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

                                   FORM N-CSR

             AMENDMENT TO CERTIFIED SHAREHOLDER REPORT OF REGISTERED
                         MANAGEMENT INVESTMENT COMPANIES



Investment Company Act file number  811-1629
                                   ------------


                           AXP DIMENSIONS 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:     7/31
                         --------------
Date of reporting period:    7/31
                         --------------


AXP(R)
    Growth
      Dimensions
            Fund

                                                                   Annual Report
                                                            for the Period Ended
                                                                   July 31, 2003

AXP Growth Dimensions Fund seeks to provide shareholders with long-term capital
growth.

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(logo)                                                                  (logo)
American                                                                AMERICAN
   Express(R)                                                            EXPRESS
 Funds                                                                  (R)
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Table of Contents

Fund Snapshot                               3

Questions & Answers
    with Portfolio Management               4

The Fund's Long-term Performance            8

Investments in Securities                   9

Financial Statements                       12

Notes to Financial Statements              15

Independent Auditors' Report               26

Board Members and Officers                 27

(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 GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Fund Snapshot
          AS OF JULY 31, 2003

PORTFOLIO MANAGER

Portfolio manager              Gordon Fines
Since                                  6/00
Years in industry                        36

FUND OBJECTIVE

For investors seeking long-term capital growth.

Inception dates
A: 6/26/00      B: 6/26/00      C: 6/26/00      Y: 6/26/00

Ticker symbols
A: AXDAX        B: ABGDX        C: AXGDX        Y: --

Total net assets             $202.6 million

Number of holdings                       85

STYLE MATRIX

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

         STYLE
VALUE    BLEND    GROWTH
                    X      LARGE
                           MEDIUM   SIZE
                           SMALL

SECTOR COMPOSITION
Percentage of portfolio assets

(pie chart)

Consumer discretionary 24.2%
Technology 17.0%
Health care 16.4%
Financials 14.6%
Industrials 11.9%
Energy 7.2%
Consumer staples 4.3%
Utilities 2.8%
Short-term securities 0.6%
Materials 0.5%
Telecommunications 0.5%

TOP TEN HOLDINGS

Percentage of portfolio assets

Bank of America (Banks and savings & loans)          4.1%
Microsoft (Computer software & services)             3.9
Wal-Mart Stores (Retail -- general)                  3.6
Amgen (Health care products)                         3.5
Citigroup (Finance companies)                        3.3
Viacom Cl B (Leisure time & entertainment)           3.3
3M (Multi-industry)                                  3.0
Anthem (Health care services)                        2.6
ConocoPhillips (Energy)                              2.6
Medtronic (Health care products)                     2.6

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

Stock prices of established companies that pay dividends may be less volatile
than the stock market as a whole. Stocks of medium-sized companies may be
subject to more abrupt or erratic price movements than stocks of larger
companies.

Fund holdings are subject to change.

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3   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers
        WITH PORTFOLIO MANAGEMENT

Q:   How did AXP Growth Dimensions Fund perform for fiscal year 2003?

A:   AXP Growth Dimensions Fund's Class A shares, excluding sales charge, gained
     7.88% for the 12 months ended July 31, 2003. The Fund underperformed the
     8.97% return of the Lipper Large-Cap Growth Funds Index, representing the
     Fund's peer group. The S&P 500 Index increased 10.64% over the same time
     frame.

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

A:   The portfolio's conservative stance, including an emphasis on consumer
     cyclical companies and other sectors, helped performance during most of
     the annual period. However, when the equity market rose sharply in the
     autumn and again in the second calendar quarter, the Fund's relatively
     conservative stocks did not rally as much as more aggressive, less
     well-capitalized companies. The Fund was also underweighted in the
     strong performing information technology sector relative to the S&P 500
     Index. Thus, while producing positive returns, the Fund underperformed
     its peer group and its benchmark index for the fiscal year.

     Among the Fund's specific stock disappointments were Microsoft and Viacom.
     Microsoft was a top performer during the first half of the fiscal year, but
     experienced a slowdown in growth during the second half along with much of
     the personal computer industry. Entertainment company Viacom lost ground
     primarily due to a slowdown in advertising spending. However, we continued
     to hold both of these companies in the Fund's portfolio, as each is clearly
     a leader in its respective industry, and we are optimistic about their
     prospects going forward. Northrop Grumman in the defense industry was

                             PERFORMANCE COMPARISON
                       For the period ended July 31, 2003
12%                                 (bar 2)
                                     +10.64%
10%                                                         (bar 3)
                                                             +8.97%
 8%      (bar 1)
         +7.88%
 6%

 4%

 2%

 0%

(bar 1) AXP Growth Dimensions Fund Class A (excluding sales charge)
(bar 2) S&P 500 Index (unmanaged)
(bar 3) Lipper Large-Cap Growth Funds Index

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

Past performance is no guarantee of future results. The 5.75% 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 GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

(begin callout qoute)> The Fund has a low turnover rate compared to many of
its peers, as we are focused on finding growth-oriented companies to buy and
hold for the long term. (end callout qoute)

     another disappointment, as the high level of government spending
     anticipated by many was not fully realized. We reduced the Fund's holding
     in this stock.

     We did have some success, however. Fund performance was boosted by
     effective stock selection. For example, WalMart, Citigroup and Bank of
     America were strong performers for the year overall. Johnson & Johnson and
     3M held up well during the first half; Amgen and Target were among the
     Fund's best performers during the second half. JetBlue Airways; pasta maker
     American Italian Pasta; auto insurance company Progressive, Brinker
     International (parent of Chili's restaurants), and some smaller healthcare
     firms like GenProbe offered compelling growth stories and benefited the
     Fund's yearly results.



AVERAGE ANNUAL TOTAL RETURNS

as of July 31, 2003
                          Class A              Class B                   Class C                 Class Y
(Inception dates)        (6/26/00)            (6/26/00)                 (6/26/00)               (6/26/00)
                     NAV(1)   POP(2)     NAV(1)   After CDSC(3)   NAV(1)    After CDSC(4)   NAV(5)     POP(5)
                                                                               
1 year                +7.88%   +1.67%     +7.00%      +3.00%       +7.00%       +7.00%       +8.37%     +8.37%
Since inception      -23.00%  -24.46%    -23.58%     -24.33%      -23.58%      -23.58%      -22.89%    -22.89%


(1)  Excluding sales charge.

(2)  Returns at public offering price (POP) reflect a sales charge of 5.75%.

(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.

Past performance is no guarantee of future results. Investment return and
principal value will fluctuate, so that your shares, when redeemed, may be worth
more or less than the original cost. The performance shown for each class of
shares will vary due to differences in sales charges and fees. Short term
performance may be higher or lower than the figures shown. Visit
americanexpress.com/funds for current information.

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5   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

     The equity market was exceptionally volatile during fiscal year 2003. In
     the summer of 2002, stock markets reached four-year lows, depressing stocks
     of every style and capitalization, including large-cap and mid-cap growth
     stocks. October and November marked a vigorous market rally, led by the
     most beaten-up sectors of the past three years, including
     telecommunications and technology. After starting the new year on a
     positive note, the equity market then began a sustained decline, as fears
     surrounding the likely war with Iraq heightened and economic activity
     subsequently slowed. By the beginning of March, a "war relief" rally took
     place, as investors grew optimistic that the war would not last very long.

     The second calendar quarter marked the largest single quarterly gain for
     the S&P 500 Index in nearly five years. A significant number of corporate
     earnings announcements met or exceeded expectations, and earnings estimates
     were revised up going forward. Furthermore, the low interest rate
     environment and declining yields on bond investments drew more attention to
     equities, as investors sought higher returns. The case for owning equities
     was additionally strengthened by a $350 billion U.S. tax cut, an
     accommodative Federal Reserve Board and a declining dollar that benefited
     U.S. companies distributing products and services overseas. Finally, while
     the transition to democracy in Iraq is by no means at an end, the
     conclusion of active military operations provided the equity markets with a
     degree of geopolitical stability not seen for some time. July was a
     relatively neutral month for the marketplace, with the S&P 500 Index rising
     a modest 1.76%.

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

A:   AXP Growth Dimensions Fund has a low turnover rate compared to many of
     its peers, as we are focused on finding growth-oriented companies to
     buy and hold for the long term. Indeed, for most of the fiscal year,
     the bulk of the Fund's assets remained relatively constant. Still, we
     did make some opportunistic changes. Besides adding some healthy
     mid-cap stocks with high growth potential to the Fund, we increased our
     positions in the energy sector in anticipation of improving stock
     prices. We reduced the Fund's technology weighting, as we believed that
     this sector had yet to overcome the twin hurdles of low demand and
     overcapacity. The technology stocks that the Fund continued to hold
     were software-related rather than service-driven. Within the healthcare
     sector, we shifted away from hospitals and distribution companies

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6   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

     toward a focus on biotechnology and medical device companies. For example,
     we eliminated the Fund's position in HCA, the nation's largest hospital
     chain, and bought Amgen, a leading biotechnology company in the fight
     against cancer. We also added Genzyme, Boston Scientific, St. Jude Medical
     and Alcon to the portfolio. Genzyme is a biotechnology company focused on
     rare genetic disorders, renal disease and osteoarthritis. The latter three
     are each medical device manufacturers.

     In June, we repositioned the Fund a bit, shifting the portfolio's stance to
     take advantage of the less risk-averse market environment. We reduced the
     Fund's weighting in the more defensive consumer staples sector, by cutting
     back on such positions as Procter & Gamble. We then redeployed those assets
     into industrial-related and business services companies that we believe may
     benefit from the eventual upturn in the economy. One such addition to the
     portfolio was Caterpillar, the manufacturer of construction, agricultural,
     mining and forestry machinery.

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

A:   We are optimistic about the direction of the equity market going forward. A
     great deal of fiscal and monetary stimulus is currently in the pipeline,
     including tax cuts and dividend and capital gains tax reform. Such stimulus
     should help boost economic growth in the months ahead. What is missing so
     far is job growth, which is key to improving consumer confidence and
     consumer spending. Also, capital spending remains flat.

     Our focus will remain on seeking long-term growth of capital. We will
     continue to broadly diversify the Fund's holdings, looking for
     opportunities that display good fundamentals and a better-than-average
     potential for growth. We are particularly looking at opportunities in the
     casual dining segment of the restaurant industry, as we believe current
     supply/demand dynamics put this area in an early cycle of momentum.

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7   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


The Fund's Long-term Performance

This chart illustrates the total value of an assumed $10,000 investment in AXP
Growth Dimensions Fund Class A shares (from 7/1/00 to 7/31/03) as compared to
the performance of two widely cited performance indices, the Standard & Poor's
500 Index (S&P 500 Index) and the Lipper Large-Cap Growth 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 5.75%, 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.

Past performance is no guarantee of future results. Your investment and return
values fluctuate so that your shares, when redeemed, may be worth more or less
than the original cost. Returns do not reflect taxes payable on distributions
and redemptions. Also see "Past Performance" in the Fund's current prospectus.



(line chart)
                   VALUE OF A HYPOTHETICAL $10,000 INVESTMENT
                          IN AXP GROWTH DIMENSIONS FUND

                                                                   
AXP Growth Dimensions Fund Class A      $ 9,425     $9,329    $5,268    $3,889    $4,195
S&P 500 Index(1)                        $10,000     $9,844    $8,433    $6,440    $7,125
Lipper Large-Cap Growth Funds Index(2)  $10,000     $9,797    $6,427    $4,629    $5,044

                                        7/01/00      7/00      7/01      7/02       7/03


(1)  S&P 500 Index, an unmanaged index of common stocks, is frequently used as a
     general measure of market performance. The index reflects reinvestment of
     all distributions and changes in market prices, but excludes brokerage
     commissions or other fees. However, the S&P 500 companies may be generally
     larger than those in which the Fund invests.

(2)  The Lipper Large-Cap Growth 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 or
     objectives.

