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


                                   FORM N-CSR

              CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT
                              INVESTMENT COMPANIES

Investment Company Act file number:       811-3207

                         GENERAL MONEY MARKET FUND, INC.
               (Exact name of Registrant as specified in charter)


                           c/o The Dreyfus Corporation
                                 200 Park Avenue
                            New York, New York 10166
               (Address of principal executive offices) (Zip code)

                              Mark N. Jacobs, Esq.
                                 200 Park Avenue
                            New York, New York 10166
                     (Name and address of agent for service)

Registrant's telephone number, including area code:    (212) 922-6000

Date of fiscal year end:     11/30

Date of reporting period:    11/30/03






                                          FORM N-CSR

ITEM 1.         REPORTS TO STOCKHOLDERS.

      General Money
      Market Fund, Inc.

      ANNUAL REPORT November 30, 2003

YOU, YOUR ADVISOR AND
DREYFUS
A MELLON FINANCIAL COMPANY(SM)

The  views  expressed in this report reflect those of the portfolio manager only
through the end of the period covered and do not necessarily represent the views
of  Dreyfus  or any other person in the Dreyfus organization. Any such views are
subject  to change at any time based upon market or other conditions and Dreyfus
disclaims any responsibility to update such views. These views may not be relied
on as investment advice and, because investment decisions for a Dreyfus fund are
based  on  numerous  factors,  may  not be relied on as an indication of trading
intent on behalf of any Dreyfus fund.

            Not FDIC-Insured * Not Bank-Guaranteed * May Lose Value


                                 Contents

                                 THE FUND
- --------------------------------------------------

                             2   Letter from the Chairman

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                             9   Statement of Assets and Liabilities

                            10   Statement of Operations

                            11   Statement of Changes in Net Assets

                            12   Financial Highlights

                            15   Notes to Financial Statements

                            21   Report of Independent Auditors

                            22   Board Members Information

                            24   Officers of the Fund

                                 FOR MORE INFORMATION
- ---------------------------------------------------------------------------

                                 Back Cover

                                                                       The Fund

                                                General Money Market Fund, Inc.

LETTER FROM THE CHAIRMAN

Dear Shareholder:

This  annual  report  for  General  Money  Market Fund, Inc. covers the 12-month
period  from  December  1,  2002, through November 30, 2003. Inside, you'll find
valuable information about how the fund was managed during the reporting period,
including a discussion with the fund's portfolio manager, Bernard W. Kiernan.

Recent  reports  of  marked  improvement  in  the  growth of U.S. Gross Domestic
Product  suggest to us that the economy has started to turn the corner. Tax cuts
and  low  mortgage  rates  have put cash in consumers' pockets, and corporations
have begun to increase spending and investment. As a result, after several years
of  falling  interest rates, longer-term bond yields have begun to creep upward.
However, the Federal Reserve Board repeatedly has affirmed its commitment to low
short-term  interest rates, and yields of money market instruments have remained
near    historical    lows.

Of  course,  we  have  seen  upturns before, only to be disappointed when growth
proved unsustainable over the longer term. However, based on recent data, we are
cautiously optimistic about the current economic environment. As always, we urge
you  to  speak  regularly  with  your  financial advisor, who may be in the best
position  to  suggest  the  Dreyfus  funds  designed to meet your current needs,
future goals and attitudes toward risk.

Thank you for your continued confidence and support.

Sincerely,

/s/ Stephen E. Canter

Stephen E. Canter
Chairman and Chief Executive Officer
The Dreyfus Corporation
December 15, 2003




DISCUSSION OF FUND PERFORMANCE

Bernard W. Kiernan, Jr., Portfolio Manager

How did General Money Market Fund, Inc. perform during the period?

During  the 12-month period ended November 30, 2003, the fund produced yields of
0.56% for Class A shares, 0.33% for Class B shares and 0.32% for Class X shares.
Taking  into  account  the  effects  of compounding, the fund produced effective
yields of 0.56% for Class A shares, 0.33% for Class B shares and 0.32% for Class
X shares for the same period.(1)

What is the fund's investment approach?

