 2003                                                   0.00486
Aug. 22, 2003                                                   0.00503
Sept. 22, 2003                                                  0.00482
Oct. 23, 2003                                                   0.00570
Nov. 21, 2003                                                   0.00604
Dec. 22, 2003                                                   0.01218
Jan. 26, 2004                                                   0.00563
Feb. 25, 2004                                                   0.00598
March 26, 2004                                                  0.00593
April 26, 2004                                                  0.00535
May 26, 2004                                                    0.00535
Total distributions                                            $0.07216

Class I

Income distributions -- taxable as dividend income:
      Qualified Dividend Income for individuals                   0.00%
      Dividends Received Deduction for corporations               0.00%

Payable date                                                  Per share
March 26, 2004                                                  0.01165
April 26, 2004                                                  0.00960
May 26, 2004                                                    0.00943
Total distributions                                            $0.03068

Class Y

Income distributions -- taxable as dividend income:
      Qualified Dividend Income for individuals                   0.00%
      Dividends Received Deduction for corporations               0.00%

Payable date                                                  Per share
June 23, 2003                                                  $0.00918
July 24, 2003                                                   0.00873
Aug. 22, 2003                                                   0.00863
Sept. 22, 2003                                                  0.00868
Oct. 23, 2003                                                   0.00955
Nov. 21, 2003                                                   0.00963
Dec. 22, 2003                                                   0.01603
Jan. 26, 2004                                                   0.00996
Feb. 25, 2004                                                   0.00945
March 26, 2004                                                  0.00965
April 26, 2004                                                  0.00918
May 26, 2004                                                    0.00902
Total distributions                                            $0.11769

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38   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


Board Members and Officers

Shareholders elect a board that oversees the Fund's operations. The board
appoints officers who are responsible for day-to-day business decisions based on
policies set by the board.

The following is a list of the Fund's board members. Each member oversees 15
Master Trust portfolios and 86 American Express mutual funds. Board members
serve until the next regular shareholders' meeting or until he or she reaches
the mandatory retirement age established by the board.



Independent Board Members

Name, address, age                 Position held       Principal occupation during past five     Other directorships
                                   with Fund and       years
                                   length of service
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
                                                                                        
Arne H. Carlson                    Board member        Chair, Board Services Corporation
901 S. Marquette Ave.              since 1999          (provides administrative services to
Minneapolis, MN 55402                                  boards). Former Governor  of Minnesota
Age 69
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Philip J. Carroll, Jr.             Board member        Retired Chairman and CEO,  Fluor          Scottish Power PLC, Vulcan
901 S. Marquette Ave.              since 2002          Corporation (engineering and              Materials Company, Inc.
Minneapolis, MN 55402                                  construction) since 1998                  (construction
Age 66                                                                                           materials/chemicals)
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Livio D. DeSimone                  Board member        Retired Chair of the Board and  Chief     Cargill, Incorporated
30 Seventh Street East             since 2001          Executive Officer, Minnesota Mining and   (commodity merchants and
Suite 3050                                             Manufacturing (3M)                        processors), General Mills,
St. Paul, MN 55101-4901                                                                          Inc. (consumer foods),
Age 70                                                                                           Vulcan Materials Company
                                                                                                 (construction materials/
                                                                                                 chemicals), Milliken &
                                                                                                 Company (textiles and
                                                                                                 chemicals), and Nexia
                                                                                                 Biotechnologies, Inc.
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Anne P. Jones                      Board member        Attorney and Consultant
901 S. Marquette Ave.              since 1985
Minneapolis, MN 55402
Age 69
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Stephen R. Lewis, Jr.*             Board member        Retired President and Professor of        Valmont Industries, Inc.
901 S. Marquette Ave.              since 2002          Economics, Carleton College               (manufactures irrigation
Minneapolis, MN 55402                                                                            systems)
Age 65
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------


*    Interested person of AXP Partners  International  Aggressive Growth Fund by
     reason of being a security  holder of  FleetBoston  Financial  Corporation,
     parent company of Columbia Wanger Asset Management, L.P., one of the fund's
     subadvisers.

- --------------------------------------------------------------------------------
39   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT




Independent Board Members (continued)

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
                                                                                        
Alan K. Simpson                   Board member         Former three-term United States Senator
1201 Sunshine Ave.                since 1997           for Wyoming
Cody, WY 82414
Age 72
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Alison Taunton-Rigby              Board member since   Founder and Chief Executive Officer,
901 S. Marquette Ave.             2002                 RiboNovix, Inc. since 2004; President,
Minneapolis, MN 55402                                  Forester Biotech since 2000; prior to
Age 60                                                 that, President and CEO, Aquila
                                                       Biopharmaceuticals, Inc.
- --------------------------------- -------------------- ----------------------------------------- -----------------------------

Board Member Affiliated with AEFC**

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
William F. Truscott               Board member         Senior Vice President - Chief
53600 AXP Financial Center        since 2001,  Vice    Investment Officer of AEFC since 2001.
Minneapolis, MN 55474             President  since     Former Chief Investment Officer and
Age 43                            2002                 Managing Director, Zurich Scudder
                                                       Investments
- --------------------------------- -------------------- ----------------------------------------- -----------------------------


** Interested person by reason of being an officer, director and/or employee of
   AEFC.

- --------------------------------------------------------------------------------
40   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


The board has appointed officers who are responsible for day-to-day business
decisions based on policies it has established. The officers serve at the
pleasure of the board. In addition to Mr. Truscott, who is vice president, the
Fund's other officers are:



Other Officers

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
                                                                                        
Jeffrey P. Fox                    Treasurer since      Vice President - Investment Accounting,
50005 AXP Financial Center        2002                 AEFC, since 2002;  Vice President -
Minneapolis, MN 55474                                  Finance, American Express Company,
Age 49                                                 2000-2002;  Vice President - Corporate
                                                       Controller, AEFC, 1996-2000
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Paula R. Meyer                    President since      Senior Vice President and General
596 AXP Financial Center          2002                 Manager - Mutual Funds, AEFC, since
Minneapolis, MN 55474                                  2002; Vice President and Managing
Age 50                                                 Director - American Express Funds,
                                                       AEFC, 2000-2002; Vice President, AEFC,
                                                       1998-2000
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Leslie L. Ogg                     Vice President,      President of Board Services Corporation
901 S. Marquette Ave.             General Counsel,
Minneapolis, MN 55402             and Secretary
Age 65                            since 1978
- --------------------------------- -------------------- ----------------------------------------- -----------------------------


The SAI has additional information about the Fund's directors and is available,
without charge, upon request by calling (800) 862-7919.

Proxy Voting

The policy of the Board is to vote all proxies of the companies in which the
Fund holds investments. The procedures are stated in the Statement of Additional
Information (SAI). You may obtain a copy of the SAI without charge by calling
(800) 862-7919; by looking at the Web site americanexpress.com/funds; or by
searching the Web site of the Securities and Exchange Commission
http://www.sec.gov. You may view the Fund's voting record for all portfolio
companies whose shareholders meetings were completed the previous quarter on
americanexpress.com/funds or obtain a copy by calling the Fund's administrator,
Board Services Corporation, collect at (612) 330-9283. In addition, after August
2004, information regarding how the Fund voted proxies relating to portfolio
securities during the most recent 12-month period ended June 30 will be
available at http://www.sec.gov.

- --------------------------------------------------------------------------------
41   ---   AXP SHORT DURATION U.S. GOVERNMENT FUND   ---   2004 ANNUAL REPORT


(logo)
AMERICAN
 EXPRESS
(R)

American Express Funds
70100 AXP Financial Center
Minneapolis, MN 55474

This report must be accompanied or preceded by the Fund's current prospectus.
Distributed by American Express Financial Advisors Inc. Member NASD.  American
Express Company is separate from American Express  Financial Advisors Inc. and
is not a broker-dealer.This report must be accompanied or preceded by the
Fund's current prospectus. Distributed by American Express Financial Advisors
Inc. Member NASD.  American Express Company is separate from American Express
Financial Advisors Inc. and is not a broker-dealer.



AXP(R)
  U.S. Government
        Mortgage
            Fund

                                                                   Annual Report
                                                            for the Period Ended
                                                                    May 31, 2004

AXP U.S. Government Mortgage Fund seeks to provide shareholders with current
income as its primary goal and, as its secondary goal, preservation of capital.

(logo)                                                                  (logo)
American                                                                AMERICAN
   Express(R)                                                            EXPRESS
 Funds                                                                  (R)


Table of Contents

Fund Snapshot                               3

Questions & Answers
   with Portfolio Management                4

The Fund's Long-term Performance            9

Investments in Securities                  10

Financial Statements                       14

Notes to Financial Statements              17

Report of Independent Registered
   Public Accounting Firm                  29

Federal Income Tax Information             30

Board Members and Officers                 33

Proxy Voting                               35

(logo) Dalbar

American Express(R) Funds' reports to shareholders have been awarded the
Communications Seal from Dalbar Inc., an independent financial services research
firm. The Seal recognizes communications demonstrating a level of excellence in
the industry.

- --------------------------------------------------------------------------------
2   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Fund Snapshot
        AS OF MAY31, 2004

PORTFOLIO MANAGER

Portfolio manager                                          Scott Kirby*
Since                                                              2/02
Years in industry                                                    25

* The Fund is managed by a team of portfolio managers led by Scott Kirby.

FUND OBJECTIVE

The Fund seeks to provide shareholders with current income as its primary goal
and, as its secondary goal, preservation of capital.

Inception dates
A: 2/14/02      B: 2/14/02      C: 2/14/02      Y: 2/14/02

Ticker symbols
A: AUGAX        B: AUGBX        C: AUGCX        Y: --

Total net assets                                         $320.6 million

Number of holdings                                                  152

Average weighted life**                                       4.8 years

Effective duration***                                         3.4 years

Weighted average bond rating                                        AAA

STYLE MATRIX

Shading within the style matrix indicates areas in which the Fund generally
invests.

     DURATION
SHORT   INT.  LONG
         X          HIGH
                    MEDIUM   QUALITY
                    LOW

SECTOR COMPOSITION

Percentage of portfolio assets

(pie chart)

Mortgage-backed securities 88.0%
Short-term securities 5.6%
U.S. government obligations & agencies 5.1%
CMBS/ABS* 1.3%

* Commercial mortgage-backed securities/Asset-backed securities

Credit Quality Summary

Percentage of portfolio assets excluding cash equivalents

AAA bonds                            100.0%

Individual security ratings are based on information from Standard & Poor's
Corp. and Moody's Investors Service. If a rating is unavailable, the rating is
determined through an internal analysis, if appropriate.

For further detail about these holdings, please refer to the section entitled
"Investments in Securities."