                          Average Annual Total Returns
                 Class A with Sales Charge as of July 31, 2003

1 year                                                                +1.67%
Since inception (6/26/00)                                            -24.46%

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

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8   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Investments in Securities

AXP Growth Dimensions Fund

July 31, 2003
(Percentages represent value of investments compared to net assets)

Common stocks (98.4%)
Issuer                                   Shares                    Value(a)

Aerospace & defense (0.3%)
Northrop Grumman                           5,600                   $516,544

Airlines (2.1%)
JetBlue Airways                           31,900(b)               1,453,364
Ryanair Holdings ADR                      12,000(b,c)               514,680
Southwest Airlines                       140,000                  2,297,400
Total                                                             4,265,444

Banks and savings & loans (6.3%)
Bank of America                          100,000                  8,257,000
Wells Fargo                               90,000                  4,547,700
Total                                                            12,804,700

Beverages & tobacco (3.6%)
Altria Group                             100,000                  4,001,000
PepsiCo                                   70,000                  3,224,900
Total                                                             7,225,900

Broker dealers (0.5%)
Lehman Brothers Holdings                  17,400                  1,100,898

Cellular telecommunications (0.5%)
Vodafone Group ADR                        50,600(c)                 960,388

Chemicals (0.5%)
Engelhard                                 42,000                  1,103,760

Computer hardware (2.5%)
Dell                                     120,000(b)               4,041,600
Hewlett-Packard                           46,100                    975,937
Total                                                             5,017,537

Computer software & services (9.5%)
Autodesk                                  65,000                    972,400
Electronic Arts                            6,500(b)                 546,000
Intl Business Machines                    36,200                  2,941,250
Microsoft                                300,000                  7,920,000
Oracle                                   120,000(b)               1,440,000
Paychex                                   25,000                    813,250
Symantec                                  45,000(b)               2,104,650
Synopsys                                   8,000(b)                 500,080
VERITAS Software                          66,000(b)               2,032,800
Total                                                            19,270,430

Electronics (4.8%)
Applied Materials                        100,000(b)               1,950,000
Intel                                    150,000                  3,742,500
Maxim Integrated Products                 30,000                  1,172,400
Teradyne                                  60,000(b)                 987,000
Texas Instruments                        100,000                  1,887,000
Total                                                             9,738,900

Energy (5.3%)
Burlington Resources                      10,000                    461,700
ConocoPhillips                           100,000                  5,234,000
Devon Energy                              62,100                  2,941,677
EnCana                                    60,000(c)               2,072,400
Total                                                            10,709,777

Energy equipment & services (1.8%)
Nabors Inds                               13,400(b,c)               479,720
Schlumberger                              50,000                  2,253,500
Weatherford Intl                          25,000(b)                 906,750
Total                                                             3,639,970

Finance companies (3.3%)
Citigroup                                150,000                  6,720,000

Financial services (0.6%)
SLM                                       30,000                  1,243,800

Food (0.7%)
American Italian Pasta Cl A               34,300(b)               1,375,087

Health care products (13.7%)
Alcon                                     25,000(c)               1,274,250
Amgen                                    100,000(b)               6,958,000
Barr Laboratories                          8,000(b)                 540,400
Boston Scientific                         32,300(b)               2,042,329
Gen-Probe                                 22,000(b)               1,210,000
Genzyme-General Division                  24,000(b)               1,210,560
Johnson & Johnson                         60,000                  3,107,400
Medtronic                                100,000                  5,150,000
Pfizer                                   150,000                  5,004,000
St. Jude Medical                          21,400(b)               1,148,110
Total                                                            27,645,049

See accompanying notes to investments in securities.

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9   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Common stocks (continued)
Issuer                                   Shares                    Value(a)

Health care services (2.6%)
Anthem                                    70,000(b)              $5,285,700

Industrial transportation (0.5%)
GATX                                      45,000                    986,400

Insurance (3.7%)
American Intl Group                       17,300                  1,110,660
Axis Capital Holdings                     80,000(b,c)             2,094,400
Marsh & McLennan                          20,000                    992,400
Progressive                               50,000                  3,297,000
Total                                                             7,494,460

Leisure time & entertainment (4.8%)
Carnival                                  61,000                  2,092,910
Harley-Davidson                           25,000                  1,172,000
Viacom Cl B                              150,000(b)               6,528,000
Total                                                             9,792,910

Lodging & gaming (1.0%)
Intl Game Technology                      80,800                  2,056,360

Machinery (2.0%)
Caterpillar                               60,000                  4,048,200

Media (7.5%)
Amazon.com                                60,000(b)               2,503,200
Cendant                                  125,000(b)               2,243,750
Citadel Broadcasting                      12,500(b)                 237,500
eBay                                      20,000(b)               2,144,000
Gannett                                   14,000                  1,075,620
InterActiveCorp                          108,700(b)               4,399,089
Liberty Media Cl A                        45,000(b)                 499,050
Scripps (EW) Cl A                         12,200                  1,012,112
Univision Communications Cl A             35,100(b)               1,095,120
Total                                                            15,209,441

Multi-industry (6.9%)
3M                                        43,100                  6,042,620
Danaher                                   15,500                  1,119,100
General Electric                         160,000                  4,550,400
Harman Intl Inds                          14,500                  1,212,200
Tyco Intl                                 60,000(c)               1,116,000
Total                                                            14,040,320

Restaurants (2.6%)
Brinker Intl                              57,700(b)               2,019,500
McDonald's                                54,700                  1,258,647
Outback Steakhouse                        26,000                    971,100
Starbucks                                 40,000(b)               1,093,200
Total                                                             5,342,447

Retail -- general (8.0%)
Best Buy                                  45,000(b)               1,964,250
Home Depot                                50,000                  1,560,000
Target                                   130,000                  4,981,600
Wal-Mart Stores                          130,000                  7,268,300
Williams-Sonoma                           12,700(b)                 358,775
Total                                                            16,132,925

Utilities -- electric (2.8%)
Dominion Resources                        60,000                  3,606,000
Public Service Enterprise Group           50,000                  2,037,500
Total                                                             5,643,500

Total common stocks
(Cost: $194,691,832)                                           $199,370,847

Short-term securities (0.6%)
Issuer              Annualized           Amount                    Value(a)
                   yield on date       payable at
                    of purchase         maturity

U.S. government agencies
Federal Natl Mtge Assn Disc Nts
       08-15-03        0.98%            $800,000                   $799,673
       08-27-03        0.90              500,000                    499,672

Total short-term securities
(Cost: $1,299,370)                                               $1,299,345

Total investments in securities
(Cost: $195,991,202)(d)                                        $200,670,192

See accompanying notes to investments in securities.

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10   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Notes to investments in securities

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

(b)  Non-income producing.

(c)  Foreign security values are stated in U.S. dollars. As of July 31, 2003,
     the value of foreign securities represented 4.2% of net assets.

(d)  At July 31, 2003, the cost of securities for federal income tax purposes
     was $199,018,842 and the aggregate gross unrealized appreciation and
     depreciation based on that cost was:

     Unrealized appreciation                                   $ 15,868,129
     Unrealized depreciation                                    (14,216,779)
                                                                -----------
     Net unrealized appreciation                               $  1,651,350
                                                               ------------

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11   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Financial Statements



Statement of assets and liabilities
AXP Growth Dimensions Fund

July 31, 2003
Assets
Investments in securities, at value (Note 1)
                                                                                                
   (identified cost $195,991,202)                                                                     $ 200,670,192
Cash in bank on demand deposit                                                                               40,300
Capital shares receivable                                                                                     2,538
Dividends and accrued interest receivable                                                                   141,110
Receivable for investment securities sold                                                                 2,569,278
                                                                                                          ---------
Total assets                                                                                            203,423,418
                                                                                                        -----------
Liabilities
Capital shares payable                                                                                       15,907
Payable for investment securities purchased                                                                 695,100
Accrued investment management services fee                                                                    2,847
Accrued distribution fee                                                                                      2,745
Accrued transfer agency fee                                                                                   1,703
Accrued administrative services fee                                                                             177
Other accrued expenses                                                                                       55,064
                                                                                                             ------
Total liabilities                                                                                           773,543
                                                                                                            -------
Net assets applicable to outstanding capital stock                                                    $ 202,649,875
                                                                                                      =============
Represented by
Capital stock -- $.01 par value (Note 1)                                                              $     931,568
Additional paid-in capital                                                                              449,249,821
Accumulated net realized gain (loss) (Note 6)                                                          (252,210,504)
Unrealized appreciation (depreciation) on investments                                                     4,678,990
                                                                                                          ---------
Total -- representing net assets applicable to outstanding capital stock                              $ 202,649,875
                                                                                                      =============
Net assets applicable to outstanding shares:               Class A                                    $ 135,984,753
                                                           Class B                                    $  62,297,656
                                                           Class C                                    $   4,340,427
                                                           Class Y                                    $      27,039
Net asset value per share of outstanding capital stock:    Class A shares      62,022,743             $        2.19
                                                           Class B shares      29,094,696             $        2.14
                                                           Class C shares       2,027,041             $        2.14
                                                           Class Y shares          12,296             $        2.20
                                                                                   ------             -------------


See accompanying notes to financial statements.

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12   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statement of operations
AXP Growth Dimensions Fund

Year ended July 31, 2003
Investment income
Income:
                                                                           
Dividends                                                                     $  2,473,571
Interest                                                                           158,293
Fee income from securities lending (Note 3)                                          3,808
   Less foreign taxes withheld                                                     (10,739)
                                                                                   -------
Total income                                                                     2,624,933
                                                                                 ---------
Expenses (Note 2):
Investment management services fee                                               1,061,017
Distribution fee
   Class A                                                                         328,802
   Class B                                                                         623,677
   Class C                                                                          40,386
Transfer agency fee                                                                653,697
Incremental transfer agency fee
   Class A                                                                          46,616
   Class B                                                                          40,560
   Class C                                                                           3,240
Service fee -- Class Y                                                                  30
Administrative services fees and expenses                                           67,761
Compensation of board members                                                        8,383
Custodian fees                                                                      20,700
Printing and postage                                                               100,532
Registration fees                                                                   24,406
Audit fees                                                                          18,000
Other                                                                               12,455
                                                                                    ------
Total expenses                                                                   3,050,262
   Expenses waived/reimbursed by AEFC (Note 2)                                    (269,194)
                                                                                  --------
                                                                                 2,781,068
   Earnings credits on cash balances (Note 2)                                       (3,754)
                                                                                    ------
Total net expenses                                                               2,777,314
                                                                                 ---------
Investment income (loss) -- net                                                   (152,381)
                                                                                  --------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
   Security transactions (Note 3)                                              (32,419,276)
   Options contracts written (Note 5)                                               11,000
                                                                                    ------
Net realized gain (loss) on investments                                        (32,408,276)
Net change in unrealized appreciation (depreciation) on investments             46,531,710
                                                                                ----------
Net gain (loss) on investments                                                  14,123,434
                                                                                ----------
Net increase (decrease) in net assets resulting from operations               $ 13,971,053
                                                                              ============


See accompanying notes to financial statements.

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13   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statements of changes in net assets
AXP Growth Dimensions Fund

Year ended July 31,                                                              2003                      2002
Operations
                                                                                                
Investment income (loss) -- net                                             $   (152,381)             $  (1,333,138)
Net realized gain (loss) on investments                                      (32,408,276)              (115,630,156)
Net change in unrealized appreciation (depreciation) on investments           46,531,710                 30,045,770
                                                                              ----------                 ----------
Net increase (decrease) in net assets resulting from operations               13,971,053                (86,917,524)
                                                                              ----------                -----------
Capital share transactions (Note 4)
Proceeds from sales
   Class A shares (Note 2)                                                    31,462,802                 60,095,890
   Class B shares                                                             11,102,284                 29,255,612
   Class C shares                                                                946,436                  1,991,039
   Class Y shares                                                                 52,827                         --
Payments for redemptions
   Class A shares                                                            (47,121,296)               (93,339,189)
   Class B shares (Note 2)                                                   (20,999,702)               (41,489,853)
   Class C shares (Note 2)                                                    (1,213,685)                (1,923,169)
   Class Y shares                                                                (53,609)                    (7,084)
                                                                                 -------                     ------
Increase (decrease) in net assets from capital share transactions            (25,823,943)               (45,416,754)
                                                                             -----------                -----------
Total increase (decrease) in net assets                                      (11,852,890)              (132,334,278)
Net assets at beginning of year                                              214,502,765                346,837,043
                                                                             -----------                -----------
Net assets at end of year                                                   $202,649,875              $ 214,502,765
                                                                            ============              =============


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
14   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Notes to Financial Statements

AXP Growth Dimensions Fund

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

The Fund is a series of AXP Dimensions Series, Inc. (formerly AXP New
Dimensions Fund, Inc.) and is registered under the Investment Company Act of
1940 (as amended) as a diversified, open-end management investment company.
AXP Dimensions 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 equity securities showing potential for
significant growth.