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation  of capital. To pursue this goal, the fund invests in a diversified
portfolio  of high-quality, short-term debt securities. These include securities
issued   or   guaranteed   by   the   U.S.   government   or   its  agencies  or
instrumentalities,  certificates  of  deposit,  short-term  securities issued by
domestic  or  foreign  banks,  repurchase  agreements,  asset-backed securities,
domestic  and dollar-denominated foreign commercial paper and dollar-denominated
obligations  issued  or  guaranteed  by  foreign governments. Normally, the fund
invests at least 25% of its net assets in domestic or dollar-denominated foreign
bank obligations.

What other factors influenced the fund's performance?

Although the Federal Reserve Board (the "Fed") reduced short-term interest rates
by  50  basis  points in early November 2002, just weeks before the start of the
reporting  period,  the  economy  remained  persistently  sluggish, growing at a
disappointing  1.4%  annualized  rate  in  the  fourth quarter of 2002 as rising
geopolitical tensions, corporate scandals and a declining stock market continued
to take their toll.

During  the opening months of 2003, hopes of a more sustainable economic rebound
faded when the impending war in Iraq caused businesses and consumers to postpone
spending. However, after it became clear in

                                                                      The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

late  March  that  major  combat  would  be  over quickly, investors became more
optimistic,  and  money  market  yields  rose  at  the  longer end of the curve.
Nonetheless,  U.S.  GDP  grew  at  a  disappointing 1.4% annualized rate for the
second consecutive quarter during the reporting period.

The  manufacturing sector began to show signs of sustainable improvement in May,
and  consumer  confidence  rebounded.  These encouraging signs were supported by
gains  in  the  stock  market,  low  inflation,  moderating  oil  prices, rising
productivity  and legislation enacting new tax cuts. However, the Fed maintained
its  relatively  cautious  stance at its May meeting, saying economic risks were
"weighted toward weakness for the foreseeable future."

Economic  indicators continued to improve in June, and the economy expanded at a
greater   than  expected  3.3%  annualized  rate  during  the  second  quarter.
Unfortunately,  the unemployment rate climbed to 6.4%, its highest level in nine
years,  and  most investors expected the Fed to reduce interest rates further at
its  meeting  in late June. The Fed did not disappoint them, driving the federal
funds rate down another 25 basis points to 1%, a 45-year low.

In  July,  new  signs  of  economic  strength created a sudden shift in investor
sentiment  amid  concerns  that rising inflation and a ballooning federal budget
deficit  might lead to higher interest rates. As a result, prices of longer-term
bonds plunged, producing one of the most severe six-week declines in the history
of  the  bond market. Although heightened volatility roiled the longer-term bond
markets,  money  market yields remained relatively steady, anchored at the short
end of the curve by the 1% federal funds rate.

The  economy continued to improve in the fall as it became clearer that business
investment  and  consumer  spending  were rebounding, even as inflation remained
well under control. Jobless claims dropped in September to their lowest level in
eight  months,  and sales at department stores rose as consumers spent their tax
refunds.  It  was  later  estimated  that  the  economy  grew  at  a robust 8.2%
annualized rate during the third quarter of 2003.


Economic  indicators  in  October  and  November  provided  more  evidence of an
improving  economy,  including  an encouraging increase in the number of jobs in
the  U.S.  economy  and  a decrease in the unemployment rate to 6.0%. Orders for
durable   goods  rose  more  strongly  in  November,  suggesting  that  business
investment  was  finally  contributing  in a meaningful way to the recovery, and
consumer  confidence  advanced  to  its  highest level in more than a year. As a
result,  yields  of  most U.S. Treasury securities and longer-dated money market
instruments  began  to  rise.  However, as was widely expected, the Fed held the
overnight  federal  funds rate steady at its December meeting just after the end
of the reporting period and reiterated its commitment to keeping borrowing rates
low for "a considerable period."

What is the fund's current strategy?

We  generally have maintained the fund's weighted average maturity in a range we
consider longer than average. This strategy is designed to capture higher yields
at  the  longer  end of the fund's maturity range. Of course, we are prepared to
adjust our strategies as economic and market conditions evolve.