 **  Average  weighted  life is the average  number of years that each dollar of
     unpaid principal due on a security remains outstanding.

***  Effective  duration  measures  the  sensitivity  of a  security's  price to
     parallel  shifts in the yield curve (the graphical  depiction of the levels
     of interest rates from two years out to 30 years).  Positive duration means
     that as rates rise, the price decreases,  and negative  duration means that
     as rates rise, the price increases.

Individual securities owned by the Fund, but not shares of the Fund, are
guaranteed by the U.S. government, its agencies or instrumentalities as to
timely payments of principal and interest. The Fund's yield and share price are
not guaranteed, and may vary with market conditions.

Fund holdings are subject to change.

- --------------------------------------------------------------------------------
3   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Questions & Answers
        WITH PORTFOLIO MANAGEMENT

Below, Portfolio Manager Scott Kirby discusses the Fund's positioning and
results for the 12 months ended May 31, 2004.

Q:  How did the AXP U.S. Government Mortgage Fund perform for the current fiscal
    year?

A:  AXP U.S. Government Mortgage Fund's Class A shares (excluding sales charge)
    rose 1.27% for the 12-month period ended May 31, 2004. In comparison, the
    Lehman Brothers Mortgage-Backed Securities Index advanced 1.50%. The Fund's
    performance was slightly less than that of its peer group, represented by
    the Lipper U.S. Mortgage Funds Index, which rose 1.33% over the same time
    frame.

    To help keep the Fund competitive with its peers, we revised the Fund's
    expense cap effective June 1, 2004, reducing the maximum level of expenses
    borne by Class A shareholders from 0.99% of net assets per fiscal year to a
    maximum 0.945% per year.

Q:  What factors most affected Fund performance during the period?

A:  The hallmark of this fiscal year was volatility. Significant and severe
    volatility cast a shadow over the fixed income market, which tends to hurt
    the performance of mortgage-backed securities. The Fund, however, was well
    positioned through its security selection to offset much of the impact of
    the environment. The fixed income market rallied in June fueled by the
    expectation that interest rates would remain low -- and move even lower --
    until the economy showed sustained signs of a recovery. Then on June 25,
    2003, at the Federal Open Market Committee meeting, the Federal Reserve
    Board (the Fed) modified its stance on deflation and cut the targeted
    federal funds rate by only 0.25% (one-quarter of a percentage point) to
    1.00%. The market's expectation was

(bar chart)
                             PERFORMANCE COMPARISON
                         For the year ended May 31, 2004
                                       (bar 2)
 1.5%        (bar 1)                   +1.50%                (bar 3)
                +1.27%                                       +1.33%
 1.2%

 0.9%

 0.6%

 0.3%

 0.0%

(bar 1) AXP U.S. Government Mortgage Fund A (excluding sales charge)
(bar 2) Lehman Brothers Mortgage-Backed Securities Index (unmanaged)
(bar 3) Lipper U.S. Mortgage Funds Index

(see "The Fund's Long-term Performance" for Index descriptions)

Past performance is no guarantee of future results. The 4.75% sales charge
applicable to Class A shares of the Fund is not reflected in the bar chart; if
reflected, returns would be lower than those shown. The performance of Class B,
Class C and Class Y may vary from that shown above because of differences in
expenses.

The indices do not reflect the effects of sales charges, expenses (excluding
Lipper) and taxes.

- --------------------------------------------------------------------------------
4   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Questions & Answers

(begin callout quote)> We have positioned the Fund for an ongoing U.S.
economic recovery and a higher interest rate environment. (end callout quote)

    for a deeper cut, and the market's perception was now that deflation was not
    as big a threat as the Fed had led us to believe. This led to a market
    sell-off. Given the Fed's conservative action, together with signs that the
    economy may start to recover, U.S. Treasury yields rose dramatically by
    July. July was also the worst month for mortgage securities in history,
    based on duration-adjusted excess returns over U.S. Treasuries. The fourth
    calendar quarter of 2003 was a period of relative stability in the fixed
    income markets. During periods like this, mortgages tend to do well as was
    the case during this period.



AVERAGE ANNUAL TOTAL RETURNS
                             Class A                Class B                       Class C                 Class Y
(Inception dates)           (2/14/02)              (2/14/02)                     (2/14/02)               (2/14/02)
                        NAV(1)     POP(2)     NAV(1)    After CDSC(3)      NAV(1)     After CDSC(4)   NAV(5)    POP(5)
as of May 31, 2004
                                                                                        
1 year                  +1.27%     -3.54%     +0.52%       -3.35%          +0.52%        +0.52%       +1.45%    +1.45%
Since inception         +4.32%     +2.13%     +3.65%       +1.96%          +3.64%        +3.64%       +4.50%    +4.50%

as of June 30, 2004
1 year                  +1.70%     -3.14%     +1.14%       -2.76%          +1.14%        +1.14%       +1.88%    +1.88%
Since inception         +4.47%     +2.35%     +3.79%       +2.17%          +3.78%        +3.78%       +4.65%    +4.65%


The performance information shown represents the past performance and is not a
guarantee of future results. The investment return and principal value of your
investment and returns will fluctuate so that your shares, when redeemed, may be
worth more or less than their original cost. Current performance may be lower or
higher than the performance information shown. You may obtain performance
information current to the most recent month-end by calling (888) 723-8476 or
visiting www.americanexpress.com/funds. You should consider the investment
objectives, risks, and charges and expenses of the Fund carefully before
investing.

(1)  Excluding sales charge.

(2)  Returns at public offering price (POP) reflect a sales charge of 4.75%.

(3)  Returns at maximum contingent deferred sales charge (CDSC). CDSC applies as
     follows: first year 5%; second and third year 4%; fourth year 3%; fifth
     year 2%; sixth year 1%; no sales charge thereafter.

(4)  1% CDSC applies to redemptions made within the first year of purchase.

(5)  Sales charge is not applicable to these shares. Shares available to
     institutional investors only.

- --------------------------------------------------------------------------------
5   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Questions & Answers

    We adjusted the Fund's duration to a neutral position in June, as mortgage
    securities began to underperform, and maintained that strategy through July.
    By the end of August, the Fund was slightly shorter in duration than its
    benchmark. We believed that the shorter duration, a somewhat defensive
    positioning, would benefit performance during the economic recovery, and we
    held on to the Fund's shorter duration and conservative positioning going
    into January. We continued to believe signs were leading toward a pickup in
    the economic recovery. Therefore, our outlook called for the Fed to raise
    the target federal funds rate sooner than the view that was priced into the
    market. Based on this outlook, we shortened the duration of the Fund and
    improved the structure in its mortgage holdings. When job creation did not
    materialize as quickly as we expected, the Fund gave up some performance
    versus the broad-based benchmarks due to its shorter duration.

    Early in 2004, the U.S. fixed income markets (as measured by the Lehman
    Brothers Aggregate Bond Index) outperformed most stock market indices.
    Geopolitical tensions, global terrorist attacks and problems in the war with
    Iraq shook investors' confidence in the stock market and increased
    investors' interest in the fixed income market. Disappointing employment
    reports continued in the early months of 2004, which caused investors to
    question whether the U.S. economic recovery was really back on track.
    Although signs of an economic recovery were evident, it began to appear as
    if the jobs necessary to sustain the recovery were not developing. Fixed
    income investors grew concerned as weak employment reports continued in
    February (published in March), even though other data suggested that the
    jobs would eventually come through. A long-awaited strong employment report
    came through in March (published in early April) to show that non-farm
    payrolls increased by 308,000. Also, the previous two months payroll numbers
    were revised upward. Another strong employment report in April (published in
    early May)

- --------------------------------------------------------------------------------
6   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Questions & Answers

    was further evidence that the recovery picture was now in sharper focus.
    This, along with an unexpectedly high reading on the Consumer Price Index
    (CPI), contributed to bond yields rising sharply at the end of the reporting
    period.

    Throughout the period, the Fund focused on higher coupon mortgage-backed
    securities that would outperform if there were an increase in interest
    rates. However, the securities were carefully selected to also reduce the
    risk of prepayments if the increase in interest rates did not materialize.
    The Fund also participated in the use of derivative instruments this period.
    The use of derivative instruments, such as listed futures, is primarily for
    hedging either duration or the yield curve. The Fund will also use listed
    contracts, such as eurodollar and swap contracts, to manage spread product
    exposure in the portfolio.

Q:  What changes have you made to  the Fund?

A:  Early in the period, we repositioned the Fund by adding 30-year mortgages
    and selling securities with 15-year maturities. We felt there was better
    value in 30-year mortgages in anticipation of a flattening yield curve. We
    continued to emphasize those securities issued by government mortgage
    agencies, including Ginnie Mae, Fannie Mae and Freddie Mac. However, the
    Fund has a lower-than-index position in Ginnie Mae securities because we
    believe other sectors within the mortgage-backed sucurities market offer
    better relative value.

    Throughout the year, we positioned the Fund to use both specified securities
    as well as forward purchases also known as mortgage rolls. Our effective use
    of this roll strategy contributed to a portfolio turnover rate of 163% for
    the fiscal period.

    We reduced the duration of the Fund early in 2004 and continued to hold its
    duration short of the index. There have been no major shifts in asset
    allocation. We continue to remain slightly defensive by reducing the Fund's
    exposure to volatility, when possible.

- --------------------------------------------------------------------------------
7   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Questions & Answers

Q:  How do you intend to manage the Fund in the coming months?

A:  Looking ahead, we believe the Fed will raise interest rates some time this
    summer. The key question is: by how much? The fixed income futures market
    was already pricing in a total of 100 basis points (1%) in a series of
    interest rate increases by the end of December 2004. We have positioned
    the Fund for an ongoing U.S. economic recovery and a higher interest rate
    environment.

    We intend to keep the Fund's duration shorter than its benchmark until we
    believe the market has finished pricing in any Fed increases. As always, we
    continue to seek attractive buying opportunities, quality issues and
    security selection remain a priority.

- --------------------------------------------------------------------------------
8   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


The Fund's Long-term Performance

This chart illustrates the total value of an assumed $10,000 investment in AXP
U.S. Government Mortgage Fund Class A shares (from 3/1/02 to 5/31/04) as
compared to the performance of two widely cited performance indices, Lehman
Brothers Mortgage-Backed Securities Index and the Lipper U.S. Mortgage Funds
Index. In comparing the Fund's Class A shares to these indices, you should take
into account the fact that the Fund's performance reflects the maximum sales
charge of 4.75%, while such charges are not reflected in the performance of the
indices. Returns for the Fund include the reinvestment of any distribution paid
during each period.