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.

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.

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.

- --------------------------------------------------------------------------------
15   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Option transactions

To produce incremental earnings, protect gains, and facilitate buying and
selling of securities for investments, the Fund may buy and write options traded
on any U.S. or foreign exchange or in the over-the-counter market where
completing the obligation depends upon the credit standing of the other party.
The Fund also may buy and sell put and call options and write covered call
options on portfolio securities as well as write cash-secured put options. 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.

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 an
option is 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 traded on any U.S. or foreign exchange. The
Fund also may buy and write put and call options on these 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.

Foreign currency translations and foreign currency contracts

Securities and other assets and liabilities denominated in foreign currencies
are translated daily into U.S. dollars. Foreign currency amounts related to the
purchase or sale of securities and income and expenses are translated at the
exchange rate on the transaction date. The effect of changes in foreign exchange
rates on realized and unrealized security gains or losses is reflected as a
component of such gains or losses. In the statement of operations, net realized
gains or losses from foreign currency transactions, if any, may arise from sales
of foreign currency, closed forward contracts, exchange gains or losses realized
between the trade date and settlement date on securities transactions, and other
translation gains or losses on dividends, interest income and foreign
withholding taxes.

- --------------------------------------------------------------------------------
16   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


The Fund may enter into forward foreign currency exchange contracts for
operational purposes and to protect against adverse exchange rate fluctuation.
The net U.S. dollar value of foreign currency underlying all contractual
commitments held by the Fund and the resulting unrealized appreciation or
depreciation are determined using foreign currency exchange rates from an
independent pricing service. The Fund is subject to the credit risk that the
other party will not complete its contract obligations.

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, the recognition of certain foreign currency gains
(losses) as ordinary income (loss) for tax purposes, 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 $152,381
resulting in a net reclassification adjustment to decrease paid-in capital by
$152,381.

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

Year ended July 31,                                    2003         2002
Class A
Distributions paid from:
      Ordinary income                                   $--         $--
      Long-term capital gain                             --          --
Class B
Distributions paid from:
      Ordinary income                                    --          --
      Long-term capital gain                             --          --
Class C
Distributions paid from:
      Ordinary income                                    --          --
      Long-term capital gain                             --          --
Class Y
Distributions paid from:
      Ordinary income                                    --          --
      Long-term capital gain                             --          --

As of July 31, 2003, the components of distributable earnings on a tax basis are
as follows:

Undistributed ordinary income                             $          --
Accumulated long-term gain (loss)                         $(249,177,951)
Unrealized appreciation (depreciation)                    $   1,646,437

- --------------------------------------------------------------------------------
17   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Dividends to shareholders

An annual dividend from net investment income, declared and paid at the end of
the calendar year, when available, is reinvested in additional shares of the
Fund at net asset value or payable in cash. Capital gains, when available, are
distributed along with the income dividend.

Other

Security transactions are accounted for on the date securities are purchased or
sold. Dividend income is recognized on the ex-dividend date and interest income,
including amortization of premium and discount using the effective interest
method, is accrued daily.

2. EXPENSES AND SALES CHARGES

The Fund has agreements with American Express Financial Corporation (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 0.60% to 0.48% annually
based on the combined net assets of the Fund and AXP New Dimensions Fund. The
fee may be adjusted upward or downward by a performance incentive adjustment
based on a comparison of the performance of Class A shares of the Fund to the
Lipper Large-Cap Growth Funds Index. Prior to Dec. 1, 2002, the maximum
adjustment was 0.12% of the Fund's average daily net assets after deducting 1%
from the performance difference. If the performance difference was less than 1%,
the adjustment was zero. On Nov. 13, 2002, shareholders approved modification of
the performance incentive adjustment calculation by adjusting the performance
difference intervals, while retaining the previous maximum adjustment and
reducing the amount of the performance difference for which no adjustment is
made to 0.50%. The effect of the modifications began Dec. 1, 2002. The
adjustment increased the fee by $39,400 for the year ended July 31, 2003.

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 0.02% annually based on
the combined net assets of the Fund and AXP New Dimensions Fund. 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.

- --------------------------------------------------------------------------------
18   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Under a separate Transfer Agency Agreement, American Express Client Service
Corporation (AECSC) maintains shareholder accounts and records. The incremental
transfer agency fee is the amount charged to the specific classes for the
additional expense above the fee for Class Y. The Fund pays AECSC an annual fee
per shareholder account for this service as follows:

o   Class A $19.50

o   Class B $20.50

o   Class C $20.00

o   Class Y $17.50

In addition, there is 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.

Under terms of a prior agreement that ended April 30, 2003, the Fund paid a
transfer agency fee at an annual rate per shareholder account of $19 for Class
A, $20 for Class B, $19.50 for Class C and $17 for Class Y.

In addition, there is 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
account is purged from the transfer agent system generally within one year.

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
$402,887 for Class A, $112,853 for Class B and $716 for Class C for the year
ended July 31, 2003.

For the year ended July 31, 2003, AEFC and American Express Financial Advisors
Inc. waived certain fees and expenses to 1.15% for Class A, 1.91% for Class B,
1.91% for Class C and 0.95% for Class Y of the Fund's average daily net assets.
Beginning Aug. 1, 2003, AEFC and American Express Financial Advisors Inc. have
agreed to waive certain fees and expenses until July 31, 2004. Under this
agreement, total expenses will not exceed 1.35% for Class A, 2.11% for Class B,
2.11% for Class C and 1.19% for Class Y of the Fund's average daily net assets.

During the year ended July 31, 2003, the Fund's custodian and transfer agency
fees were reduced by $3,754 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.

- --------------------------------------------------------------------------------
19   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


3. SECURITIES TRANSACTIONS

Cost of purchases and proceeds from sales of securities (other than short-term
obligations) aggregated $97,315,228 and $103,152,994, respectively, for the year
ended July 31, 2003. Realized gains and losses are determined on an identified
cost basis.

Brokerage clearing fees paid to brokers affiliated with AEFC were $54,276 for
the year ended July 31, 2003.

Income from securities lending amounted to $3,808 for the year ended July 31,
2003. The risks to the Fund of securities lending are that the borrower may not
provide additional collateral when required or return the securities when due.

4. CAPITAL SHARE TRANSACTIONS

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



                                                              Year ended July 31, 2003
                                              Class A          Class B       Class C        Class Y
                                                                                
Sold                                       15,693,438        5,672,236       483,044         25,567
Issued for reinvested distributions                --               --            --             --
Redeemed                                  (23,726,742)     (10,728,324)     (625,035)       (25,567)
                                          -----------      -----------      --------        -------
Net increase (decrease)                    (8,033,304)      (5,056,088)     (141,991)            --
                                          -----------      -----------      --------        -------

                                                              Year ended July 31, 2002
                                              Class A          Class B       Class C        Class Y
Sold                                       24,351,907       11,984,110       819,992             --
Issued for reinvested distributions                --               --            --             --
Redeemed                                  (38,649,187)     (17,638,451)     (809,472)        (2,813)
                                          -----------      -----------      --------         ------
Net increase (decrease)                   (14,297,280)      (5,654,341)       10,520         (2,813)
                                          -----------       ----------        ------         ------


5. OPTIONS CONTRACTS WRITTEN

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

                                              Year ended July 31, 2003
                                                         Calls
                                                Contracts     Premiums
Balance July 31, 2002                              --         $     --
Opened                                            110           11,000
Closed                                             --               --
Exercised                                          --               --
Expired                                          (110)         (11,000)
                                                 ----          -------
Balance July 31, 2003                              --         $     --
                                                 ----         --------

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20   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


6. CAPITAL LOSS CARRY-OVER

For federal income tax purposes, the Fund has a capital loss carry-over of
$249,177,951 as of July 31, 2003, that will expire in 2008 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.

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 agreement
went into effect Sept. 24, 2002. 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. Prior to this agreement, the Fund had a
revolving credit agreement that permitted borrowings up to $200 million with
U.S. Bank, N.A. The Fund had no borrowings outstanding during the year ended
July 31, 2003.

- --------------------------------------------------------------------------------
21   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


8. 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 July 31,                                             2003         2002       2001          2000(b)
                                                                                                 
Net asset value, beginning of period                                    $2.03        $2.75     $ 4.87         $4.92
Income from investment operations:
Net investment income (loss)                                               --         (.01)      (.01)           --
Net gains (losses) (both realized and unrealized)                         .16         (.71)     (2.11)         (.05)
Total from investment operations                                          .16         (.72)     (2.12)         (.05)
Net asset value, end of period                                          $2.19        $2.03     $ 2.75         $4.87

Ratios/supplemental data
Net assets, end of period (in millions)                                  $136         $142       $232           $22
Ratio of expenses to average daily net assets(c)                        1.15%(d)     1.10%      1.12%(d)      1.10%(d),(h)
Ratio of net investment income (loss) to average daily net assets        .18%        (.20%)     (.16%)         .37%(h)
Portfolio turnover rate (excluding short-term securities)                 52%          69%        67%            2%
Total return(i)                                                         7.88%      (26.18%)   (43.53%)       (1.02%)(j)


See accompanying notes to financial highlights.

- --------------------------------------------------------------------------------
22   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class B
Per share income and capital changes(a)
Fiscal period ended July 31,                                             2003         2002       2001          2000(b)
                                                                                                 
Net asset value, beginning of period                                    $2.00        $2.73     $ 4.87         $4.92
Income from investment operations:
Net investment income (loss)                                             (.01)        (.03)      (.02)           --
Net gains (losses) (both realized and unrealized)                         .15         (.70)     (2.12)         (.05)
Total from investment operations                                          .14         (.73)     (2.14)         (.05)
Net asset value, end of period                                          $2.14        $2.00     $ 2.73         $4.87

Ratios/supplemental data
Net assets, end of period (in millions)                                   $62          $68       $109           $11
Ratio of expenses to average daily net assets(c)                        1.91%(e)     1.88%      1.89%(e)      1.91%(e),(h)
Ratio of net investment income (loss) to average daily net assets       (.58%)       (.97%)     (.92%)        (.48%)(h)
Portfolio turnover rate (excluding short-term securities)                 52%          69%        67%            2%
Total return(i)                                                         7.00%      (26.74%)   (43.94%)       (1.02%)(j)


See accompanying notes to financial highlights.

- --------------------------------------------------------------------------------
23   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class C
Per share income and capital changes(a)
Fiscal period ended July 31,                                             2003         2002       2001          2000(b)
                                                                                                 
Net asset value, beginning of period                                    $2.00        $2.73     $ 4.87         $4.92
Income from investment operations:
Net investment income (loss)                                             (.01)        (.03)      (.02)           --
Net gains (losses) (both realized and unrealized)                         .15         (.70)     (2.12)         (.05)
Total from investment operations                                          .14         (.73)     (2.14)         (.05)
Net asset value, end of period                                          $2.14        $2.00     $ 2.73         $4.87

Ratios/supplemental data
Net assets, end of period (in millions)                                    $4           $4         $6            $1
Ratio of expenses to average daily net assets(c)                        1.91%(f)     1.88%      1.89%(f)      1.91%(f),(h)
Ratio of net investment income (loss) to average daily net assets       (.59%)       (.97%)     (.94%)        (.48%)(h)
Portfolio turnover rate (excluding short-term securities)                 52%          69%        67%            2%
Total return(i)                                                         7.00%      (26.74%)   (43.94%)       (1.02%)(j)


See accompanying notes to financial highlights.

- --------------------------------------------------------------------------------
24   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class Y
Per share income and capital changes(a)
Fiscal period ended July 31,                                             2003         2002       2001          2000(b)
                                                                                                  
Net asset value, beginning of period                                    $2.03        $2.76     $ 4.88         $4.92
Income from investment operations:
Net investment income (loss)                                              .01           --         --            --
Net gains (losses) (both realized and unrealized)                         .16         (.73)     (2.12)         (.04)
Total from investment operations                                          .17         (.73)     (2.12)         (.04)
Net asset value, end of period                                          $2.20        $2.03     $ 2.76         $4.88

Ratios/supplemental data
Net assets, end of period (in millions)                                   $--          $--        $--           $--
Ratio of expenses to average daily net assets(c)                         .95%(g)      .94%       .95%(g)       .81%(g),(h)
Ratio of net investment income (loss) to average daily net assets        .34%         .01%      (.03%)         .58%(h)
Portfolio turnover rate (excluding short-term securities)                 52%          69%        67%            2%
Total return(i)                                                         8.37%      (26.45%)   (43.44%)        (.81%)(j)


Notes to financial highlights

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

(b)  For the period from June 26, 2000 (when shares became  publicly  available)
     to July 31, 2000.