December 15, 2003

(1)  EFFECTIVE YIELD IS BASED UPON DIVIDENDS DECLARED DAILY AND REINVESTED
MONTHLY. PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. YIELDS FLUCTUATE.
AN INVESTMENT IN THE FUND IS NOT INSURED OR GUARANTEED BY THE FDIC OR THE U.S.
GOVERNMENT. ALTHOUGH THE FUND SEEKS TO PRESERVE THE VALUE OF YOUR INVESTMENT AT
$1.00 PER SHARE, IT IS POSSIBLE TO LOSE MONEY BY INVESTING IN THE FUND. YIELDS
PROVIDED FOR THE FUND'S CLASS B AND CLASS X SHARES REFLECT THE ABSORPTION OF
FUND EXPENSES BY THE DREYFUS CORPORATION PURSUANT TO AN UNDERTAKING IN EFFECT
THAT MAY BE EXTENDED, TERMINATED OR MODIFIED AT ANY TIME. HAD THESE EXPENSES NOT
BEEN ABSORBED, THE FUND'S CLASS B AND CLASS X YIELDS WOULD HAVE BEEN LOWER.

                                                             The Fund

STATEMENT OF INVESTMENTS

STATEMENT OF INVESTMENTS

November 30, 2003


                                                                                                                  

                                                                                              Principal
NEGOTIABLE BANK CERTIFICATES OF DEPOSIT--40.9%                                               Amount ($)                 Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

BNP Paribas (Yankee)

   1.20%, 5/19/2004                                                                         100,000,000               99,997,667

Barclays Bank PLC (Yankee)

   1.04%, 12/23/2003                                                                        350,000,000              350,000,000

Chase Manhattan Bank USA (Yankee)

   1.07%, 11/8/2004                                                                         233,000,000  (a)         233,000,000

Credit Agricole Indosuez S.A. (Yankee)

   1.06%, 3/15/2004                                                                         150,000,000  (a)         149,993,499

Credit Lyonnais N.A. Inc. (Yankee)

   1.06%, 10/14/2004                                                                         60,000,000  (a)          59,993,442

HBOS Treasury Services PLC (London)

   1.04%--1.08%, 12/12/2003--1/16/2004                                                      335,000,000              335,002,986

Landesbank Hessen-Thueringen Girozentrale (London)

   1.04%, 1/5/2004                                                                          150,000,000              150,000,000

M&I Marshall & Ilsley Bank Milwaukee, WI (Yankee)

   1.05%, 3/17/2004                                                                         200,000,000  (a)         199,988,212

Natexis Banques Populaires (Yankee)

   1.05%--1.16%, 12/22/2003--5/4/2004                                                       300,000,000              299,996,354

Norddeutsche Landesbank Girozentrale (Yankee)

   1.20%, 8/27/2004                                                                         100,000,000               99,992,597

Nordea Bank Finland PLC (Yankee)

   1.07%, 1/12/2004                                                                         100,000,000  (a)          99,999,420

Sanpaolo IMI SpA (London)

   1.05%, 12/24/2003                                                                        200,000,000              200,000,000

Societe Generale (Yankee)

   1.05%, 3/8/2004                                                                          250,000,000  (a)         249,990,058

UniCredito Italiano SpA (London)

   1.08%, 12/12/2003                                                                        200,000,000              200,000,000

Westdeutsche Landesbank Girozentrale (Yankee)

   1.05%, 1/12/2004                                                                          50,000,000               50,000,000

Wilmington Trust Co.

   1.06%, 12/15/2003                                                                         50,000,000               50,000,000

TOTAL NEGOTIABLE BANK CERTIFICATES OF DEPOSIT

   (cost $2,827,954,235)                                                                                           2,827,954,235
- ------------------------------------------------------------------------------------------------------------------------------------

COMMERCIAL PAPER--12.3%
- ------------------------------------------------------------------------------------------------------------------------------------

Allied Irish Banks N.A. Inc.

   1.05%, 1/5/2004--1/7/2004                                                                100,000,000               99,896,000

General Electric Capital Corp.

   1.12%--1.14%, 3/4/2004--4/9/2004                                                         300,000,000              299,009,056


                                                                                              Principal

COMMERCIAL PAPER (CONTINUED)                                                                  Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

General Electric Capital Services Inc.

   1.14%, 3/2/2004                                                                          100,000,000               99,711,222

Morgan Stanley & Co. Inc.

   1.11%, 12/9/2003                                                                         100,000,000              100,000,000

Norddeutsche Landesbank Luxembourg S.A.