The performance information shown represents the past performance and is not a
guarantee of future results. The value of your investment and returns will
fluctuate so that your shares, when redeemed, may be worth more or less than
their original cost. Returns do not reflect taxes payable on distributions and
redemptions. Current performance may be lower or higher than the performance
information shown. You may obtain performance information current to the most
recent month-end by calling (888) 723-8476 or visiting
www.americanexpress.com/funds. Also see "Past Performance" in the Fund's current
prospectus. You should consider the investment objectives, risks, and charges
and expenses of the Fund carefully before investing.



                   VALUE OF A HYPOTHETICAL $10,000 INVESTMENT
                      IN AXP U.S. GOVERNMENT MORTGAGE FUND

AXP U.S. Government Mortgage
                                                                              
  Fund Class A                             $ 9,525        $ 9,692         $10,363         $10,495
Lehman Brothers Mortgage-
  Backed Securities Index(1)               $10,000        $10,169         $10,822         $10,984
Lipper U.S. Mortgage Funds
  Index                                    $10,000        $10,128         $10,744         $10,887
                                            3/1/02        5/31/02         5/31/03         5/31/04


(1)  Lehman Brothers Mortgage-Backed Securities Index, an unmanaged index,
     includes 15- and 30-year fixed-rate securities backed by mortgage pools of
     the Government National Mortgage Association (GNMA), Federal Home Loan
     Mortgage Corporation (FHLMC), and Federal National Mortgage Association
     (FNMA).

(2)  The Lipper U.S. Mortgage Funds Index, published by Lipper Inc., includes
     the 10 largest funds that are generally similar to the Fund, although some
     funds in the index may have somewhat different invesmtent policies or
     objectives.

                          Average Annual Total Returns
                  Class A with Sales Charge as of May 31, 2004
1 year                                                                -3.54%
Since inception (2/14/02)                                             +2.13

             Results for other share classes can be found on page 5.

- --------------------------------------------------------------------------------
9   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Investments in Securities

AXP U.S. Government Mortgage Fund

May 31, 2004

(Percentages represent value of investments compared to net assets)

Bonds (99.9%)
Issuer                  Coupon                  Principal          Value(a)
                         rate                    amount

U.S. government obligations & agencies (5.4%)
Federal Home Loan Mtge Corp
   06-01-19              4.50%               $10,400,000(b)     $10,153,000
Federal Natl Mtge Assn
   06-01-19              4.50                  1,000,000(b)         976,250
U.S. Treasury
   05-15-09              3.88                  4,000,000          4,014,360
   05-15-14              4.75                  2,075,000          2,090,563
Total                                                            17,234,173

Commercial mortgage-backed/Asset-backed
securities (1.4%)(f)
Bank of America Alternative Loan Trust
  Series 2003-11 Cl 1A1
   01-25-34              6.00                  1,044,677          1,052,439
CS First Boston Mtge Securities
  Series 2003-8 Cl 5A1
   04-25-33              6.50                  1,184,436(h)       1,207,532
Structured Asset Securities
  Series 2003-33H Cl 1A1
   10-25-33              5.50                  2,419,876          2,373,896
Total                                                             4,633,867

Mortgage-backed securities (93.1%)(f)
Federal Home Loan Mtge Corp
   01-01-09              7.00                    369,606            393,632
   03-01-10              8.00                    634,646            683,024
   06-01-15              7.50                  2,332,605          2,516,280
   12-01-16              6.50                    624,301            663,255
   02-01-17              6.50                  2,503,351          2,664,630
   04-01-17              7.00                  1,306,734          1,401,670
   10-01-17              8.00                    833,887            906,082
   01-01-18              5.50                  1,709,252          1,746,887
   02-01-18              5.50                  1,050,535          1,073,667
   05-01-18              5.00                  2,642,345          2,661,438
   08-01-18              5.00                  2,750,292          2,763,340
   10-01-18              5.00                  3,471,176          3,477,298
   06-01-19              5.00                  3,000,000(b)       2,995,314
   03-01-22              6.50                    812,921            846,267
   04-01-22              6.50                  1,286,200          1,349,111
   03-01-30              7.50                    496,196            533,324
   12-01-30              5.50                  2,074,593          2,066,948
   06-01-31              8.00                    826,614            892,821
   03-01-32              7.00                    328,649            349,054
   07-01-32              7.00                    589,593            619,393
   08-01-32              6.50                  4,192,497          4,343,409
   09-01-32              6.50                  1,769,491          1,833,185
   04-01-33              6.00                  3,443,398          3,523,968
   06-01-33              5.50                  2,710,902          2,691,350
   07-01-33              6.00                  1,272,442          1,302,518
   08-01-33              5.00                  1,870,601          1,799,850
   09-01-33              4.56                  1,428,993(e)       1,423,805
   09-01-33              5.00                  2,893,578          2,784,134
  Collateralized Mtge Obligation
   10-15-18              5.00                  2,700,000          2,727,859
   11-15-18              5.00                  5,200,000          5,253,400
   11-15-21              5.00                  1,000,000          1,021,885
   02-15-27              5.00                  3,200,000          3,217,724
   11-15-28              4.50                  1,663,442          1,655,647
   02-15-33              5.50                  3,665,785          3,778,068
  Interest Only
   02-15-14              7.40                  1,740,392(g)         154,303
   06-15-18              7.59                  1,273,142(g)          80,058
   10-15-22             14.56                  1,733,193(g)         192,800
  Interest Only/Inverse Floater
   03-15-32              0.00                  1,030,582(d,g)        97,288
Federal Natl Mtge Assn
   05-01-08              7.75                    453,317            486,293
   10-01-09              8.50                    211,517            221,962
   08-01-10              7.50                    909,398            971,972
   04-01-11              6.50                    263,441            278,832
   08-01-16              6.50                    384,163            408,630
   11-01-16              7.00                    953,757          1,023,928
   02-01-17              7.00                  1,306,203          1,402,348
   03-01-17              6.00                  1,264,591          1,321,839
   03-01-17              6.50                    982,512          1,045,074
   03-01-17              7.00                     49,249             52,438

See accompanying notes to investments in securities.

- --------------------------------------------------------------------------------
10   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Bonds (continued)
Issuer                  Coupon                  Principal          Value(a)
                         rate                    amount

Mortgage-backed securities (cont.)
Federal Natl Mtge Assn (cont.)
   04-01-17              7.50%                  $107,624           $114,691
   05-01-17              6.00                    426,161            443,923
   07-01-17              6.00                  6,195,655          6,475,676
   08-01-17              5.50                  3,229,080          3,313,985
   09-01-17              6.50                  2,907,001          3,090,471
   10-01-17              5.50                    849,724            871,731
   11-01-17              5.50                  3,134,516          3,215,770
   12-01-17              5.50                  2,525,073          2,590,778
   12-01-17              6.00                  3,137,635          3,260,304
   02-01-18              5.50                  3,449,156          3,541,456
   04-01-18              5.50                  4,092,543          4,201,765
   05-01-18              5.00                  2,034,349          2,036,468
   06-01-18              5.00                  1,970,040          1,981,887
   07-01-18              4.50                    435,169            426,294
   08-01-18              4.50                  6,327,011(h)       6,196,517
   08-01-18              4.50                    992,215            972,050
   10-01-18              5.00                  2,846,759          2,849,723
   12-01-18              5.00                  2,105,754          2,113,178
   02-01-19              5.00                  1,685,394          1,687,149
   09-01-22              6.50                    917,202            954,968
   11-01-22              6.00                  1,060,287          1,089,385
   03-01-23              5.50                  2,070,199          2,100,812
   07-01-23              5.00                  1,128,770          1,109,704
   08-01-23              5.50                  4,291,964          4,327,383
   09-01-23              5.50                  3,582,582          3,609,914
   10-01-23              5.50                  1,912,302          1,927,570
   04-01-25              8.00                  1,342,578          1,484,001
   07-01-28              5.50                  1,950,926          1,943,346
   08-01-28              5.50                  1,365,676          1,360,370
   09-01-28              7.50                  1,802,880          1,934,322
   12-01-28              7.00                  1,672,709          1,784,387
   01-01-29              6.00                  1,495,165          1,523,635
   03-01-29              6.50                  3,961,641          4,129,593
   04-01-29              5.00                  1,996,805          1,926,575
   05-01-29              6.00                  1,149,421(b)       1,171,308
   06-01-29              6.00                  5,526,957          5,667,975
   06-01-29              7.50                  1,461,580          1,562,842
   06-01-31              7.00                  3,560,705          3,783,474
   09-01-31              7.00                  2,878,950          3,064,070
   09-01-31              7.50                  2,911,249          3,116,760
   10-01-31              9.50                    206,689            229,274
   11-01-31              6.50                  1,562,479          1,632,612
   01-01-32              6.00                  1,705,086          1,743,530
   01-01-32              6.50                  1,060,940          1,112,234
   03-01-32              7.00                  2,050,396          2,180,304
   04-01-32              6.50                  3,019,728          3,165,698
   04-01-32              7.00                  2,506,359          2,661,340
   05-01-32              6.50                  4,732,438          4,951,045
   05-01-32              7.00                  3,657,441          3,873,764
   06-01-32              6.50                  1,442,396          1,505,382
   07-01-32              6.50                    569,885            590,481
   08-01-32              6.50                  1,836,333          1,915,947
   09-01-32              6.00                  2,533,394          2,577,471
   09-01-32              6.50                  2,846,155          2,949,017
   10-01-32              5.50                    957,976            951,027
   11-01-32              6.00                  4,723,887          4,832,851
   12-01-32              6.00                  1,996,252          2,030,983
   12-01-32              6.50                  2,940,930          3,047,217
   12-01-32              7.50                    484,770            517,543
   01-01-33              6.00                  2,887,872          2,938,115
   01-01-33              7.00                  1,604,840          1,701,092
   02-01-33              5.50                  2,708,962          2,695,021
   03-01-33              5.50                  1,009,477(b)       1,003,770
   03-01-33              5.50                  2,734,160          2,721,713
   03-01-33              6.00                  5,430,134          5,537,171
   03-01-33              6.50                    653,430            679,286
   04-01-33              5.50                 13,564,721         13,504,211
   04-01-33              6.00                  5,010,879          5,100,003
   05-01-33              5.50                 10,386,926         10,313,201
   05-01-33              6.00                  2,243,816          2,289,242
   07-01-33              5.50                  6,767,266          6,716,680
   07-01-33              6.00                  1,499,224          1,531,510
   08-01-33              5.50                  1,454,055          1,442,633
   08-01-33              6.00                  4,179,190          4,250,904
   01-01-34              6.50                    972,895          1,016,565
   04-01-34              5.00                  3,487,616          3,361,434
   06-01-34              5.50                  3,700,000(b)       3,661,846
  Collateralized Mtge Obligation
   05-25-16              4.00                  2,000,000          1,963,475
   12-25-26              8.00                    774,546            828,847
   02-25-44              7.00                  2,000,000          2,115,938
  Interest Only
   10-25-09              0.00                  2,714,817(g)          15,983
   12-25-12             13.29                  1,651,081(g)         125,237

See accompanying notes to investments in securities.