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

(d)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class A would have been 1.28%,  1.16% and
     2.32% for the periods ended July 31, 2003, 2001 and 2000, respectively.

(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 2.04%,  1.92% and
     3.40% for the periods ended July 31, 2003, 2001 and 2000, respectively.

(f)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class C would have been 2.04%,  1.92% and
     3.40% for the periods ended July 31, 2003, 2001 and 2000, respectively.

(g)  AEFC waived/reimbursed the Fund for certain expenses. Had AEFC not done so,
     the annual ratios of expenses for Class Y would have been 1.12%,  1.00% and
     2.12% for the periods ended July 31, 2003, 2001 and 2000, respectively.

(h)  Adjusted to an annual basis.

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

(j)  Not annualized.

- --------------------------------------------------------------------------------
25   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


Independent Auditors' Report

THE BOARD AND SHAREHOLDERS

AXP DIMENSIONS SERIES, INC.

We have audited the accompanying statement of assets and liabilities, including
the schedule of investments in securities, of AXP Growth Dimensions Fund (a
series of AXP Dimensions Series, Inc.) as of July 31, 2003, 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 July 31, 2003 and
the financial highlights for each of the years in the three-year period ended
July 31, 2003 and for the period from June 26, 2000 (when shares became publicly
available) to July 31, 2000. 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 auditing standards generally accepted
in the United States of America. 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 July 31, 2003, 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
Growth Dimensions Fund as of July 31, 2003, 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

September 12, 2003

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26   --   AXP GROWTH DIMENSIONS FUND   --   2003 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 83 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      Other directorships
                                   with Fund and      five years
                                   length of service
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
                                                                                   
Arne H. Carlson                    Board member       Chair, Board Services Corporation
901 S. Marquette Ave.              since 1999         (provides administrative services
Minneapolis, MN 55402                                 to boards). Former Governor  of
Age 68                                                Minnesota
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
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 65                                                                                      materials/chemicals)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Livio D. DeSimone                  Board member       Retired Chair of the Board and        Cargill, Incorporated
30 Seventh Street East             since 2001         Chief Executive Officer, Minnesota    (commodity merchants and
Suite 3050                                            Mining and Manufacturing (3M)         processors), General Mills,
St. Paul, MN 55101-4901                                                                     Inc. (consumer foods), Vulcan
Age 69                                                                                      Materials Company (construction
                                                                                            materials/ chemicals), Milliken
                                                                                            & Company (textiles and
                                                                                            chemicals), and Nexia
                                                                                            Biotechnologies, Inc.
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Heinz F. Hutter*                   Board member       Retired President and Chief
901 S. Marquette Ave.              since 1994         Operating Officer, Cargill,
Minneapolis, MN 55402                                 Incorporated (commodity merchants
Age 74                                                and processors)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Anne P. Jones                      Board member       Attorney and Consultant
901 S. Marquette Ave.              since 1985
Minneapolis, MN 55402
Age 68
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
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 64
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Alan G. Quasha                     Board member       President, Quadrant Management,       Compagnie Financiere Richemont
901 S. Marquette Ave.              since 2002         Inc. (management of private           AG (luxury goods), Harken
Minneapolis, MN 55402                                 equities)                             Energy Corporation (oil and gas
Age 53                                                                                      exploration) and SIRIT Inc.
                                                                                            (radio frequency identification
                                                                                            technology)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------


 *   Interested person of AXP Partners International Aggressive Growth Fund and
     AXP Partners Aggressive Growth Fund by reason of being a security holder of
     J P Morgan Chase & Co., which has a 45% interest in American Century
     Companies, Inc., the parent company of the subadviser of two of the AXP
     Partners Funds, American Century Investment Management, Inc.

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

- --------------------------------------------------------------------------------
27   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT




Independent Board Members (continued)

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
                                                                                   
Alan K. Simpson                   Board member        Former three-term United States       Biogen, Inc.
1201 Sunshine Ave.                since 1997          Senator for Wyoming                   (biopharmaceuticals)
Cody, WY 82414
Age 71
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Alison Taunton-Rigby              Board member        President, Forester Biotech since
901 S. Marquette Ave.             since 2002          2000. Former President and CEO,
Minneapolis, MN 55402                                 Aquila Biopharmaceuticals, Inc.
Age 59
- --------------------------------- ------------------- ------------------------------------- ---------------------------------

Board Members Affiliated with AEFC***

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Barbara H. Fraser                 Board member        Executive Vice President -  AEFA
1546 AXP Financial Center         since 2002          Products and Corporate Marketing of
Minneapolis, MN 55474                                 AEFC since 2002. President -
Age 53                                                Travelers Check Group, American
                                                      Express Company,  2001-2002.
                                                      Management Consultant, Reuters,
                                                      2000-2001. Managing Director -
                                                      International Investments, Citibank
                                                      Global,  1999-2000. Chairman and
                                                      CEO, Citicorp Investment Services
                                                      and Citigroup Insurance Group,
                                                      U.S., 1998-1999
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Stephen W. Roszell                Board member        Senior Vice President -
50238 AXP Financial Center        since 2002, Vice    Institutional Group of AEFC
Minneapolis, MN 55474             President  since
Age 54                            2002
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
William F. Truscott               Board member        Senior Vice President - Chief
53600 AXP Financial Center        since 2001,  Vice   Investment Officer of AEFC since
Minneapolis, MN 55474             President  since    2001. Former Chief Investment
Age 42                            2002                Officer and Managing Director,
                                                      Zurich Scudder Investments
- --------------------------------- ------------------- ------------------------------------- ---------------------------------


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

- --------------------------------------------------------------------------------
28   --   AXP GROWTH DIMENSIONS FUND   --   2003 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. Roszell, who is vice president, and
Mr. Truscott, who is vice president, the Fund's other officers are:



Other Officers

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
                                                                                   
Jeffrey P. Fox                    Treasurer since     Vice President - Investment
50005 AXP Financial Center        2002                Accounting, AEFC, since 2002;  Vice
Minneapolis, MN 55474                                 President - Finance, American
Age 48                                                Express Company, 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 49                                                Director - American Express Funds,
                                                      AEFC, 2000-2002; Vice President,
                                                      AEFC,  1998-2000
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Leslie L. Ogg                     Vice President,     President of Board Services
901 S. Marquette Ave.             General Counsel,    Corporation
Minneapolis, MN 55402             and Secretary
Age 64                            since 1978
- --------------------------------- ------------------- ------------------------------------- ---------------------------------


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

- --------------------------------------------------------------------------------
29   --   AXP GROWTH DIMENSIONS FUND   --   2003 ANNUAL REPORT


The policies and procedures that the Fund uses to determine how to vote proxies
relating to portfolio securities can be found in the Fund's Statement of
Additional Information (SAI) which is available (i) without charge, upon
request, by calling toll-free (800) 862-7919; (ii) on the American Express
Company Web site at americanexpress.com/funds; and (iii) on the Securities and
Exchange Commission Web site at http://www.sec.gov.

- --------------------------------------------------------------------------------
(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.




AXP(R)
  New
    Dimensions(R)
             Fund

                                                                   Annual Report
                                                            for the Period Ended
                                                                   July 31, 2003

AXP New Dimensions Fund seeks to provide shareholders with long-term growth 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                    8

Investments in Securities                           9

Financial Statements (Portfolio)                   12

Notes to Financial Statements (Portfolio)          15

Independent Auditors' Report (Portfolio)           19

Financial Statements (Fund)                        20

Notes to Financial Statements (Fund)               23

Independent Auditors' Report (Fund)                31

Federal Income Tax Information                     32

Board Members and Officers                         33

(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 NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Fund Snapshot

                               AS OF JULY 31, 2003

PORTFOLIO MANAGER

Portfolio manager                                 Gordon Fines
Since                                                     1/91
Years in industry                                           36

FUND OBJECTIVE

For investors seeking long-term growth of capital.

Inception dates
A: 8/1/68            B: 3/20/95       C: 6/26/00     Y: 3/20/95

Ticker symbols
A: INNDX             B: INDBX         C: ANDCX       Y: IDNYX

Total net assets                               $16.846 billion

Number of holdings                                         108

STYLE MATRIX

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

         STYLE
VALUE    BLEND    GROWTH
                    X      LARGE
                           MEDIUM   SIZE
                           SMALL

SECTOR COMPOSITION

Percentage of portfolio assets

(pie chart)

Consumer discretionary 20.1%
Technology 17.0%
Financials 15.8%
Health care 13.8%
Industrials 12.1%
Energy 6.9%
Consumer staples 4.9%
Short-term securities 3.3%
Utilities 2.1%
Telecommunications 1.0%
Other 1.5%

TOP TEN HOLDINGS

Percentage of portfolio assets

Bank of America (Banks and savings & loans)         4.0%
Wal-Mart Stores (Retail -- general)                 4.0
Microsoft (Computer software & services)            3.7
Amgen (Health care products)                        3.5
Viacom Cl B (Leisure time & entertainment)          3.4
Citigroup (Finance companies)                       3.3
3M (Multi-industry)                                 2.9
UnitedHealth Group (Health care services)           2.8
Pfizer (Health care products)                       2.5
Target (Retail -- general)                          2.4

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

Stock prices of established companies that pay dividends may be less volatile
than the stock market as a whole. There are special risk considerations
associated with international investing related to market, currency, economic,
political and other factors.

Fund holdings are subject to change.

- --------------------------------------------------------------------------------
3   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers
              WITH PORTFOLIO MANAGEMENT

Q:   How did AXP New Dimensions Fund perform for fiscal year 2003?

A:   AXP New Dimensions Fund's Class A shares (excluding sales charge) gained
     9.47% for the 12 months ended July 31, 2003, outperforming the 8.97% return
     of Lipper Large-Cap Growth Funds Index, representing the Fund's peer group.
     The S&P 500 Index increased 10.64% over the same period.

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

A:   Effective  stock  selection  helped the Fund outpace its peer group for the
     2003 fiscal year. For example, WalMart,  Citigroup and Bank of America were
     strong  performers  for the year overall.  Johnson & Johnson and 3M held up
     well  during the first  half;  Amgen and Target  were among the Fund's best
     performers  during the second half. The  portfolio's  conservative  stance,
     including  an  emphasis  on  consumer  cyclical   companies,   also  helped
     performance  during  most of the annual  period.  However,  when the equity
     market rose sharply in the autumn and again in the second calendar quarter,
     the  Fund's  relatively  conservative  stocks did not rally as much as more
     aggressive,  smaller  companies.  The Fund was  also  underweighted  in the
     strongly performing  information  technology sector relative to the S&P 500
     Index. Thus, the Fund underperformed its benchmark index.

     The equity market was exceptionally volatile during fiscal year 2003.
     During the summer, stock markets reached four-year lows, depressing stocks
     of every style and capitalization, including large-cap growth stocks.
     October and November marked a vigorous market rally, led by the most
     beaten-up sectors of the past three years, including

                             PERFORMANCE COMPARISON
                       For the period ended July 31, 2003
12%                                 (bar 2)
         (bar 1)                    +10.64%
10%      +9.47%                                             (bar 3)
                                                             +8.97%
 8%

 6%

 4%

 2%

 0%

(bar 1) AXP New Dimensions Fund Class A (excluding sales charge)
(bar 2) S&P 500 Index (unmanaged)
(bar 3) Lipper Large-Cap Growth Funds Index

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

Past performance is no guarantee of future results. The 5.75% 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 NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

(being callout quote)> We will continue to look for dividend-paying stocks of
companies that can maintain earnings growth through varying market cycles.(end
callout quote)

     telecommunications and technology. After starting the new year on a
     positive note, the equity market then began a sustained decline, as fears
     surrounding the likely war with Iraq heightened and economic activity
     subsequently slowed. By the beginning of March, the market rallied as
     investors grew optimistic about a military victory.