   1.05%, 1/6/2004                                                                          100,000,000               99,895,500

UBS Finance Delaware LLC

   1.04%, 12/1/2003                                                                         150,000,000              150,000,000

TOTAL COMMERCIAL PAPER

   (cost $848,511,778)                                                                                               848,511,778
- ------------------------------------------------------------------------------------------------------------------------------------

CORPORATE NOTES--10.9%
- ------------------------------------------------------------------------------------------------------------------------------------

Merrill Lynch & Co. Inc.

   1.08%, 4/16/2004                                                                         150,000,000  (a)         150,000,000

Paradigm Funding LLC

   1.08%, 8/20/2004                                                                         200,000,000  (a,b)       200,000,000

Societe Generale

   1.06%, 2/18/2004                                                                         100,000,000  (a)          99,997,212

Swedbank

   1.07%, 10/1/2004                                                                         300,000,000  (a)         299,970,205

TOTAL CORPORATE NOTES

   (cost $749,967,417)                                                                                               749,967,417
- ------------------------------------------------------------------------------------------------------------------------------------

PROMISSORY NOTES--4.3%
- ------------------------------------------------------------------------------------------------------------------------------------

Goldman Sachs Group Inc.

  1.21%--1.41%, 1/21/2004--4/14/2004

   (cost $300,000,000)                                                                      300,000,000  (c)         300,000,000
- ------------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM BANK NOTES--10.9%
- ------------------------------------------------------------------------------------------------------------------------------------

BNP Paribas

   1.06%, 6/16/2004                                                                         250,000,000  (a)         249,972,734

Bank One N.A.

   1.05%, 1/12/2004                                                                         100,000,000  (a)          99,999,424

National City Bank

   1.06%, 1/20/2004--2/23/2004                                                              250,000,000  (a)         250,000,807

Westdeutsche Landesbank Girozentrale

   1.07%, 6/7/2004                                                                          150,000,000  (a)         149,984,392

TOTAL SHORT-TERM BANK NOTES

   (cost $749,957,357)                                                                                               749,957,357

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal
U.S. GOVERNMENT AGENCIES--20.3%                                                               Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

Federal Home Loan Banks, Notes

   1.06%, 7/14/2004                                                                         120,000,000              120,000,000

Federal Home Loan Mortgage Corp., Discount Notes

   1.02%--1.14%, 12/15/2003--3/8/2004                                                       455,938,000              455,331,080

Federal Home Loan Mortgage Corp., Notes

   1.27%--1.50%, 9/17/2004--12/24/2004                                                      630,000,000              630,000,000

Federal National Mortgage Association, Notes

   1.50%, 12/3/2004                                                                         200,000,000              200,000,000

TOTAL U.S. GOVERNMENT AGENCIES

   (cost $1,405,331,080)                                                                                           1,405,331,080
- ------------------------------------------------------------------------------------------------------------------------------------

TIME DEPOSITS--3.2%
- ------------------------------------------------------------------------------------------------------------------------------------

Branch Banking & Trust Co. (Grand Cayman)

   1.00%, 12/1/2003                                                                          22,000,000               22,000,000

Rabobank Nederland (Grand Cayman)

   1.02%, 12/1/2003                                                                         200,000,000              200,000,000

TOTAL TIME DEPOSITS

   (cost $222,000,000)                                                                                               222,000,000
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $7,103,721,867)                                                           102.8%           7,103,721,867

LIABILITIES, LESS CASH AND RECEIVABLES                                                             (2.8%)           (191,981,646)

NET ASSETS                                                                                        100.0%           6,911,740,221

(A)   VARIABLE INTEREST RATE--SUBJECT TO PERIODIC CHANGE.

(B)   SECURITY EXEMPT FROM REGISTRATION UNDER RULE 144A OF THE SECURITIES ACT OF
      1933. THIS SECURITY MAY BE RESOLD IN TRANSACTIONS EXEMPT FROM
      REGISTRATION, NORMALLY TO QUALIFIED INSTITUTIONAL BUYERS. AT NOVEMBER 30,
      2003, THIS SECURITY AMOUNTED TO $200,000,000 OR 2.9% OF NET ASSETS.

(C)   THESE NOTES WERE ACQUIRED FOR INVESTMENT, AND NOT WITH THE INTENT TO
      DISTRIBUTE OR SELL. SECURITIES RESTRICTED AS TO PUBLIC RESALE. THESE
      SECURITIES WERE ACQUIRED FROM 2/25/2003 TO 10/16/2003 AT A COST OF
      $300,000,000. AT NOVEMBER 30, 2003, THE AGGREGATE VALUE OF THESE
      SECURITIES WAS $300,000,000 OR 4.3% OF NET ASSETS AND ARE VALUED AT
      AMORTIZED COST.