- --------------------------------------------------------------------------------
11   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Bonds (continued)
Issuer                  Coupon                  Principal          Value(a)
                         rate                    amount

Mortgage-backed securities (cont.)
Govt Natl Mtge Assn
   04-15-29              6.50%                  $511,968           $532,842
   02-15-30              7.00                    466,902            494,135
   03-15-30              7.00                    551,620            583,795
   12-15-31              6.50                    801,965            834,370
   02-15-32              6.50                    952,957            991,414
   12-15-32              6.00                    798,133            814,111
   05-15-33              6.00                  1,101,734          1,123,493
   03-20-34              6.50                    451,862            466,415
Total                                                           298,476,384

Total bonds
(Cost: $322,571,363)                                           $320,344,424

Option purchased (--%)
Issuer           Notional         Exercise     Expiration          Value(a)
                  amount            price         date

Call
Sept. U.S. Treasury
  Nt Futures
  5-year        $10,000,000        $110.50      June 2004           $4,688

Total option purchased
(Cost: $30,088)                                                      $4,688

Short-term securities (5.9%)
Issuer                Annualized                 Amount            Value(a)
                     yield on date             payable at
                      of purchase               maturity

U.S. government agencies (3.3%)
Federal Home Loan Mtge Corp Disc Nt
   08-17-04              1.14%               $10,000,000         $9,976,900
Federal Natl Mtge Assn Disc Nt
   07-14-04              1.04                    700,000            699,114
Total                                                            10,676,014

Commercial paper (2.6%)
Park Avenue Receivables
   06-01-04              1.03                  4,300,000(c)       4,299,508
Variable Funding Capital
   06-14-04              1.03                  3,900,000(c)       3,898,103
Total                                                             8,197,611

Total short-term securities
(Cost: $18,871,693)                                             $18,873,625

Total investments in securities
(Cost: $341,473,144)(i)                                        $339,222,737

See accompanying notes to investments in securities.
- --------------------------------------------------------------------------------
12   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Notes to investments in securities

(a)  Securities are valued by procedures described in Note 1 to the financial
     statements.

(b)  At May 31, 2004, the cost of securities purchased, including interest
     purchased, on a when-issued and/or other forward-commitment basis was
     $19,854,310.

(c)  Commercial paper sold within terms of a private placement memorandum,
     exempt from registration under Section 4(2) of the Securities Act of 1933,
     as amended, and may be sold only to dealers in that program or other
     "accredited investors." This security has been determined to be liquid
     under guidelines established by the board. These securities may be resold
     in transactions exempt from registration, normally to qualified
     institutional buyers. As of May 31, 2004, the value of these securities
     amounted to $8,197,611 or 2.6% of net assets.

(d)  Inverse floaters represent securities that pay interest at a rate that
     increases (decreases) in the same magnitude as, or in a multiple of, a
     decline (increase) in the LIBOR (London InterBank Offering Rate) Index.
     Interest rate disclosed is the rate in effect on May 31, 2004.

(e)  Adjustable rate mortgage; interest rate varies to reflect current market
     conditions; rate shown is the effective rate on May 31, 2004.

(f)  Mortgage-backed securities represent direct or indirect participations in,
     or are secured by and payable from, mortgage loans secured by real
     property, and include single- and multi-class pass-through securities and
     Collateralized Mortgage Obligations. These securities may be issued or
     guaranteed by U.S. government agencies or instrumentalities, or by private
     issuers, generally originators and investors in mortgage loans, including
     savings associations, mortgage bankers, commercial banks, investment
     bankers and special purpose entities. The maturity dates shown represent
     the original maturity of the underlying obligation. Actual maturity may
     vary based upon prepayment activity on these obligations. Unless otherwise
     noted, the coupon rates presented are fixed rates.

(g)  Interest only represents securities that entitle holders to receive only
     interest payments on the underlying mortgages. The yield to maturity of an
     interest only is extremely sensitive to the rate of principal payments on
     the underlying mortgage assets. A rapid (slow) rate of principal repayments
     may have an adverse (positive) effect on yield to maturity. The principal
     amount shown is the notional amount of the underlying mortgages. Interest
     rate disclosed represents yield based upon the estimated timing and amount
     of future cash flows as of May 31, 2004.

(h)  Partially pledged as initial deposit on the following open interest rate
     futures contracts (see Note 5 to the financial statements):

     Type of security                                         Notional amount

     Purchase contracts
     U.S. Long Bond, Sept. 2004, 20-year                          $10,700,000

     Sale contracts
     U.S. Treasury Notes, June 2004, 5-year                         2,500,000
     U.S. Treasury Notes, Sept. 2004, 2-year                       20,000,000
     U.S. Treasury Notes, Sept. 2004, 5-year                        2,200,000

(i)  At May 31, 2004, the cost of securities for federal income tax purposes was
     $341,495,787 and the aggregate gross unrealized appreciation and
     depreciation based on that cost was:

     Unrealized appreciation                                      $ 1,850,708
     Unrealized depreciation                                       (4,123,758)
                                                                   ----------
     Net unrealized depreciation                                  $(2,273,050)
                                                                  -----------

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13   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Financial Statements



Statement of assets and liabilities
AXP U.S. Government Mortgage Fund

May 31, 2004
Assets
Investments in securities, at value (Note 1)
                                                                                                 
    (identified cost $341,473,144)                                                                     $339,222,737
Cash in bank on demand deposit                                                                               23,242
Capital shares receivable                                                                                   108,011
Accrued interest receivable                                                                               1,377,077
Receivable for investment securities sold                                                                 1,123,996
                                                                                                          ---------
Total assets                                                                                            341,855,063
                                                                                                        -----------
Liabilities
Dividends payable to shareholders                                                                            54,994
Capital shares payable                                                                                      177,644
Payable for investment securities purchased                                                               1,053,330
Payable for securities purchased on a forward-commitment basis (Note 1)                                  19,854,310
Accrued investment management services fee                                                                    4,575
Accrued distribution fee                                                                                      5,152
Accrued transfer agency fee                                                                                   1,563
Accrued administrative services fee                                                                             440
Other accrued expenses                                                                                       58,382
                                                                                                             ------
Total liabilities                                                                                        21,210,390
                                                                                                         ----------
Net assets applicable to outstanding capital stock                                                     $320,644,673
                                                                                                       ============
Represented by
Capital stock -- $.01 par value (Note 1)                                                               $    636,828
Additional paid-in capital                                                                              324,497,854
Excess of distributions over net investment income                                                         (169,582)
Accumulated net realized gain (loss)                                                                     (2,137,388)
Unrealized appreciation (depreciation) on investments                                                    (2,183,039)
                                                                                                         ----------
Total -- representing net assets applicable to outstanding capital stock                               $320,644,673
                                                                                                       ============
Net assets applicable to outstanding shares:                 Class A                                   $177,289,900
                                                             Class B                                   $128,608,354
                                                             Class C                                   $ 14,724,034
                                                             Class I                                   $      9,767
                                                             Class Y                                   $     12,618
Net asset value per share of outstanding capital stock:      Class A shares           35,218,317       $       5.03
                                                             Class B shares           25,536,915       $       5.04
                                                             Class C shares            2,923,120       $       5.04
                                                             Class I shares                1,942       $       5.03
                                                             Class Y shares                2,507       $       5.03
                                                                                           -----       ------------


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
14   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Statement of operations
AXP U.S. Government Mortgage Fund

Year ended May 31, 2004
Investment income
Income:
                                                                                                     
Interest                                                                                                $16,242,923
                                                                                                        -----------
Expenses (Note 2):
Investment management services fee                                                                        2,063,726
Distribution fee
    Class A                                                                                                 540,930
    Class B                                                                                               1,621,705
    Class C                                                                                                 183,111
Transfer agency fee                                                                                         564,542
Incremental transfer agency fee
    Class A                                                                                                  31,990
    Class B                                                                                                  38,589
    Class C                                                                                                   3,954
Service fee -- Class Y                                                                                           12
Administrative services fees and expenses                                                                   204,741
Compensation of board members                                                                                 9,925
Custodian fees                                                                                               76,690
Printing and postage                                                                                         82,731
Registration fees                                                                                           103,609
Audit fees                                                                                                   19,000
Other                                                                                                           727
                                                                                                                ---
Total expenses                                                                                            5,545,982
    Expenses waived/reimbursed by AEFC (Note 2)                                                            (268,608)
                                                                                                           --------
                                                                                                          5,277,374
    Earnings credits on cash balances (Note 2)                                                               (5,775)
                                                                                                             ------
Total net expenses                                                                                        5,271,599
                                                                                                          ---------
Investment income (loss) -- net                                                                          10,971,324
                                                                                                         ----------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
    Security transactions (Note 3)                                                                       (1,934,596)
    Futures contracts                                                                                       (79,025)
    Options contracts written (Note 6)                                                                      252,128
                                                                                                            -------
Net realized gain (loss) on investments                                                                  (1,761,493)
Net change in unrealized appreciation (depreciation) on investments                                      (5,682,907)
                                                                                                         ----------
Net gain (loss) on investments                                                                           (7,444,400)
                                                                                                         ----------
Net increase (decrease) in net assets resulting from operations                                         $ 3,526,924
                                                                                                        ===========


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
15   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Statements of changes in net assets
AXP U.S. Government Mortgage Fund

Year ended May 31,                                                                   2004                 2003
Operations and distributions
                                                                                                 