     The second calendar quarter marked the largest single quarterly gain for
     the S&P 500 Index in nearly five years. A significant number of corporate
     earnings announcements met or exceeded expectations, and earnings estimates
     were revised upward. Furthermore, the low interest rate environment and
     declining yields on bond investments drew more attention to equities, as
     investors sought higher returns. The case for



AVERAGE ANNUAL TOTAL RETURNS

as of July 31, 2003
                             Class A              Class B                      Class C                 Class Y
(Inception dates)           (8/1/68)             (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)
                                                                                   
1 year                  +9.47%     +3.18%    +8.63%      +4.63%         +8.59%       +8.59%       +9.64%    +9.64%
5 years                 +0.14%     -1.04%    -0.62%      -0.78%          N/A          N/A         +0.29%    +0.29%
10 years                +9.89%     +9.24%      N/A         N/A           N/A          N/A          N/A       N/A
Since inception           N/A        N/A     +9.58%      +9.58%        -12.56%      -12.56%      +10.58%   +10.58%


(1)  Excluding sales charge.

(2)  Returns at public offering price (POP) reflect a sales charge of 5.75%.

(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.

Past performance is no guarantee of future results. Investment return and
principal value will fluctuate, so that your shares, when redeemed, may be worth
more or less than the original cost. The performance shown for each class of
shares will vary due to differences in sales charges and fees. Short term
performance may be higher or lower than the figures shown. Visit
americanexpress.com/funds for current information.

- --------------------------------------------------------------------------------
5   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

     owning equities was additionally strengthened by a $350 billion U.S. tax
     cut, an accommodative Federal Reserve Board, and a declining dollar that
     benefited U.S. companies distributing products and services overseas.
     Finally, while the transition to democracy in Iraq is by no means at an
     end, the conclusion of active military operations provided the equity
     markets with a degree of geopolitical stability not seen for some time.
     July was a relatively neutral month for the marketplace, with the S&P 500
     Index rising a modest 1.76%.

     Among the Fund's specific stock disappointments were Microsoft and Viacom.
     Microsoft was a top performer during the first half of the fiscal year, but
     experienced a slowdown in growth during the second half along with much of
     the personal computer industry. Entertainment company Viacom lost ground
     primarily due to a slowdown in advertising spending. However, we continued
     to hold both of these companies in the Fund's portfolio, as each is clearly
     a leader in its respective industry, and we are optimistic about their
     prospects going forward. Lockheed Martin in the defense industry was
     another disappointment, as the high level of government spending
     anticipated by many was not fully realized. We reduced the Fund's holding
     in this stock.

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

A:   The Fund has historically had a low turnover rate compared to many of its
     large-cap growth peers, and we upheld this tradition in fiscal year 2003.
     Indeed, for most of the fiscal year, the bulk of the Fund's assets
     remained relatively constant. However, we slightly increased our
     positions in the energy sector in anticipation of improving stock prices.
     Within the healthcare sector, we shifted away from hospitals and
     distribution companies toward a focus on biotechnology and medical device
     companies. For example, we eliminated the Fund's position in HCA, the
     nation's largest hospital chain, and bought Amgen, a leading
     biotechnology company in the fight against cancer. We also added Genzyme
     and Stryker to the portfolio.

- --------------------------------------------------------------------------------
6   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Questions & Answers

     Genzyme is a biotechnology company focused on rare genetic disorders, renal
     disease and osteoarthritis. Stryker is a surgical and medical device
     manufacturer.

     In June, we repositioned the Fund a bit, shifting the portfolio's stance to
     take advantage of the less risk-averse market environment. We moderately
     increased the Fund's weighting in the technology sector, with a focus on
     software-related companies. We also reduced the Fund's weighting in the
     more defensive consumer staples sector, by cutting back on such positions
     as Procter & Gamble and eliminating Budweiser. We then redeployed those
     assets into industrial-related and business services companies that we
     believe may benefit from the eventual upturn in the economy. One such
     addition to the portfolio was Caterpillar, the manufacturer of
     construction, agricultural, mining and forestry machinery.

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

A:   We are optimistic about the equity market going forward. A great deal of
     fiscal and monetary stimulus is currently in the pipeline, including low
     interest rates, tax cuts and dividend and capital gains tax reform. Such
     stimulus should help boost economic growth in the months ahead. What is
     missing so far is job growth, which is key to improving consumer confidence
     and consumer spending. Also, capital spending remains flat, as businesses
     remain reluctant to hire or invest aggressively.

     Our focus will remain on seeking long-term growth of capital. We will
     continue to broadly diversify the Fund's holdings, looking for large-cap
     opportunities that display good fundamentals and a better-than-average
     potential for growth. We will also continue to look for dividend-paying
     stocks of companies that can maintain earnings growth through varying
     market cycles.

- --------------------------------------------------------------------------------
7   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


The Fund's Long-term Performance

This chart illustrates the total value of an assumed $10,000 investment in AXP
New Dimensions Fund Class A shares (from 8/1/93 to 7/31/03) as compared to the
performance of two widely cited performance indices, the Standard & Poor's 500
Index (S&P 500 Index) and the Lipper Large-Cap Growth 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 5.75%,
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.

Past performance is no guarantee of future results. Your investment and return
values fluctuate so that your shares, when redeemed, may be worth more or less
than the original cost. Returns do not reflect taxes payable on distributions
and redemptions. Also see "Past Performance" in the Fund's current
prospectus.



(line chart)
                   VALUE OF A HYPOTHETICAL $10,000 INVESTMENT
                           IN AXP NEW DIMENSIONS FUND

AXP New Dimensions
                                                                                          
  Fund Class A          $ 9,425   $ 9,857   $12,349   $14,390   $20,694   $24,044   $28,862   $35,546   $28,046  $22,117   $24,211
S&P 500 Index(1)        $10,000   $10,516   $13,262   $15,460   $23,521   $28,056   $33,723   $36,748   $31,482  $24,043   $26,601
Lipper Large-Cap
  Growth Funds Index(2) $10,000   $10,486   $13,507   $15,045   $22,277   $26,768   $32,906   $40,165   $26,348  $18,976   $20,678

                           '93       '94       '95       '96      '97       '98       '99       '00       '01       '02      '03


(1)  S&P 500 Index, an unmanaged index of common stocks, is frequently used as a
     general measure of market performance. The index reflects reinvestment of
     all distributions and changes in market prices, but excludes brokerage
     commissions or other fees. However, the S&P 500 companies may be generally
     larger than those in which the Fund invests.

(2)  The Lipper Large-Cap Growth 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 or
     objectives.

                          Average Annual Total Returns
                  Class A with Sales Charge as of July 31, 2003
1 year                                                                +3.18%
5 years                                                               -1.04%
10 years                                                              +9.24%

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

- --------------------------------------------------------------------------------
8   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Investments in Securities

Growth Trends Portfolio
July 31, 2003

(Percentages represent value of investments compared to net assets)

Common stocks (97.0%)
Issuer                                  Shares                     Value(a)

Aerospace & defense (0.5%)
Lockheed Martin                         100,000                   $5,234,000
United Technologies                   1,000,000                   75,230,000
Total                                                             80,464,000

Airlines (1.3%)
Southwest Airlines                   13,300,000                  218,253,000

Banks and savings & loans (5.8%)
Bank of America                       8,200,000                  677,074,000
Wells Fargo                           6,000,000                  303,180,000
Total                                                            980,254,000

Beverages & tobacco (3.9%)
Altria Group                          9,000,000                  360,090,000
Anheuser-Busch                        2,000,000                  103,640,000
PepsiCo                               4,100,000                  188,887,000
Total                                                            652,617,000

Broker dealers (0.6%)
Morgan Stanley                        2,200,000                  104,368,000

Cellular telecommunications (0.5%)
Vodafone Group ADR                    4,500,000(c)                85,410,000

Chemicals (0.6%)
Air Products & Chemicals              2,000,000                   92,960,000

Computer hardware (3.7%)
Cisco Systems                        12,000,000(b)               234,240,000
Dell                                  9,200,000(b)               309,856,000
Hewlett-Packard                       3,820,000                   80,869,400
Total                                                            624,965,400

Computer software & services (8.8%)
Electronic Arts                         200,000(b)                16,800,000
Intl Business Machines                2,990,000                  242,937,500
Microsoft                            24,000,000                  633,600,000
Oracle                                8,000,000(b)                96,000,000
Paychex                               2,000,000                   65,060,000
State Street                          4,000,000                  183,600,000
Symantec                              1,800,000(b)                84,186,000
VERITAS Software                      5,000,000(b)               154,000,000
Total                                                          1,476,183,500

Electronics (4.5%)
Analog Devices                        1,200,000(b)                45,540,000
Applied Materials                     7,500,000(b)               146,250,000
Intel                                11,000,000                  274,450,000
Maxim Integrated Products             2,600,000                  101,608,000
Texas Instruments                    10,000,000                  188,700,000
Total                                                            756,548,000

Energy (5.6%)
Burlington Resources                  1,000,000                   46,170,000
ChevronTexaco                         5,500,000                  396,605,000
ConocoPhillips                        4,000,000                  209,360,000
Exxon Mobil                           8,000,000                  284,640,000
Total                                                            936,775,000

Energy equipment & services (1.4%)
Schlumberger                          4,300,000                  193,801,000
Weatherford Intl                      1,000,000(b)                36,270,000
Total                                                            230,071,000

Finance companies (3.3%)
Citigroup                            12,500,000                  560,000,000

Financial services (3.1%)
Fannie Mae                            1,000,000                   64,040,000
MBNA                                  4,000,000                   89,160,000
SLM                                   9,000,000                  373,140,000
Total                                                            526,340,000

Health care products (11.2%)
Amgen                                 8,500,000(b)               591,430,000
Forest Laboratories                   1,800,000(b)                86,184,000
Genzyme-General Division              1,000,000(b)                50,440,000
Johnson & Johnson                     5,000,000                  258,950,000
Medtronic                             7,000,000                  360,500,000
Pfizer                               12,500,000                  417,000,000
Stryker                                 700,000                   53,564,000
Teva Pharmaceutical Inds ADR            800,000(c)                45,872,000
Total                                                          1,863,940,000

Health care services (2.8%)
UnitedHealth Group                    9,000,000                  468,810,000

See accompanying notes to investments in securities.
- --------------------------------------------------------------------------------
9   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Common stocks (continued)
Issuer                                  Shares                     Value(a)

Household products (1.0%)
Procter & Gamble                      2,000,000                 $175,740,000

Indexes (1.5%)
Nasdaq-100 Index Tracking             8,000,000(b)               254,240,000

Industrial transportation (1.2%)
Union Pacific                         2,500,000                  152,350,000
United Parcel Service Cl B              700,000                   44,156,000
Total                                                            196,506,000

Insurance (3.0%)
American Intl Group                   4,000,000                  256,800,000
Marsh & McLennan                      5,000,000                  248,100,000
Total                                                            504,900,000

Leisure time & entertainment (3.4%)
Viacom Cl B                          13,100,000(b)               570,112,000

Lodging & gaming (2.2%)
Intl Game Technology                  6,800,000                  173,060,000
Marriott Intl Cl A                    5,000,000                  205,500,000
Total                                                            378,560,000

Machinery (3.5%)
Caterpillar                           5,664,800                  382,204,056
Illinois Tool Works                   3,000,000                  208,950,000
Total                                                            591,154,056

Media (5.1%)
Cendant                               9,000,000(b)               161,550,000
eBay                                  1,800,000(b)               192,960,000
Gannett                               2,000,000                  153,660,000
InterActiveCorp                       8,700,000(b)               351,759,000
Total                                                            859,929,000

Metals (0.6%)
Nucor                                 2,000,000                   98,640,000

Multi-industry (5.7%)
3M                                    3,500,000                  490,700,000
General Electric                     14,000,000                  398,160,000
Tyco Intl                             4,000,000(c)                74,400,000
Total                                                            963,260,000

Paper & packaging (0.3%)
Intl Paper                            1,500,000                   58,680,000

Restaurants (0.8%)
McDonald's                            6,000,000                  138,060,000

Retail -- general (8.6%)
Best Buy                              2,400,000(b)               104,760,000
Costco Wholesale                      3,000,000(b)               111,150,000
Home Depot                            4,000,000                  124,800,000
Target                               10,700,000                  410,024,000
Wal-Mart Stores                      12,000,000                  670,920,000
Williams-Sonoma                       1,000,000(b)                28,250,000
Total                                                          1,449,904,000

Utilities -- electric (2.1%)
Dominion Resources                    6,000,000                  360,600,000

Utilities -- telephone (0.5%)
Verizon Communications                2,500,000                   87,150,000

Total common stocks
(Cost: $14,308,655,782)                                      $16,345,393,956

Short-term securities (3.4%)
Issuer            Coupon                     Principal             Value(a)
                   rate                       amount