Investment income (loss) -- net                                                  $  10,971,324         $  9,686,929
Net realized gain (loss) on investments                                             (1,761,493)           5,763,024
Net change in unrealized appreciation (depreciation) on investments                 (5,682,907)           2,819,705
                                                                                    ----------            ---------
Net increase (decrease) in net assets resulting from operations                      3,526,924           18,269,658
                                                                                     ---------           ----------
Distributions to shareholders from:
    Net investment income
       Class A                                                                      (6,673,492)          (6,365,488)
       Class B                                                                      (3,833,418)          (3,718,149)
       Class C                                                                        (435,554)            (383,803)
       Class I                                                                            (167)                  --
       Class Y                                                                            (414)                (475)
    Tax return of capital
       Class A                                                                        (379,306)                  --
       Class B                                                                        (217,882)                  --
       Class C                                                                         (24,756)                  --
       Class I                                                                              (9)                  --
       Class Y                                                                             (24)                  --
    Net realized gain
       Class A                                                                      (2,276,411)            (878,837)
       Class B                                                                      (1,733,487)            (703,993)
       Class C                                                                        (199,554)             (67,316)
       Class Y                                                                            (142)                 (57)
                                                                                   -----------          -----------
Total distributions                                                                (15,774,616)         (12,118,118)
                                                                                   -----------          -----------
Capital share transactions (Note 4)
Proceeds from sales
    Class A shares (Note 2)                                                         80,517,965          277,134,067
    Class B shares                                                                  42,305,093          210,911,273
    Class C shares                                                                   5,501,269           19,636,847
    Class I shares                                                                      44,454                   --
    Class Y shares                                                                         500                  502
Reinvestment of distributions at net asset value
    Class A shares                                                                   8,808,051            6,382,377
    Class B shares                                                                   5,526,710            4,108,191
    Class C shares                                                                     615,962              404,490
    Class I shares                                                                          66                   --
    Class Y shares                                                                         111                   85
Payments for redemptions
    Class A shares                                                                (156,430,470)         (93,565,033)
    Class B shares (Note 2)                                                       (114,195,539)         (45,757,524)
    Class C shares (Note 2)                                                        (12,356,331)          (3,415,045)
    Class I shares                                                                     (34,542)                  --
    Class Y shares                                                                          --                 (132)
                                                                                   -----------          -----------
Increase (decrease) in net assets from capital share transactions                 (139,696,701)         375,840,098
                                                                                  ------------          -----------
Total increase (decrease) in net assets                                           (151,944,393)         381,991,638
Net assets at beginning of year                                                    472,589,066           90,597,428
                                                                                   -----------           ----------
Net assets at end of year                                                        $ 320,644,673         $472,589,066
                                                                                 =============         ============


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
16   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Notes to Financial Statements

AXP U.S. Government Mortgage Fund

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

The Fund is a series of AXP Government Income Series, Inc. and is registered
under the Investment Company Act of 1940 (as amended) as a diversified,
open-end management investment company. AXP Government Income Series, Inc. has
10 billion authorized shares of capital stock that can be allocated among the
separate series as designated by the board. The Fund invests primarily in debt
obligations guaranteed as to principal and interest by the U.S. government,
its agencies or instrumentalities. Although the Fund may invest in any  U.S.
government securities, it is anticipated that U.S. government securities
representing part ownership in pools of mortgage loans (mortgage-backed
securities) will comprise a large percentage of the Fund's investments.

The Fund offers Class A, Class B, Class C and Class Y shares.

o  Class A shares are sold with a front-end sales charge.

o  Class B shares may be subject to a contingent deferred sales charge (CDSC)
   and automatically convert to Class A shares during the ninth calendar year of
   ownership.

o  Class C shares may be subject to a CDSC.

o  Class Y shares have no sales charge and are offered only to qualifying
   institutional investors.

Effective March 4, 2004, the Fund offers an additional class of shares, Class I,
exclusively to certain institutional investors. Class I shares have no sales
charge and are made available through a separate prospectus supplement provided
to investors eligible to purchase the shares. As of May 31, 2004, American
Express Financial Corporation (AEFC) and the AXP Portfolio Builder Funds owned
100% of Class I shares.

All classes of shares have identical voting, dividend and liquidation rights.
The distribution fee, incremental transfer agency fee and service fee (class
specific expenses) differ among classes. Income, expenses (other than class
specific expenses) and realized and unrealized gains or losses on investments
are allocated to each class of shares based upon its relative net assets.

The Fund's significant accounting policies are summarized below:

Use of estimates

Preparing financial statements that conform to accounting principles generally
accepted in the United States of America requires management to make estimates
(e.g., on assets, liabilities and contingent assets and liabilities) that could
differ from actual results.

- --------------------------------------------------------------------------------
17   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Valuation of securities

All securities are valued at the close of each business day. Securities traded
on national securities exchanges or included in national market systems are
valued at the last quoted sales price. Debt securities are generally traded in
the over-the-counter market and are valued at a price that reflects fair value
as quoted by dealers in these securities or by an independent pricing service.
Securities for which market quotations are not readily available are valued at
fair value according to methods selected in good faith by the board. Short-term
securities maturing in more than 60 days from the valuation date are valued at
the market price or approximate market value based on current interest rates;
those maturing in 60 days or less are valued at amortized cost.

Option transactions

To produce incremental earnings, protect gains and facilitate buying and selling
of securities for investments, the Fund may buy and sell put and call options
and write put and call options. This may include purchasing mortgage-backed
security (MBS) put spread options and writing covered MBS call spread options.
MBS spread options are based upon the changes in the price spread between a
specified mortgage-backed security and a like-duration Treasury security. The
risk in writing a call option is that the Fund gives up the opportunity for
profit if the market price of the security increases. The risk in writing a put
option is that the Fund may incur a loss if the market price of the security
decreases and the option is exercised. The risk in buying an option is that the
Fund pays a premium whether or not the option is exercised. The Fund also has
the additional risk of being unable to enter into a closing transaction if a
liquid secondary market does not exist. The Fund also may write over-the-counter
options where completing the obligation depends upon the credit standing of the
other party.

Option contracts are valued daily at the closing prices on their primary
exchanges and unrealized appreciation or depreciation is recorded. The Fund will
realize a gain or loss when the option transaction expires or closes. When
options on debt securities or futures are exercised, the Fund will realize a
gain or loss. When other options are exercised, the proceeds on sales for a
written call option, the purchase cost for a written put option or the cost of a
security for a purchased put or call option is adjusted by the amount of premium
received or paid.

Futures transactions

To gain exposure to or protect itself from market changes, the Fund may buy and
sell financial futures contracts. Risks of entering into futures contracts and
related options include the possibility of an illiquid market and that a change
in the value of the contract or option may not correlate with changes in the
value of the underlying securities.

Upon entering into a futures contract, the Fund is required to deposit either
cash or securities in an amount (initial margin) equal to a certain percentage
of the contract value. Subsequent payments (variation margin) are made or
received by the Fund each day. The variation margin payments are equal to the
daily changes in the contract value and are recorded as unrealized gains and
losses. The Fund recognizes a realized gain or loss when the contract is closed
or expires.

- --------------------------------------------------------------------------------
18   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Short sales

The Fund may engage in short sales. In these transactions, the Fund sells a
security that it does not own. The Fund is obligated to replace the security
that was short by purchasing it at the market price at the time of replacement
or entering into an offsetting transaction with the broker. The price at such
time may be more or less than the price at which the Fund sold the security.

Securities purchased on a forward-commitment basis

Delivery and payment for securities that have been purchased by the Fund on a
forward-commitment basis, including when-issued securities and other
forward-commitments, can take place one month or more after the transaction
date. During this period, such securities are subject to market fluctuations,
and they may affect the Fund's net assets the same as owned securities. The Fund
designates cash or liquid securities at least equal to the amount of its
forward-commitments. As of May 31, 2004, the Fund has entered into outstanding
when-issued securities of $17,685,018 and other forward-commitments of
$2,169,292.

The Fund also enters into transactions to sell purchase commitments to third
parties at current market values and concurrently acquires other purchase
commitments for similar securities at later dates. As an inducement for the Fund
to "roll over" its purchase commitments, the Fund receives negotiated amounts in
the form of reductions of the purchase price of the commitment.

Federal taxes

The Fund's policy is to comply with all sections of the Internal Revenue Code
that apply to regulated investment companies and to distribute substantially all
of its taxable income to shareholders. No provision for income or excise taxes
is thus required.

Net investment income (loss) and net realized gains (losses) may differ for
financial statement and tax purposes primarily because of deferred losses on
certain futures contracts and losses deferred due to "wash sale" transactions.
The character of distributions made during the year from net investment income
or net realized gains may differ from their ultimate characterization for
federal income tax purposes. Also, due to the timing of dividend distributions,
the fiscal year in which amounts are distributed may differ from the year that
the income or realized gains (losses) were recorded by the Fund.

On the statement of assets and liabilities, as a result of permanent book-to-tax
differences, undistributed net investment income has been increased by $38,038
and accumulated net realized loss has been increased by $37,418 resulting in a
net reclassification adjustment to decrease paid-in capital by $620.

- --------------------------------------------------------------------------------
19   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


The tax character of distributions paid for the years indicated is as follows:

Year ended May 31,                             2004             2003

Class A
Distributions paid from:
     Ordinary income                        $8,814,309       $7,244,325
     Long-term capital gain                    135,594               --
     Tax return of capital                     379,306               --
Class B
Distributions paid from:
     Ordinary income                         5,463,649        4,422,142
     Long-term capital gain                    103,256               --
     Tax return of capital                     217,882               --
Class C
Distributions paid from:
     Ordinary income                           623,221          451,119
     Long-term capital gain                     11,887               --
     Tax return of capital                      24,756               --
Class I*
Distributions paid from:
     Ordinary income                               167              N/A
     Long-term capital gain                         --              N/A
     Tax return of capital                           9               --
Class Y
Distributions paid from:
     Ordinary income                               548              532
     Long-term capital gain                          8               --
     Tax return of capital                          24               --

* Inception date was March 4, 2004.

As of May 31, 2004, the components of distributable earnings on a tax basis are
as follows:

Undistributed ordinary income                               $        --
Accumulated long-term gain (loss)                           $(1,882,303)
Unrealized appreciation (depreciation)                      $(2,552,712)

Dividends to shareholders

Dividends from net investment income, declared daily and payable monthly, when
available, are reinvested in additional shares of the Fund at net asset value or
payable in cash. Capital gains, when available, are distributed along with the
last income dividend of the calendar year.

Other

Security transactions are accounted for on the date securities are purchased or
sold. Interest income, including amortization of premium, market discount and
original issue discount using the effective interest method, is accrued daily.

- --------------------------------------------------------------------------------
20   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


2. EXPENSES AND SALES CHARGES

The Fund has agreements with AEFC to manage its portfolio and provide
administrative services. Under an Investment Management Services Agreement, AEFC
determines which securities will be purchased, held or sold. The management fee
is a percentage of the Fund's average daily net assets in reducing percentages
from 0.52% to 0.395% annually.

Under an Administrative Services Agreement, the Fund pays AEFC a fee for
administration and accounting services at a percentage of the Fund's average
daily net assets in reducing percentages from 0.05% to 0.025% annually. A minor
portion of additional administrative service expenses paid by the Fund are
consultants' fees and fund office expenses. Under this agreement, the Fund also
pays taxes, audit and certain legal fees, registration fees for shares,
compensation of board members, corporate filing fees and any other expenses
properly payable by the Fund and approved by the board.

Under a Deferred Compensation Plan (the Plan), non-interested board members may
defer receipt of their compensation. Deferred amounts are treated as though
equivalent dollar amounts had been invested in shares of the Fund or other
American Express mutual funds. The Fund's liability for these amounts is
adjusted for market value changes and remains in the Fund until distributed in
accordance with the Plan.

Under a separate Transfer Agency Agreement, American Express Client Service
Corporation (AECSC) maintains shareholder accounts and records. The Fund pays
AECSC an annual fee per shareholder account for this service as follows:

o  Class A $20.50

o  Class B $21.50

o  Class C $21.00

o  Class Y $18.50

The incremental transfer agency fee is the amount charged to the specific
classes for the additional expense above the fee for Class Y.

Class I pays a transfer agency fee at an annual rate per shareholder account of
$1. This amount is included in the transfer agency fee on the statement of
operations.

In addition, AECSC is entitled to charge an annual closed account fee of $5 per
inactive account, charged on a pro rata basis from the date the account becomes
inactive until the date the account is purged from the transfer agent system
generally within one year. However, the closed account fee is currently not
effective.

The Fund has agreements with American Express Financial Advisors Inc. (the
Distributor) for distribution and shareholder services. Under a Plan and
Agreement of Distribution, the Fund pays a fee at an annual rate up to 0.25% of
the Fund's average daily net assets attributable to Class A shares and up to
1.00% for Class B and Class C shares.

Under a Shareholder Service Agreement, the Fund pays the Distributor a fee for
service provided to shareholders by financial advisors and other servicing
agents. The fee is calculated at a rate of 0.10% of the Fund's average daily net
assets attributable to Class Y shares.

Sales charges received by the Distributor for distributing Fund shares were
$1,117,521 for Class A, $279,925 for Class B and $16,963 for Class C for the
year ended May 31, 2004.

- --------------------------------------------------------------------------------
21   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


For the year ended May 31, 2004, AEFC and its affiliates waived certain fees and
expenses to 0.98% for Class A, 1.74% for Class B, 1.74% for Class C, 0.64% for
Class I and 0.81% for Class Y. Beginning June 1, 2004, AEFC and its affiliates
have agreed to waive certain fees and expenses until May 31, 2005. Under this
agreement, net expenses will not exceed 0.945% for Class A, 1.695% for Class B,
1.695% for Class C, 0.645% for Class I and 0.765% for Class Y of the Fund's
average daily net assets.

During the year ended May 31, 2004, the Fund's custodian and transfer agency
fees were reduced by $5,775 as a result of earnings credits from overnight cash
balances. The Fund also pays custodian fees to American Express Trust Company,
an affiliate of AEFC.

3. SECURITIES TRANSACTIONS

Cost of purchases and proceeds from sales of securities (other than short-term
obligations) aggregated $642,311,752 and $773,253,852, respectively, for the
year ended May 31, 2004. Realized gains and losses are determined on an
identified cost basis.

4. CAPITAL SHARE TRANSACTIONS

Transactions in shares of capital stock for the years indicated are as follows:



                                                                   Year ended May 31, 2004
                                              Class A         Class B        Class C     Class I*    Class Y
                                                                                          
Sold                                       15,645,306       8,226,489      1,069,281        8,629         97
Issued for reinvested distributions         1,719,729       1,078,130        120,137           13         22
Redeemed                                  (30,490,915)    (22,241,050)    (2,408,909)      (6,700)        --
                                          -----------     -----------     ----------       ------        ---
Net increase (decrease)                   (13,125,880)    (12,936,431)    (1,219,491)       1,942        119
                                          -----------     -----------     ----------        -----        ---

* Inception date was March 4, 2004.

                                                                   Year ended May 31, 2003
                                              Class A         Class B        Class C      Class I    Class Y
Sold                                       53,840,581      40,951,953      3,809,031          N/A         98
Issued for reinvested distributions         1,236,256         795,646         78,342          N/A         16
Redeemed                                  (18,129,387)     (8,851,021)      (659,979)         N/A        (25)
                                          -----------     -----------     ----------        -----        ---
Net increase (decrease)                    36,947,450      32,896,578      3,227,394          N/A         89
                                          -----------     -----------     ----------        -----        ---


5. INTEREST RATE FUTURES CONTRACTS

As of May 31, 2004, investments in securities included securities valued at
$601,669 that were pledged as collateral to cover initial margin deposits on 107
open purchase contracts and 147 open sale contracts. The notional market value
of the open purchase contracts as of May 31, 2004 was $11,258,406 with a net
unrealized loss of $48,592. The notional market value of the open sale contracts
as of May 31, 2004 was $26,173,531 with a net unrealized gain of $115,960. See
"Summary of significant accounting policies" and "Notes to investments in
securities."

- --------------------------------------------------------------------------------
22   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


6. OPTIONS CONTRACTS WRITTEN

Contracts and premiums associated with options contracts written are as follows:

                                         Year ended May 31, 2004
                                     Puts                       Calls
                             Contracts   Premiums      Contracts    Premiums
Balance May 31, 2003              --    $      --           --    $        --
Opened                           211      152,923        1,474      1,743,950
Closed                          (211)    (152,923)      (1,474)    (1,743,950)
                                ----     --------       ------     ----------
Balance May 31, 2004              --    $      --           --    $        --
                                ----    ---------       ------    -----------

See "Summary of significant accounting policies."

7. BANK BORROWINGS

The Fund has a revolving credit agreement with a syndicate of banks headed by
Deutsche Bank, whereby the Fund is permitted to have bank borrowings for
temporary or emergency purposes to fund shareholder redemptions. The Fund must
maintain asset coverage for borrowings of at least 300%. The agreement, which
enables the Fund to participate with other American Express mutual funds,
permits borrowings up to $500 million, collectively. Interest is charged to each
Fund based on its borrowings at a rate equal to either the LIBOR plus 0.50%, the
IBOR plus 0.50% or the higher of the Federal Funds Rate plus 0.25% and the Prime
Lending Rate. Borrowings are payable within 60 days after such loan is executed.
The Fund also pays a commitment fee equal to its pro rata share of the amount of
the credit facility at a rate of 0.09% per annum. The Fund had no borrowings
outstanding during the year ended May 31, 2004.

8. CAPITAL LOSS CARRY-OVER

For federal income tax purposes, the Fund has a capital loss carry-over of
$1,882,303 as of May 31, 2004 that will expire in 2012 and 2013 if not offset by
capital gains. It is unlikely the board will authorize a distribution of any net
realized capital gains until the available capital loss carry-over has been
offset or expires.

- --------------------------------------------------------------------------------
23   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


9. FINANCIAL HIGHLIGHTS

The tables below show certain important financial information for evaluating the
Fund's results.



Class A
Per share income and capital changes(a)
Fiscal period ended May 31,                                                            2004         2003          2002(b)
                                                                                                        
Net asset value, beginning of period                                                  $5.19        $5.06         $5.01
Income from investment operations:
Net investment income (loss)                                                            .16          .19           .04
Net gains (losses) (both realized and unrealized)                                      (.09)         .16           .04
Total from investment operations                                                        .07          .35           .08
Less distributions:
Dividends from net investment income                                                   (.16)        (.20)         (.03)
Tax return of capital                                                                  (.01)          --            --
Distributions from realized gains                                                      (.06)        (.02)           --
Total distributions                                                                    (.23)        (.22)         (.03)
Net asset value, end of period                                                        $5.03        $5.19         $5.06

Ratios/supplemental data
Net assets, end of period (in millions)                                                $177         $251           $58
Ratio of expenses to average daily net assets(c),(e)                                   .98%         .99%          .95%(d)
Ratio of net investment income (loss) to average daily net assets                     3.11%        3.31%         2.98%(d)
Portfolio turnover rate (excluding short-term securities)                              163%         227%          200%
Total return(f)                                                                       1.27%        6.93%         1.75%(g)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  For the period from Feb. 14, 2002 (when shares became publicly available)
     to May 31, 2002.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class A would have been 1.05%, 1.06% and
     1.58% for the periods ended May 31, 2004, 2003 and 2002, respectively.

(f)  Total return does not reflect payment of a sales charge.

(g)  Not annualized.

- --------------------------------------------------------------------------------
24   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Class B
Per share income and capital changes(a)
Fiscal period ended May 31,                                                            2004         2003          2002(b)
                                                                                                        
Net asset value, beginning of period                                                  $5.20        $5.07         $5.01
Income from investment operations:
Net investment income (loss)                                                            .12          .15           .03
Net gains (losses) (both realized and unrealized)                                      (.09)         .16           .05
Total from investment operations                                                        .03          .31           .08
Less distributions:
Dividends from net investment income                                                   (.12)        (.16)         (.02)
Tax return of capital                                                                  (.01)          --            --
Distributions from realized gains                                                      (.06)        (.02)           --
Total distributions                                                                    (.19)        (.18)         (.02)
Net asset value, end of period                                                        $5.04        $5.20         $5.07

Ratios/supplemental data
Net assets, end of period (in millions)                                                $129         $200           $28
Ratio of expenses to average daily net assets(c),(e)                                  1.74%        1.75%         1.74%(d)
Ratio of net investment income (loss) to average daily net assets                     2.35%        2.49%         2.68%(d)
Portfolio turnover rate (excluding short-term securities)                              163%         227%          200%
Total return(f)                                                                        .52%        6.12%         1.76%(g)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  For the period from Feb. 14, 2002 (when shares became publicly available)
     to May 31, 2002.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class B would have been 1.80%, 1.82% and
     2.34% for the periods ended May 31, 2004, 2003 and 2002, respectively.

(f)  Total return does not reflect payment of a sales charge.

(g)  Not annualized.

- --------------------------------------------------------------------------------
25   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Class C
Per share income and capital changes(a)
Fiscal period ended May 31,                                                            2004         2003          2002(b)
                                                                                                        
Net asset value, beginning of period                                                  $5.20        $5.07         $5.01
Income from investment operations:
Net investment income (loss)                                                            .12          .15           .03
Net gains (losses) (both realized and unrealized)                                      (.09)         .16           .05
Total from investment operations                                                        .03          .31           .08
Less distributions:
Dividends from net investment income                                                   (.12)        (.16)         (.02)
Tax return of capital                                                                  (.01)          --            --
Distributions from realized gains                                                      (.06)        (.02)           --
Total distributions                                                                    (.19)        (.18)         (.02)
Net asset value, end of period                                                        $5.04        $5.20         $5.07

Ratios/supplemental data
Net assets, end of period (in millions)                                                 $15          $22            $5
Ratio of expenses to average daily net assets(c),(e)                                  1.74%        1.75%         1.73%(d)
Ratio of net investment income (loss) to average daily net assets                     2.36%        2.50%         2.60%(d)
Portfolio turnover rate (excluding short-term securities)                              163%         227%          200%
Total return(f)                                                                        .52%        6.12%         1.74%(g)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  For the period from Feb. 14, 2002 (when shares became publicly available)
     to May 31, 2002.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class C would have been 1.80%, 1.82% and
     2.34% for the periods ended May 31, 2004, 2003 and 2002, respectively.