U.S. government agencies (0.7%)
Federal Home Loan Bank Disc Nt
     09-26-03           1.02%            $50,000,000             $49,916,601
Federal Natl Mtge Assn Disc Nts
     08-06-03           1.16              48,100,000              48,091,693
     08-20-03           0.96              25,000,000              24,988,248
Total                                                            122,996,542

Commercial paper (2.6%)
AEGON Funding
     10-15-03           1.03              17,400,000(d)           17,361,797
Amsterdam Funding
     08-08-03           1.05              12,500,000(d)           12,497,084
Barton Capital
     08-14-03           1.03               6,600,000(d)            6,597,356
CAFCO LLC
     08-25-03           1.03              18,600,000(d)           18,586,695
     09-09-03           1.04              25,000,000(d)           24,971,112
Charta LLC
     09-18-03           1.07              10,700,000(d)           10,684,417
Ciesco LLC
     09-03-03           1.04              10,500,000              10,489,687
Corporate Receivables
     08-01-03           0.94              11,600,000(d)           11,599,697
Credit Agricole Indosuez Yankee
     08-05-03           1.02              20,700,000              20,697,068
CXC
     08-07-03           0.98              22,800,000(d)           22,795,655

See accompanying notes to investments in securities.
- --------------------------------------------------------------------------------
10   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Short-term securities (continued)
Issuer            Coupon                     Principal             Value(a)
                   rate                       amount

Commercial paper (cont.)
Danske
     08-13-03           1.05%            $28,000,000             $27,989,385
Delaware Funding
     08-14-03           1.03               3,089,000(d)            3,087,763
Dexia Bank (Delaware) LLC
     08-22-03           1.05              17,400,000              17,388,835
Edison Asset Securitization
     10-09-03           1.03              17,644,000(d)           17,608,320
Fairway Finance
     08-15-03           1.04              15,679,000(d)           15,672,206
     08-22-03           1.04              14,400,000(d)           14,390,848
Falcon Asset Securitization
     08-29-03           1.07              17,358,000(d)           17,343,038
Galaxy Funding
     08-05-03           1.06              18,000,000(d)           17,997,350
Greyhawk Funding
     09-04-03           1.03              12,500,000(d)           12,487,482
Northern Rock
     08-04-03           1.23               7,000,000(d)            6,999,043
Old Line Funding
     09-05-03           1.04               5,400,000(d)            5,394,384
Park Avenue Receivables
     08-12-03           1.02              24,100,000(d)           24,091,805
     08-15-03           1.03               8,200,000(d)            8,196,481
Preferred Receivables Funding
     08-11-03           1.03              18,800,000(d)           18,794,083
     08-26-03           1.05               6,300,000(d)            6,295,223
Receivables Capital
     08-06-03           0.95              16,100,000(d)           16,097,451
Sigma Finance
     08-18-03           1.05              15,800,000(d)           15,791,705
     10-29-03           1.05              15,000,000(d)           14,961,000
Societe Generale North America LLC
     09-02-03           1.05              26,200,000              26,174,783
Total                                                            443,041,753

Total short-term securities
(Cost: $566,055,119)                                            $566,038,295

Total investments in securities
(Cost: $14,874,710,901)(e)                                   $16,911,432,251

Notes to investments in securities

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

(b)  Non-income producing.

(c)  Foreign security values are stated in U.S. dollars. As of July 31, 2003,
     the value of foreign securities represented 1.2% of net assets.

(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.

(e)  At July 31, 2003, the cost of securities for federal income tax purposes
     was $14,881,184,324 and the aggregate gross unrealized appreciation and
     depreciation based on that cost was:

     Unrealized appreciation                                  $2,855,581,196
     Unrealized depreciation                                    (825,333,269)
                                                                ------------
     Net unrealized appreciation                              $2,030,247,927
                                                              --------------

- --------------------------------------------------------------------------------
11   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Financial Statements

Statement of assets and liabilities
Growth Trends Portfolio

July 31, 2003
Assets
Investments in securities, at value (Note 1)*
   (identified cost $14,874,710,901)                             $16,911,432,251
Foreign currency holdings (identified cost $6,948) (Note 1)                7,022
Dividends and accrued interest receivable                             14,025,070
Receivable for investment securities sold                            112,342,417
U.S. government securities held as collateral (Note 4)               134,622,034
                                                                     -----------
Total assets                                                      17,172,428,794
                                                                  --------------
Liabilities
Disbursements in excess of cash on demand deposit                      1,246,612
Payable for investment securities purchased                           28,388,201
Payable upon return of securities loaned (Note 4)                    295,943,334
Accrued investment management services fee                               236,910
Other accrued expenses                                                   223,412
                                                                         -------
Total liabilities                                                    326,038,469
                                                                     -----------
Net assets                                                       $16,846,390,325
                                                                 ===============
* Including securities on loan, at value (Note 4)                $   291,164,377
                                                                 ---------------

See accompanying notes to financial statements.

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12   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statement of operations
Growth Trends Portfolio

Year ended July 31, 2003
Investment income
Income:
                                                                           
Dividends                                                                     $  232,038,970
Interest                                                                           5,913,103
Fee income from securities lending (Note 4)                                          274,512
   Less foreign taxes withheld                                                      (148,570)
                                                                                    --------
Total income                                                                     238,078,015
                                                                                 -----------
Expenses (Note 2):
Investment management services fee                                                90,852,746
Compensation of board members                                                         69,316
Custodian fees                                                                       869,029
Audit fees                                                                            36,000
Other                                                                                284,043
                                                                                     -------
Total expenses                                                                    92,111,134
                                                                                  ----------
Investment income (loss) -- net                                                  145,966,881
                                                                                 -----------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
   Security transactions (Note 3)                                               (478,774,954)
   Foreign currency transactions                                                  (1,464,357)
   Options contracts written (Note 5)                                              1,213,909
                                                                                   ---------
Net realized gain (loss) on investments                                         (479,025,402)
Net change in unrealized appreciation (depreciation) on investments
   and on translation of assets and liabilities in foreign currencies          1,817,357,987
                                                                               -------------
Net gain (loss) on investments and foreign currencies                          1,338,332,585
                                                                               -------------
Net increase (decrease) in net assets resulting from operations               $1,484,299,466
                                                                              ==============


See accompanying notes to financial statements.

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13   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statements of changes in net assets
Growth Trends Portfolio

Year ended July 31,                                                               2003                   2002
Operations
                                                                                             
Investment income (loss) -- net                                            $   145,966,881         $   133,998,848
Net realized gain (loss) on investments                                       (479,025,402)            (78,725,757)
Net change in unrealized appreciation (depreciation) on investments
   and on translation of assets and liabilities in foreign currencies        1,817,357,987          (4,792,265,331)
                                                                             -------------          --------------
Net increase (decrease) in net assets resulting from operations              1,484,299,466          (4,736,992,240)
                                                                             -------------          --------------
Proceeds from contributions                                                    151,515,494           1,102,314,218
Fair value of withdrawals                                                   (1,647,547,388)         (3,241,842,538)
                                                                            --------------          --------------
Net contributions (withdrawals) from partners                               (1,496,031,894)         (2,139,528,320)
                                                                            --------------          --------------
Total increase (decrease) in net assets                                        (11,732,428)         (6,876,520,560)
Net assets at beginning of year                                             16,858,122,753          23,734,643,313
                                                                            --------------          --------------
Net assets at end of year                                                  $16,846,390,325         $16,858,122,753
                                                                           ===============         ===============


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
14   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Notes to Financial Statements

Growth Trends Portfolio

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

Growth Trends Portfolio (the Portfolio) is a series of Growth Trust (the Trust)
and is registered under the Investment Company Act of 1940 (as amended) as a
diversified, open-end management investment company. Growth Trends Portfolio
invests primarily in common stocks of companies showing potential for
significant growth and operating in areas where economic or technological
changes are occurring. 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 write options traded on
any U.S. or foreign exchange or in the over-the-counter market where completing
the obligation depends upon the credit standing of the other party. The
Portfolio also may buy and sell put and call options and write covered call
options on portfolio securities as well as write cash-secured put options. 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.

- --------------------------------------------------------------------------------
15   --   AXP NEW DIMENSIONS FUND   --   2003 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
an option is 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 traded on any U.S. or foreign exchange. The
Portfolio also may buy and write put and call options on these 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.

Foreign currency translations and foreign currency contracts

Securities and other assets and liabilities denominated in foreign currencies
are translated daily into U.S. dollars. Foreign currency amounts related to the
purchase or sale of securities and income and expenses are translated at the
exchange rate on the transaction date. The effect of changes in foreign exchange
rates on realized and unrealized security gains or losses is reflected as a
component of such gains or losses. In the statement of operations, net realized
gains or losses from foreign currency transactions, if any, may arise from sales
of foreign currency, closed forward contracts, exchange gains or losses realized
between the trade date and settlement date on securities transactions, and other
translation gains or losses on dividends, interest income and foreign
withholding taxes. As of July 31, 2003, foreign currency holdings were entirely
comprised of Taiwan Dollars.

The Portfolio may enter into forward foreign currency exchange contracts for
operational purposes and to protect against adverse exchange rate fluctuation.
The net U.S. dollar value of foreign currency underlying all contractual
commitments held by the Portfolio and the resulting unrealized appreciation or
depreciation are determined using foreign currency exchange rates from an
independent pricing service. The Portfolio is subject to the credit risk that
the other party will not complete its contract obligations.

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.

- --------------------------------------------------------------------------------
16   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Other

Security transactions are accounted for on the date securities are purchased or
sold. Dividend income is recognized on the ex-dividend date and interest income,
including amortization of premium and 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 0.6% to 0.48% annually.
The fee may be adjusted upward or downward by a performance incentive adjustment
based on a comparison of the performance of Class A shares of AXP New Dimensions
Fund to the Lipper Large-Cap Growth Funds Index. Prior to Dec. 1, 2002, the
maximum adjustment was 0.12% of the Portfolio's average daily net assets after
deducting 1% from the performance difference. If the performance difference was
less than 1%, the adjustment was zero. On Nov. 13, 2002, shareholders approved
modification of the performance incentive adjustment calculation by adjusting
the performance difference intervals, while retaining the previous maximum
adjustment and reducing the amount of the performance difference for which no
adjustment is made to 0.50%. The effect of the modifications began Dec. 1, 2002.
The adjustment increased the fee by $8,699,236 for the year ended July 31, 2003.

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.

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 $3,148,724,089 and 4,655,242,662, respectively, for the
year ended July 31, 2003. For the same period, the portfolio turnover rate was
20%. Realized gains and losses are determined on an identified cost basis.

Brokerage clearing fees paid to brokers affiliated with AEFC were $324,088 for
the year ended July 31, 2003.

- --------------------------------------------------------------------------------
17   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


4. LENDING OF PORTFOLIO SECURITIES

As of July 31, 2003, securities valued at $291,164,377 were on loan to brokers.
For collateral, the Portfolio received $161,321,300 in cash and U.S. government
securities valued at $134,622,034. Income from securities lending amounted to
$274,512 for the year ended July 31, 2003. 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.