(f)  Total return does not reflect payment of a sales charge.

(g)  Not annualized.

- --------------------------------------------------------------------------------
26   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Class I
Per share income and capital changes(a)
Fiscal period ended May 31,                                             2004(b)
Net asset value, beginning of period                                   $5.15
Income from investment operations:
Net investment income (loss)                                             .05
Net gains (losses) (both realized and unrealized)                       (.11)
Total from investment operations                                        (.06)
Less distributions:
Dividends from net investment income                                    (.06)
Net asset value, end of period                                         $5.03

Ratios/supplemental data
Net assets, end of period (in millions)                                  $--
Ratio of expenses to average daily net assets(c)                        .64%(d)
Ratio of net investment income (loss) to average daily net assets      3.39%(d)
Portfolio turnover rate (excluding short-term securities)               163%
Total return(e)                                                       (1.38%)(f)

(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  Inception date was March 4, 2004.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  Total return does not reflect payment of a sales charge.

(f)  Not annualized.

- --------------------------------------------------------------------------------
27   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Class Y
Per share income and capital changes(a)
Fiscal period ended May 31,                                                            2004         2003          2002(b)
                                                                                                        
Net asset value, beginning of period                                                  $5.19        $5.06         $5.01
Income from investment operations:
Net investment income (loss)                                                            .17          .19           .04
Net gains (losses) (both realized and unrealized)                                      (.09)         .16           .04
Total from investment operations                                                        .08          .35           .08
Less distributions:
Dividends from net investment income                                                   (.17)        (.20)         (.03)
Tax return of capital                                                                  (.01)          --            --
Distributions from realized gains                                                      (.06)        (.02)           --
Total distributions                                                                    (.24)        (.22)         (.03)
Net asset value, end of period                                                        $5.03        $5.19         $5.06

Ratios/supplemental data
Net assets, end of period (in millions)                                                 $--          $--           $--
Ratio of expenses to average daily net assets(c),(e)                                   .81%         .80%          .78%(d)
Ratio of net investment income (loss) to average daily net assets                     3.29%        3.68%         2.95%(d)
Portfolio turnover rate (excluding short-term securities)                              163%         227%          200%
Total return(f)                                                                       1.45%        7.10%         1.80%(g)


(a)  For a share outstanding throughout the period. Rounded to the nearest cent.

(b)  For the period from Feb. 14, 2002 (when shares became publicly available)
     to May 31, 2002.

(c)  Expense ratio is based on total expenses of the Fund before reduction of
     earnings credits on cash balances.

(d)  Adjusted to an annual basis.

(e)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class Y would have been 0.87%, 0.88% and
     1.40% for the periods ended May 31, 2004, 2003 and 2002, respectively.

(f)  Total return does not reflect payment of a sales charge.

(g)  Not annualized.

- --------------------------------------------------------------------------------
28   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Report of Independent Registered Public Accounting Firm

THE BOARD AND SHAREHOLDERS

AXP GOVERNMENT INCOME SERIES, INC.

We have audited the accompanying statement of assets and liabilities, including
the schedule of investments in securities, of AXP U.S. Government Mortgage Fund
(a series of AXP Government Income Series, Inc.) as of May 31, 2004, the related
statement of operations for the year then ended, the statements of changes in
net assets for each of the years in the two-year period ended May 31, 2004, and
the financial highlights for each of the years in the two-year period ended May
31, 2004 and for the period from Feb. 14, 2002 (when shares became publicly
available) to May 31, 2002. These financial statements and the financial
highlights are the responsibility of fund management. Our responsibility is to
express an opinion on these financial statements and the financial highlights
based on our audits.

We conducted our audits in accordance with the standards of the Public Company
Accounting Oversight Board (United States). Those standards require that we plan
and perform the audit to obtain reasonable assurance about whether the financial
statements and the financial highlights are free of material misstatement. An
audit includes examining, on a test basis, evidence supporting the amounts and
disclosures in the financial statements. Our procedures included confirmation of
securities owned as of May 31, 2004, by correspondence with the custodian and
brokers or by other appropriate auditing procedures. An audit also includes
assessing the accounting principles used and significant estimates made by
management, as well as evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for our opinion.

In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of AXP
U.S. Government Mortgage Fund as of May 31, 2004, and the results of its
operations, changes in its net assets and the financial highlights for each of
the periods stated in the first paragraph above, in conformity with accounting
principles generally accepted in the United States of America.

KPMG LLP

Minneapolis, Minnesota

July 20, 2004

- --------------------------------------------------------------------------------
29   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Federal Income Tax Information

(UNAUDITED)

The Fund is required by the Internal Revenue Code of 1986 to tell its
shareholders about the tax treatment of the dividends it pays during its fiscal
year. The dividends listed below are reported to you on Form 1099-DIV, Dividends
and Distributions. Shareholders should consult a tax advisor on how to report
distributions for state and local tax purposes.

AXP U.S. Government Mortgage Fund
Fiscal year ended May 31, 2004

Class A

Income distributions -- taxable as dividend income:
     Qualified Dividend Income for individuals                          0.00%
     Dividends Received Deduction for corporations                      0.00%

Payable date                                                        Per share
June 23, 2003                                                        $0.01413
July 24, 2003                                                         0.01310
Aug. 22, 2003                                                         0.01107
Sept. 22, 2003                                                        0.01100
Oct. 23, 2003                                                         0.01100
Nov. 21, 2003                                                         0.01100
Dec. 22, 2003                                                         0.07590
Jan. 26, 2004                                                         0.01380
Feb. 25, 2004                                                         0.01600
March 26, 2004                                                        0.01750
April 26, 2004                                                        0.01666
May 26, 2004                                                          0.01402
Total                                                                $0.22518

Capital gain distributions -- taxable as long-term capital gain.

Payable date                                                        Per share
Dec. 22, 2003                                                        $0.00340
Total distributions*                                                 $0.22858

- --------------------------------------------------------------------------------
30   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Class B

Income distributions -- taxable as dividend income:
     Qualified Dividend Income for individuals                          0.00%
     Dividends Received Deduction for corporations                      0.00%

Payable date                                                        Per share
June 23, 2003                                                        $0.01076
July 24, 2003                                                         0.00975
Aug. 22, 2003                                                         0.00798
Sept. 22, 2003                                                        0.00768
Oct. 23, 2003                                                         0.00767
Nov. 21, 2003                                                         0.00788
Dec. 22, 2003                                                         0.07255
Jan. 26, 2004                                                         0.01006
Feb. 25, 2004                                                         0.01292
March 26, 2004                                                        0.01428
April 26, 2004                                                        0.01337
May 26, 2004                                                          0.01088
Total                                                                $0.18578

Capital gain distribution -- taxable as long-term capital gain.

Payable date                                                        Per share
Dec. 22, 2003                                                        $0.00340
Total distributions*                                                 $0.18918

Class C

Income distributions -- taxable as dividend income:
     Qualified Dividend Income for individuals                          0.00%
     Dividends Received Deduction for corporations                      0.00%

Payable date                                                        Per share
June 23, 2003                                                        $0.01078
July 24, 2003                                                         0.00976
Aug. 22, 2003                                                         0.00797
Sept. 22, 2003                                                        0.00771
Oct. 23, 2003                                                         0.00767
Nov. 21, 2003                                                         0.00789
Dec. 22, 2003                                                         0.07256
Jan. 26, 2004                                                         0.01008
Feb. 25, 2004                                                         0.01305
March 26, 2004                                                        0.01429
April 26, 2004                                                        0.01338
May 26, 2004                                                          0.01088
Total                                                                $0.18602

Capital gain distribution -- taxable as long-term capital gain.

Payable date                                                        Per share
Dec. 22, 2003                                                        $0.00340
Total distributions*                                                 $0.18942

- --------------------------------------------------------------------------------
31   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Class I

Income distributions -- taxable as dividend income:
     Qualified Dividend Income for individuals                          0.00%
     Dividends Received Deduction for corporations                      0.00%

Payable date                                                        Per share
March 26, 2004                                                       $0.02217
April 26, 2004                                                        0.01851
May 26, 2004                                                          0.01578
Total distributions                                                  $0.05646

Class Y

Income distributions -- taxable as dividend income:
     Qualified Dividend Income for individuals                          0.00%
     Dividends Received Deduction for corporations                      0.00%

Payable date                                                        Per share
June 23, 2003                                                        $0.01489
July 24, 2003                                                         0.01384
Aug. 22, 2003                                                         0.01178
Sept. 22, 2003                                                        0.01218
Oct. 23, 2003                                                         0.01177
Nov. 21, 2003                                                         0.01168
Dec. 22, 2003                                                         0.07660
Jan. 26, 2004                                                         0.01460
Feb. 25, 2004                                                         0.01664
March 26, 2004                                                        0.01808
April 26, 2004                                                        0.01777
May 26, 2004                                                          0.01469
Total                                                                $0.23452

Capital gain distribution -- taxable as long-term capital gain.

Payable date                                                        Per share
Dec. 22, 2003                                                        $0.00340
Total distributions*                                                 $0.23792

* $0.01 per share represents a tax return of capital.

- --------------------------------------------------------------------------------
32   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


Board Members and Officers

Shareholders elect a board that oversees the Fund's operations. The board
appoints officers who are responsible for day-to-day business decisions based on
policies set by the board.

The following is a list of the Fund's board members. Each member oversees 15
Master Trust portfolios and 86 American Express mutual funds. Board members
serve until the next regular shareholders' meeting or until he or she reaches
the mandatory retirement age established by the board.



Independent Board Members

Name, address, age                 Position held       Principal occupation during past five     Other directorships
                                   with Fund and       years
                                   length of service
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
                                                                                        
Arne H. Carlson                    Board member        Chair, Board Services Corporation
901 S. Marquette Ave.              since 1999          (provides administrative services to
Minneapolis, MN 55402                                  boards). Former Governor  of Minnesota
Age 69
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Philip J. Carroll, Jr.             Board member        Retired Chairman and CEO,  Fluor          Scottish Power PLC, Vulcan
901 S. Marquette Ave.              since 2002          Corporation (engineering and              Materials Company, Inc.
Minneapolis, MN 55402                                  construction) since 1998                  (construction
Age 66                                                                                           materials/chemicals)
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Livio D. DeSimone                  Board member        Retired Chair of the Board and  Chief     Cargill, Incorporated
30 Seventh Street East             since 2001          Executive Officer, Minnesota Mining and   (commodity merchants and
Suite 3050                                             Manufacturing (3M)                        processors), General Mills,
St. Paul, MN 55101-4901                                                                          Inc. (consumer foods),
Age 70                                                                                           Vulcan Materials Company
                                                                                                 (construction materials/
                                                                                                 chemicals), Milliken &
                                                                                                 Company (textiles and
                                                                                                 chemicals), and Nexia
                                                                                                 Biotechnologies, Inc.
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Anne P. Jones                      Board member        Attorney and Consultant
901 S. Marquette Ave.              since 1985
Minneapolis, MN 55402
Age 69
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------
Stephen R. Lewis, Jr.*             Board member        Retired President and Professor of        Valmont Industries, Inc.
901 S. Marquette Ave.              since 2002          Economics, Carleton College               (manufactures irrigation
Minneapolis, MN 55402                                                                            systems)
Age 65
- ---------------------------------- ------------------- ----------------------------------------- -----------------------------


*    Interested person of AXP Partners  International  Aggressive Growth Fund by
     reason of being a security  holder of  FleetBoston  Financial  Corporation,
     parent company of Columbia Wanger Asset Management, L.P., one of the fund's
     subadvisers.

- --------------------------------------------------------------------------------
33   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT




Independent Board Members (continued)

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
                                                                                        
Alan K. Simpson                   Board member         Former three-term United States Senator
1201 Sunshine Ave.                since 1997           for Wyoming
Cody, WY 82414
Age 72
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Alison Taunton-Rigby              Board member since   Founder and Chief Executive Officer,
901 S. Marquette Ave.             2002                 RiboNovix, Inc. since 2004; President,
Minneapolis, MN 55402                                  Forester Biotech since 2000; prior to
Age 60                                                 that, President and CEO, Aquila
                                                       Biopharmaceuticals, Inc.
- --------------------------------- -------------------- ----------------------------------------- -----------------------------

Board Member Affiliated with AEFC**

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
William F. Truscott               Board member         Senior Vice President - Chief
53600 AXP Financial Center        since 2001,  Vice    Investment Officer of AEFC since 2001.
Minneapolis, MN 55474             President  since     Former Chief Investment Officer and
Age 43                            2002                 Managing Director, Zurich Scudder
                                                       Investments
- --------------------------------- -------------------- ----------------------------------------- -----------------------------


** Interested person by reason of being an officer, director and/or employee of
   AEFC.

- --------------------------------------------------------------------------------
34   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


The board has appointed officers who are responsible for day-to-day business
decisions based on policies it has established. The officers serve at the
pleasure of the board. In addition to Mr. Truscott, who is vice president, the
Fund's other officers are:



Other Officers

Name, address, age                Position held        Principal occupation during past five     Other directorships
                                  with Fund and        years
                                  length of service
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
                                                                                        
Jeffrey P. Fox                    Treasurer since      Vice President - Investment Accounting,
50005 AXP Financial Center        2002                 AEFC, since 2002;  Vice President -
Minneapolis, MN 55474                                  Finance, American Express Company,
Age 49                                                 2000-2002;  Vice President - Corporate
                                                       Controller, AEFC, 1996-2000
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Paula R. Meyer                    President since      Senior Vice President and General
596 AXP Financial Center          2002                 Manager - Mutual Funds, AEFC, since
Minneapolis, MN 55474                                  2002; Vice President and Managing
Age 50                                                 Director - American Express Funds,
                                                       AEFC, 2000-2002; Vice President, AEFC,
                                                       1998-2000
- --------------------------------- -------------------- ----------------------------------------- -----------------------------
Leslie L. Ogg                     Vice President,      President of Board Services Corporation
901 S. Marquette Ave.             General Counsel,
Minneapolis, MN 55402             and Secretary
Age 65                            since 1978
- --------------------------------- -------------------- ----------------------------------------- -----------------------------


The SAI has additional information about the Fund's directors and is available,
without charge, upon request by calling (800) 862-7919.

Proxy Voting

The policy of the Board is to vote all proxies of the companies in which the
Fund holds investments. The procedures are stated in the Statement of Additional
Information (SAI). You may obtain a copy of the SAI without charge by calling
(800) 862-7919; by looking at the Web site americanexpress.com/funds; or by
searching the Web site of the Securities and Exchange Commission
http://www.sec.gov. You may view the Fund's voting record for all portfolio
companies whose shareholders meetings were completed the previous quarter on
americanexpress.com/funds or obtain a copy by calling the Fund's administrator,
Board Services Corporation, collect at (612) 330-9283. In addition, after August
2004, information regarding how the Fund voted proxies relating to portfolio
securities during the most recent 12-month period ended June 30 will be
available at http://www.sec.gov.

- --------------------------------------------------------------------------------
35   --   AXP U.S. GOVERNMENT MORTGAGE FUND   --   2004 ANNUAL REPORT


(logo)
AMERICAN
 EXPRESS
(R)

American Express Funds
70100 AXP Financial Center
Minneapolis, MN 55474

This report must be accompanied or preceded by the Fund's current prospectus.
Distributed by American Express Financial Advisors Inc. Member NASD.  American
Express Company is separate from American Express  Financial Advisors Inc. and
is not a broker-dealer.


Item 2.  (a) The Registrant has adopted a code of ethics that applies to the
         Registrant's  principal executive officer and principal financial
         officer. A copy of the code of ethics is filed as an exhibit to this
         form N-CSR.

         (b) During the period covered by this report, there were not any
         amendments to the provisions of the code of ethics adopted in 2(a)
         above.

         (c) During the period covered by this report, there were not any
         implicit or explicit waivers to the provisions of the code of ethics
         adopted in 2(a).

Item 3.  The Registrant's board of directors has determined that independent
         directors Livio D. DeSimone, Anne P. Jones, and Alan G. Quasha, each
         qualify as audit committee financial experts.

Item 4.  Principal Accountant Fees and Services

Fund - Related Fees

(a)      Audit Fees. The fees paid for the years ended May 31, to KPMG LLP for
         professional services rendered for the audits of the annual financial
         statements for AXP Government Income Series, Inc. were as follows:

                  2003 - $28,773;                             2002 - $30,588

(b)      Audit - Related Fees. The fees paid for the years ended May 31, to KPMG
         LLP for additional professional services rendered in connection with
         the registrant's security count pursuant to Rule 17f-2 for AXP
         Government Income Series, Inc. were as follows:

                  2003 - $579;                                2002 - $771

(c)      Tax Fees. The fees paid for the years ended May 31, to KPMG LLP for tax
         compliance related services for AXP Government Income Series, Inc. were
         as follows:

                  2003 - $5,450;                              2002 - $5,150

(d)      All Other Fees. The fees paid for the years ended May 31, to KPMG LLP
         for additional professional services rendered in connection to proxy
         filing for AXP Government Income Series, Inc. were as follows:

                  2003 - None;                                2002 - $45

(e)      (1) Audit Committee Pre-Approval Policy. Pursuant to Sarbanes-Oxley
         pre-approval requirements, all services to be performed by KPMG LLP for
         the registrant and to the registrant's investment adviser and any
         entity controlling, controlled by, or under common control with the
         investment adviser that provides ongoing services to the registrant
         must be pre-approved by the audit committee.

(e)      (2) 100% of the services performed for items (b) through (d) above
         during 2003 and 2002 were pre-approved by the audit committee with
         the exception of the 2002 tax fees.

(f)      Not applicable.

(g)      Non-Audit Fees. The fees paid for the years ended May 31, by the
         registrant for non-audit services to KPMG LLP were as follows:

                  2003 - None;                                2002 - None

         The fees paid for the years ended May 31, to KPMG LLP by the
         registrant's investment adviser, and any entity controlling, controlled
         by, or under common control with the adviser that provides ongoing
         services to the registrant were as follows:

                  2003 - $71,000;                             2002 - $164,000

(h)      For the fees disclosed in item (g) above, 100% and 97% of the fees for
         services performed during 2003 and 2002, respectively, were
         pre-approved by the audit committee. The exception was a 2002 tax
         research request by the adviser on defaulted securities for $5,000. The
         amounts not pre-approved are compatible with maintaining KPMG LLP's
         independence.


Item 5.    Audit Committee of Listed Registrants. Not applicable.

Item 6.    [Reserved]

Item 7.    Disclosure of Proxy Voting Policies and Procedures for Closed-End
           Management Investment Companies. Not applicable.

Item 8.    Purchase of Equity Securities by Closed-End Management Investment
           Company and Affiliated Purchasers. Not applicable.

Item 9.    Submission of matters to a vote of security holders. Not applicable.

Item 10.   Controls and Procedures.

           (a) The registrant's Principal Executive Officer and Principal
           Financial Officer have evaluated the registrant's disclosure
           controls and procedures within 90 days of this filing and have
           concluded that the registrant's disclosure controls and
           procedures by the registrant in this Form N-CSR was recorded,
           processed, summarized, and reported timely.

           (b) At the date of filing this Form N-CSR, the registrant's
           Principal Executive Officer and Principal Financial Officer are
           aware of no  significant  changes  in the  registrant's  internal
           controls  or in other  factors  that could  significantly  affect
           these  controls  subsequent  to the  date  of  their  evaluation,
           including  any  corrective  actions  with  regard to  significant
           deficiencies and material weaknesses.

Item 11.   Exhibits.

           (a)(1) Code of ethics as applies to the Registrant's principal
           executive officer and principal financial officer, as required to be
           disclosed under Item 2 of Form N-CSR, is attached as Ex. 99.CODE ETH.

           (a)(2) Separate  certification  for the  Registrant's  principal
           executive officer and principal financial officer, as required by
           Section 302 of the  Sarbanes-Oxley  Act of 2002 and Rule 30a-2(a)
           under  the  Investment  Company  Act of  1940,  are  attached  as
           EX.99.CERT.

           (a)(3) Not applicable.

           (b) A certification by the Registrant's  principal executive officer
           and principal financial officer, pursuant to Section 906 of the
           Sarbanes-Oxley Act of 2002 and Rule 30a-2(b) under the Investment
           Company Act of 1940, is attached as EX.99.906 CERT.



                                   SIGNATURES

     Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)                  AXP Government Income Series, Inc.




By                        /s/ Paula R. Meyer
                          ------------------
                              Paula R. Meyer
                              President and Principal Executive Officer

Date                          August 3, 2004


     Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment  Company  Act of  1940,  this  report  has been  signed  below by the
following  persons on behalf of the  registrant and in the capacities and on the
dates indicated.



By                        /s/ Paula R. Meyer
                          ------------------
                              Paula R. Meyer
                              President and Principal Executive Officer

Date                          August 3, 2004



By                        /s/ Jeffrey P. Fox
                          ------------------
                              Jeffrey P. Fox
                              Treasurer and Principal Financial Officer

Date                          August 3, 2004