5. OPTIONS CONTRACTS WRITTEN

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

                                        Year ended July 31, 2003
                                      Puts                    Calls
                               Contracts   Premiums   Contracts   Premiums
Balance July 31, 2002           1,000    $ 186,994      1,000  $   156,995
Opened                             --           --     10,000    1,000,000
Closed                         (1,000)    (186,994)        --           --
Expired                            --           --    (11,000)  (1,156,995)
                                -----    ---------    -------  -----------
Balance July 31, 2003              --    $      --         --  $        --
                                -----    ---------      -----  -----------

- --------------------------------------------------------------------------------
18   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Independent Auditors' Report

THE BOARD OF TRUSTEES AND UNITHOLDERS

GROWTH TRUST

We have audited the accompanying statement of assets and liabilities, including
the schedule of investments in securities, of Growth Trends Portfolio (a series
of Growth Trust) as of July 31, 2003, the related statement of operations for
the year then ended and the statements of changes in net assets for each of the
years in the two-year period ended July 31, 2003. These financial statements are
the responsibility of portfolio management. Our responsibility is to express an
opinion on these financial statements based on our audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States of America. Those standards require that we plan and
perform the audit to obtain reasonable assurance about whether the financial
statements 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 July
31, 2003, 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 referred to above present fairly, in
all material respects, the financial position of Growth Trends Portfolio as of
July 31, 2003, and the results of its operations and the changes in its net
assets 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

September 12, 2003

- --------------------------------------------------------------------------------
19   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Financial Statements



Statement of assets and liabilities
AXP New Dimensions Fund

July 31, 2003
Assets
                                                                                                
Investment in Portfolio (Note 1)                                                                      $16,846,324,007
Capital shares receivable                                                                                   1,554,161
                                                                                                            ---------
Total assets                                                                                           16,847,878,168
                                                                                                       --------------
Liabilities
Capital shares payable                                                                                      1,155,716
Accrued distribution fee                                                                                      163,239
Accrued service fee                                                                                             9,467
Accrued transfer agency fee                                                                                    63,692
Accrued administrative services fee                                                                            14,782
Other accrued expenses                                                                                        509,194
                                                                                                              -------
Total liabilities                                                                                           1,916,090
                                                                                                            ---------
Net assets applicable to outstanding capital stock                                                    $16,845,962,078
                                                                                                      ===============
Represented by
Capital stock -- $.01 par value (Note 1)                                                              $     7,770,956
Additional paid-in capital                                                                             16,004,223,715
Undistributed net investment income                                                                        19,172,686
Accumulated net realized gain (loss) (Note 5)                                                          (1,221,918,813)
Unrealized appreciation (depreciation) on investments
   and on translation of assets and liabilities in foreign currencies                                   2,036,713,534
                                                                                                        -------------
Total -- representing net assets applicable to outstanding capital stock                              $16,845,962,078
                                                                                                      ===============
Net assets applicable to outstanding shares:               Class A                                    $ 9,858,532,685
                                                           Class B                                    $ 3,456,870,379
                                                           Class C                                    $    58,640,193
                                                           Class Y                                    $ 3,471,918,821
Net asset value per share of outstanding capital stock:    Class A shares        450,109,769          $         21.90
                                                           Class B shares        166,469,977          $         20.77
                                                           Class C shares          2,827,315          $         20.74
                                                           Class Y shares        157,688,507          $         22.02
                                                                                 -----------          ---------------


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
20   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statement of operations
AXP New Dimensions Fund

Year ended July 31, 2003
Investment income
Income:
                                                                                                    
Dividends                                                                                              $  232,038,094
Interest                                                                                                    5,912,075
Fee income from securities lending                                                                            274,511
    Less foreign taxes withheld                                                                              (148,569)
                                                                                                             --------
Total income                                                                                              238,076,111
                                                                                                          -----------
Expenses (Note 2):
Expenses allocated from Portfolio                                                                          92,110,787
Distribution fee
    Class A                                                                                                23,058,929
    Class B                                                                                                34,895,375
    Class C                                                                                                   487,807
Transfer agency fee                                                                                        27,953,542
Incremental transfer agency fee
    Class A                                                                                                 1,611,457
    Class B                                                                                                 1,396,563
    Class C                                                                                                    29,979
Service fee -- Class Y                                                                                      3,142,520
Administrative services fees and expenses                                                                   5,277,428
Compensation of board members                                                                                 139,482
Printing and postage                                                                                        2,845,629
Registration fees                                                                                               2,342
Audit fees                                                                                                     12,000
Other                                                                                                         188,961
                                                                                                              -------
Total expenses                                                                                            193,152,801
    Earnings credits on cash balances (Note 2)                                                               (212,253)
                                                                                                             --------
Total net expenses                                                                                        192,940,548
                                                                                                          -----------
Investment income (loss) -- net                                                                            45,135,563
                                                                                                           ----------
Realized and unrealized gain (loss) -- net
Net realized gain (loss) on:
    Security transactions                                                                                (478,773,091)
    Foreign currency transactions                                                                          (1,464,352)
    Options contracts written                                                                               1,213,905
                                                                                                            ---------
Net realized gain (loss) on investments                                                                  (479,023,538)
Net change in unrealized appreciation (depreciation) on investments
    and on translation of assets and liabilities in foreign currencies                                  1,817,350,639
                                                                                                        -------------
Net gain (loss) on investments and foreign currencies                                                   1,338,327,101
                                                                                                        -------------
Net increase (decrease) in net assets resulting from operations                                        $1,383,462,664
                                                                                                       ==============


See accompanying notes to financial statements.

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21   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Statements of changes in net assets
AXP New Dimensions Fund

Year ended July 31,                                                               2003                         2002
Operations and distributions
                                                                                                 
Investment income (loss) -- net                                            $    45,135,563             $    11,088,460
Net realized gain (loss) on investments                                       (479,023,538)                (78,716,798)
Net change in unrealized appreciation (depreciation) on investments
   and on translation of assets and liabilities in foreign currencies        1,817,350,639              (4,792,258,031)
                                                                             -------------              --------------
Net increase (decrease) in net assets resulting from operations              1,383,462,664              (4,859,886,369)
                                                                             -------------              --------------
Distributions to shareholders from:
   Net investment income
     Class A                                                                   (15,823,968)                 (6,092,513)
     Class B                                                                            --                  (2,401,369)
     Class C                                                                            --                     (18,358)
     Class Y                                                                    (8,674,557)                 (2,048,495)
   Tax return of capital
     Class A                                                                            --                  (2,538,856)
     Class B                                                                            --                  (1,003,750)
     Class C                                                                            --                      (7,646)
     Class Y                                                                            --                    (854,555)
                                                                               -----------                 -----------
Total distributions                                                            (24,498,525)                (14,965,542)
                                                                               -----------                 -----------
Capital share transactions (Note 3)
Proceeds from sales
   Class A shares (Note 2)                                                     952,976,869               2,430,324,703
   Class B shares                                                              406,346,628                 675,994,508
   Class C shares                                                               20,596,860                  31,832,064
   Class Y shares                                                              850,965,146               1,040,580,252
Reinvestment of distributions at net asset value
   Class A shares                                                               15,366,526                   8,375,379
   Class B shares                                                                       --                   3,370,269
   Class C shares                                                                       --                      25,864
   Class Y shares                                                                8,566,223                   2,894,340
Payments for redemptions
   Class A shares                                                           (1,761,464,006)             (3,608,500,396)
   Class B shares (Note 2)                                                    (955,150,455)               (997,820,871)
   Class C shares (Note 2)                                                     (10,578,609)                 (7,489,197)
   Class Y shares                                                             (898,578,735)             (1,580,185,126)
                                                                              ------------              --------------
Increase (decrease) in net assets from capital share transactions           (1,370,953,553)             (2,000,598,211)
                                                                            --------------              --------------
Total increase (decrease) in net assets                                        (11,989,414)             (6,875,450,122)
Net assets at beginning of year                                             16,857,951,492              23,733,401,614
                                                                            --------------              --------------
Net assets at end of year                                                  $16,845,962,078             $16,857,951,492
                                                                           ===============             ===============
Undistributed net investment income                                        $    19,172,686             $            --
                                                                           ---------------             ---------------


See accompanying notes to financial statements.

- --------------------------------------------------------------------------------
22   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Notes to Financial Statements

AXP New Dimensions Fund

1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

The Fund is a series of AXP Dimensions Series, Inc. (formerly AXP New
Dimensions Fund, Inc.) and is registered under the Investment Company Act of
1940 (as amended) as a diversified, open-end management investment company.
AXP Dimensions 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.

All classes of shares have identical voting, dividend and liquidation rights.
The level of 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 Growth Trends Portfolio

The Fund invests all of its assets in the Growth Trends Portfolio (the
Portfolio), a series of Growth Trust (the Trust), an open-end investment company
that has the same objectives as the Fund. The Portfolio invests primarily in
common stocks of companies showing potential for significant growth and
operating in areas where economic or technological changes are occurring.

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 July 31, 2003, was 99.99%.
Valuation of securities held by the Portfolio is discussed in Note 1 of the
Portfolio's "Notes to financial statements" (included elsewhere in this report).

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.

- --------------------------------------------------------------------------------
23   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


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, the recognition of certain foreign currency gains
(losses) as ordinary income (loss) for tax purposes, 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 decreased by
$1,464,352 and accumulated net realized loss has been decreased by $1,464,352.

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

Year ended July 31,                                   2003             2002

Class A
Distributions paid from:
      Ordinary income                              $15,823,968     $6,092,513
      Tax return of capital                                 --      2,538,856
Class B
Distributions paid from:
      Ordinary income                                       --      2,401,369
      Tax return of capital                                 --      1,003,750
Class C
Distributions paid from:
      Ordinary income                                       --         18,358
      Tax return of capital                                 --          7,646
Class Y
Distributions paid from:
      Ordinary income                                8,674,557      2,048,495
      Tax return of capital                                 --        854,555

As of July 31, 2003, the components of distributable earnings on a tax basis are
as follows:

Undistributed ordinary income                                 $    19,172,686
Accumulated long-term gain (loss)                             $(1,193,208,675)
Unrealized appreciation (depreciation)                        $ 2,008,003,396

Dividends to shareholders

An annual dividend from net investment income, declared and paid at the end of
the calendar year, when available, is reinvested in additional shares of the
Fund at net asset value or payable in cash. Capital gains, when available, are
distributed along with the income dividend.

- --------------------------------------------------------------------------------
24   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


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 0.02% 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 separate Transfer Agency Agreement, American Express Client Service
Corporation (AECSC) maintains shareholder accounts and records. The incremental
transfer agency fee is the amount charged to the specific classes for the
additional expense above the fee for Class Y. The Fund pays AECSC an annual fee
per shareholder account for this service as follows:

o      Class A $19.50

o      Class B $20.50

o      Class C $20.00

o      Class Y $17.50

In addition, there is 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.

Under terms of a prior agreement that ended April 30, 2003, the Fund paid a
transfer agency fee at an annual rate per shareholder account of $19 for Class
A, $20 for Class B, $19.50 for Class C and $17 for Class Y.

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
$16,451,736 for Class A, $3,936,838 for Class B and $17,441 for Class C for the
year ended July 31, 2003.

During the year ended July 31, 2003, the Fund's transfer agency fees were
reduced by $212,253 as a result of earnings credits from overnight cash
balances.

- --------------------------------------------------------------------------------
25   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


3. CAPITAL SHARE TRANSACTIONS

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



                                                            Year ended July 31, 2003
                                             Class A        Class B        Class C        Class Y
                                                                          
Sold                                      46,758,227     21,445,445      1,090,406     42,498,051
Issued for reinvested distributions          792,467             --             --        441,558
Redeemed                                 (89,554,929)   (50,020,413)      (567,925)   (45,281,669)
                                         -----------    -----------       --------    -----------
Net increase (decrease)                  (42,004,235)   (28,574,968)       522,481     (2,342,060)
                                         -----------    -----------        -------     ----------

                                                           Year ended July 31, 2002
                                             Class A        Class B        Class C        Class Y
Sold                                     103,405,732     30,104,630      1,423,135     44,288,672
Issued for reinvested distributions          343,417        144,220          1,107        118,222
Redeemed                                (156,522,877)   (46,677,982)      (347,238)   (67,710,202)
                                        ------------    -----------       --------    -----------
Net increase (decrease)                  (52,773,728)   (16,429,132)     1,077,004    (23,303,308)
                                         -----------    -----------      ---------    -----------


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 agreement
went into effect Sept. 24, 2002. 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. Prior to this agreement, the Fund had a
revolving credit agreement that permitted borrowings up to $200 million with
U.S. Bank, N.A. The Fund had no borrowings outstanding during the year ended
July 31, 2003.

5. CAPITAL LOSS CARRY-OVER

For federal income tax purposes, the Fund has a capital loss carry-over of
$1,193,208,675 as of July 31, 2003, that will expire in 2010 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.

- --------------------------------------------------------------------------------
26   --   AXP NEW DIMENSIONS FUND   --   2003 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 July 31,                                               2003      2002       2001       2000     1999
                                                                                                   
Net asset value, beginning of period                                      $20.04    $25.43     $36.26     $31.21   $27.59
Income from investment operations:
Net investment income (loss)                                                 .07       .05        .02        .02      .06
Net gains (losses) (both realized and unrealized)                           1.82     (5.42)     (7.37)      7.14     5.31
Total from investment operations                                            1.89     (5.37)     (7.35)      7.16     5.37
Less distributions:
Dividends from net investment income                                        (.03)     (.02)      (.01)      (.05)    (.06)
Excess distributions from net investment income                               --        --       (.01)        --       --
Distributions from realized gains                                             --        --      (3.46)     (2.06)   (1.69)
Total distributions                                                         (.03)     (.02)     (3.48)     (2.11)   (1.75)
Net asset value, end of period                                            $21.90    $20.04     $25.43     $36.26   $31.21

Ratios/supplemental data
Net assets, end of period (in millions)                                   $9,859    $9,863    $13,857    $17,777  $13,568
Ratio of expenses to average daily net assets(c)                           1.08%     1.06%      1.00%       .90%     .86%
Ratio of net investment income (loss) to average daily net assets           .42%      .19%       .12%       .19%     .24%
Portfolio turnover rate (excluding short-term securities)                    20%       27%        29%        34%      34%
Total return(e)                                                            9.47%   (21.14%)   (21.10%)    23.16%   20.04%


See accompanying notes to financial highlights.

- --------------------------------------------------------------------------------
27   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class B
Per share income and capital changes(a)
Fiscal period ended July 31,                                               2003      2002       2001       2000     1999
                                                                                                    
Net asset value, beginning of period                                      $19.12    $24.44     $35.22     $30.54   $27.19
Income from investment operations:
Net investment income (loss)                                                (.04)     (.14)      (.13)      (.24)    (.10)
Net gains (losses) (both realized and unrealized)                           1.69     (5.16)     (7.19)      6.98     5.14
Total from investment operations                                            1.65     (5.30)     (7.32)      6.74     5.04
Less distributions:
Dividends from net investment income                                          --      (.02)        --         --       --
Distributions from realized gains                                             --        --      (3.46)     (2.06)   (1.69)
Total distributions                                                           --      (.02)     (3.46)     (2.06)   (1.69)
Net asset value, end of period                                            $20.77    $19.12     $24.44     $35.22   $30.54

Ratios/supplemental data
Net assets, end of period (in millions)                                   $3,457    $3,728     $5,169     $6,252   $4,070
Ratio of expenses to average daily net assets(c)                           1.85%     1.83%      1.76%      1.66%    1.63%
Ratio of net investment income (loss) to average daily net assets          (.35%)    (.57%)     (.65%)     (.57%)   (.53%)
Portfolio turnover rate (excluding short-term securities)                    20%       27%        29%        34%      34%
Total return(e)                                                            8.63%   (21.71%)   (21.69%)    22.20%   19.13%


See accompanying notes to financial highlights.

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28   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class C
Per share income and capital changes(a)
Fiscal period ended July 31,                                               2003      2002       2001       2000(b)
                                                                                              
Net asset value, beginning of period                                      $19.10    $24.42     $35.23     $35.52
Income from investment operations:
Net investment income (loss)                                               (0.04)     (.14)      (.13)      (.01)
Net gains (losses) (both realized and unrealized)                           1.68     (5.16)     (7.19)      (.28)
Total from investment operations                                            1.64     (5.30)     (7.32)      (.29)
Less distributions:
Dividends from net investment income                                          --      (.02)      (.02)        --
Excess distributions from net investment income                               --        --       (.01)        --
Distributions from realized gains                                             --        --      (3.46)        --
Total distributions                                                           --      (.02)     (3.49)        --
Net asset value, end of period                                            $20.74    $19.10     $24.42     $35.23

Ratios/supplemental data
Net assets, end of period (in millions)                                      $59       $44        $30         $2
Ratio of expenses to average daily net assets(c)                           1.87%     1.85%      1.76%      1.66%(d)
Ratio of net investment income (loss) to average daily net assets          (.38%)    (.60%)     (.75%)     (.74%)(d)
Portfolio turnover rate (excluding short-term securities)                    20%       27%        29%        34%
Total return(e)                                                            8.59%   (21.73%)   (21.70%)     (.82%)(f)


See accompanying notes to financial highlights.

- --------------------------------------------------------------------------------
29   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Class Y
Per share income and capital changes(a)
Fiscal period ended July 31,                                               2003      2002       2001       2000     1999
                                                                                                    
Net asset value, beginning of period                                      $20.14    $25.51     $36.33     $31.24   $27.62
Income from investment operations:
Net investment income (loss)                                                 .11       .09        .07        .05      .09
Net gains (losses) (both realized and unrealized)                           1.83     (5.44)     (7.38)       7.19    5.30
Total from investment operations                                            1.94     (5.35)     (7.31)       7.24    5.39
Less distributions:
Dividends from net investment income                                        (.06)     (.02)      (.02)      (.09)    (.08)
Excess distributions from net investment income                               --        --       (.03)        --       --
Distributions from realized gains                                             --        --      (3.46)     (2.06)   (1.69)
Total distributions                                                         (.06)     (.02)     (3.51)     (2.15)   (1.77)
Net asset value, end of period                                            $22.02    $20.14     $25.51     $36.33   $31.24

Ratios/supplemental data
Net assets, end of period (in millions)                                   $3,472    $3,222     $4,677     $6,328   $5,513
Ratio of expenses to average daily net assets(c)                            .91%      .90%       .84%       .74%     .77%
Ratio of net investment income (loss) to average daily net assets           .59%      .36%       .28%       .35%     .33%
Portfolio turnover rate (excluding short-term securities)                    20%       27%        29%        34%      34%
Total return(e)                                                            9.64%   (21.00%)   (20.97%)    23.35%   20.12%


Notes to financial highlights

(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.

- --------------------------------------------------------------------------------
30   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


Independent Auditors' Report

THE BOARD AND SHAREHOLDERS

AXP DIMENSIONS SERIES, INC.

We have audited the accompanying statement of assets and liabilities of AXP New
Dimensions Fund (a series of AXP Dimensions Series, Inc.) as of July 31, 2003,
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 July
31, 2003, and the financial highlights for each of the years in the five-year
period ended July 31, 2003. 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 auditing standards generally accepted
in the United States of America. 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
New Dimensions Fund as of July 31, 2003, 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

September 12, 2003

- --------------------------------------------------------------------------------
31   --   AXP NEW DIMENSIONS FUND   --   2003 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 New Dimensions Fund
Fiscal year ended July 31, 2003

Class A
Income distributions -- taxable as dividend income:

     Qualified Dividend Income for individuals (effective for distributions
     made after Jan. 1, 2003)                                         0.00%
     Dividends Received Deduction for corporations                     100%

Payable date                                                      Per share
Dec. 19, 2002                                                      $0.03382

Class Y
Income distributions -- taxable as dividend income:

     Qualified Dividend Income for individuals (effective for distributions
     made after Jan. 1, 2003)                                         0.00%
     Dividends Received Deduction for corporations                     100%

Payable date                                                      Per share
Dec. 19, 2002                                                      $0.05517

- --------------------------------------------------------------------------------
32   --   AXP NEW DIMENSIONS FUND   --   2003 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 83 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      Other directorships
                                   with Fund and      five years
                                   length of service
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
                                                                                   
Arne H. Carlson                    Board member       Chair, Board Services Corporation
901 S. Marquette Ave.              since 1999         (provides administrative services
Minneapolis, MN 55402                                 to boards). Former Governor  of
Age 68                                                Minnesota
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
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 65                                                                                      materials/chemicals)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Livio D. DeSimone                  Board member       Retired Chair of the Board and        Cargill, Incorporated
30 Seventh Street East             since 2001         Chief Executive Officer, Minnesota    (commodity merchants and
Suite 3050                                            Mining and Manufacturing (3M)         processors), General Mills,
St. Paul, MN 55101-4901                                                                     Inc. (consumer foods), Vulcan
Age 69                                                                                      Materials Company (construction
                                                                                            materials/ chemicals), Milliken
                                                                                            & Company (textiles and
                                                                                            chemicals), and Nexia
                                                                                            Biotechnologies, Inc.
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Heinz F. Hutter*                   Board member       Retired President and Chief
901 S. Marquette Ave.              since 1994         Operating Officer, Cargill,
Minneapolis, MN 55402                                 Incorporated (commodity merchants
Age 74                                                and processors)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Anne P. Jones                      Board member       Attorney and Consultant
901 S. Marquette Ave.              since 1985
Minneapolis, MN 55402
Age 68
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
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 64
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------
Alan G. Quasha                     Board member       President, Quadrant Management,       Compagnie Financiere Richemont
901 S. Marquette Ave.              since 2002         Inc. (management of private           AG (luxury goods), Harken
Minneapolis, MN 55402                                 equities)                             Energy Corporation (oil and gas
Age 53                                                                                      exploration) and SIRIT Inc.
                                                                                            (radio frequency identification
                                                                                            technology)
- ---------------------------------- ------------------ ------------------------------------- ---------------------------------


 *   Interested person of AXP Partners International Aggressive Growth Fund and
     AXP Partners Aggressive Growth Fund by reason of being a security holder of
     J P Morgan Chase & Co., which has a 45% interest in American Century
     Companies, Inc., the parent company of the subadviser of two of the AXP
     Partners Funds, American Century Investment Management, Inc.

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

- --------------------------------------------------------------------------------
33   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT




Independent Board Members (continued)

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
                                                                                   
Alan K. Simpson                   Board member        Former three-term United States       Biogen, Inc.
1201 Sunshine Ave.                since 1997          Senator for Wyoming                   (biopharmaceuticals)
Cody, WY 82414
Age 71
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Alison Taunton-Rigby              Board member        President, Forester Biotech since
901 S. Marquette Ave.             since 2002          2000. Former President and CEO,
Minneapolis, MN 55402                                 Aquila Biopharmaceuticals, Inc.
Age 59
- --------------------------------- ------------------- ------------------------------------- ---------------------------------

Board Members Affiliated with AEFC***

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Barbara H. Fraser                 Board member        Executive Vice President -  AEFA
1546 AXP Financial Center         since 2002          Products and Corporate Marketing of
Minneapolis, MN 55474                                 AEFC since 2002. President -
Age 53                                                Travelers Check Group, American
                                                      Express Company,  2001-2002.
                                                      Management Consultant, Reuters,
                                                      2000-2001. Managing Director -
                                                      International Investments, Citibank
                                                      Global,  1999-2000. Chairman and
                                                      CEO, Citicorp Investment Services
                                                      and Citigroup Insurance Group,
                                                      U.S., 1998-1999
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Stephen W. Roszell                Board member        Senior Vice President -
50238 AXP Financial Center        since 2002, Vice    Institutional Group of AEFC
Minneapolis, MN 55474             President  since
Age 54                            2002
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
William F. Truscott               Board member        Senior Vice President - Chief
53600 AXP Financial Center        since 2001,  Vice   Investment Officer of AEFC since
Minneapolis, MN 55474             President  since    2001. Former Chief Investment
Age 42                            2002                Officer and Managing Director,
                                                      Zurich Scudder Investments
- --------------------------------- ------------------- ------------------------------------- ---------------------------------


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

- --------------------------------------------------------------------------------
34   --   AXP NEW DIMENSIONS FUND   --   2003 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. Roszell, who is vice president, and
Mr. Truscott, who is vice president, the Fund's other officers are:



Other Officers

Name, address, age                Position held       Principal occupation during past      Other directorships
                                  with Fund and       five years
                                  length of service
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
                                                                                   
Jeffrey P. Fox                    Treasurer since     Vice President - Investment
50005 AXP Financial Center        2002                Accounting, AEFC, since 2002;  Vice
Minneapolis, MN 55474                                 President - Finance, American
Age 48                                                Express Company, 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 49                                                Director - American Express Funds,
                                                      AEFC, 2000-2002; Vice President,
                                                      AEFC,  1998-2000
- --------------------------------- ------------------- ------------------------------------- ---------------------------------
Leslie L. Ogg                     Vice President,     President of Board Services
901 S. Marquette Ave.             General Counsel,    Corporation
Minneapolis, MN 55402             and Secretary
Age 64                            since 1978
- --------------------------------- ------------------- ------------------------------------- ---------------------------------


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

- --------------------------------------------------------------------------------
35   --   AXP NEW DIMENSIONS FUND   --   2003 ANNUAL REPORT


The policies and procedures that the Fund uses to determine how to vote proxies
relating to portfolio securities can be found in the Fund's Statement of
Additional Information (SAI) which is available (i) without charge, upon
request, by calling toll-free (800) 862-7919; (ii) on the American Express
Company Web site at americanexpress.com/funds; and (iii) on the Securities and
Exchange Commission Web site at http://www.sec.gov.

- --------------------------------------------------------------------------------
(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.  Not applicable.

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.    [Reserved]

Item 9.    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 10.   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.

           (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 Dimensions Series, Inc.


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

Date                          January 14, 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                          January 14, 2004


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

Date                          January 14, 2004