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF ASSETS AND LIABILITIES

November 30, 2003

                                                             Cost         Value
- --------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--See Statement of
Investments                                         7,103,721,867  7,103,721,86

Cash                                                                    664,698

Interest receivable                                                  13,079,536

Prepaid expenses                                                        263,065

                                                                  7,117,729,166
- --------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                         5,333,998

Payable for investment securities purchased                         200,000,000

Payable for shares of Common Stock redeemed                             498,304

Accrued expenses                                                        156,643

                                                                    205,988,945
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                    6,911,740,221
- --------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                   6,911,754,378

Accumulated net realized gain (loss) on investments                     (14,157)
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                    6,911,740,221


                                                                                                                  

NET ASSET VALUE PER SHARE

                                                                              Class A               Class B             Class X
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets ($)                                                          1,277,955,706          5,633,656,819            127,696

Shares Outstanding                                                      1,277,994,320          5,633,632,357            127,701
- ------------------------------------------------------------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                                    1.00                  1.00               1.00

SEE NOTES TO FINANCIAL STATEMENTS.


                                                             The Fund

STATEMENT OF OPERATIONS

Year Ended November 30, 2003

- --------------------------------------------------------------------------------

INVESTMENT INCOME ($):

INTEREST INCOME                                                     98,408,571

EXPENSES:

Management fee--Note 2(a)                                           36,893,858

Shareholder servicing costs--Note 2(c)                              19,044,524

Distribution fees, service fees and prospectus--Note 2(b)           14,831,362

Custodian fees                                                         280,704

Directors' fees and expenses--Note 2(d)                                176,860

Registration fees                                                      169,042

Professional fees                                                       57,305

Prospectus and shareholders' reports                                    27,108

Miscellaneous                                                           96,893

TOTAL EXPENSES                                                      71,577,656

Less--reduction in shareholder servicing costs
  due to undertaking--Note 2(c)                                       (858,822)

NET EXPENSES                                                        70,718,834

INVESTMENT INCOME-NET                                               27,689,737
- --------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($)                 (10,418)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                27,679,319

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF CHANGES IN NET ASSETS

                                                     Year Ended November 30,
                                          --------------------------------------
                                                     2003                  2002
- --------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                         27,689,737            84,953,550

Net realized gain (loss) on investments           (10,418)              120,459

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                   27,679,319            85,074,009
- --------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A Shares                                 (8,018,360)          (21,557,165)

Class B Shares                                (19,670,906)          (63,394,048)

Class X Shares                                       (471)               (2,337)

TOTAL DIVIDENDS                               (27,689,737)          (84,953,550)
- --------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold:

Class A Shares                              7,231,363,649         7,659,411,969

Class B Shares                             14,956,398,812        14,614,130,063

Class X Shares                                     78,645                12,830

Dividends reinvested:

Class A Shares                                  7,901,889            21,033,870

Class B Shares                                 18,419,010            56,427,944

Class X Shares                                        246                 1,383

Cost of shares redeemed:

Class A Shares                              (7,517,672,820)      (7,503,864,979)

Class B Shares                             (14,800,138,189)     (13,925,485,108)

Class X Shares                                   (110,443)             (146,242)

INCREASE (DECREASE) IN NET ASSETS FROM
   CAPITAL STOCK TRANSACTIONS                (103,759,201)          921,521,730

TOTAL INCREASE (DECREASE) IN NET ASSETS      (103,769,619)          921,642,189
- --------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                         7,015,509,840         6,093,867,651

END OF PERIOD                               6,911,740,221         7,015,509,840

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

FINANCIAL HIGHLIGHTS

The  following  tables  describe  the  performance  for each share class for the
fiscal  periods  indicated.  All  information  reflects  financial results for a
single fund share. Total return shows how much your investment in the fund would
have  increased  (or  decreased) during each period, assuming you had reinvested
all dividends and distributions. These figures have been derived from the fund's
financial statements.


                                                                                                            

                                                                                 Year Ended November 30,
                                                      ------------------------------------------------------------------------------
CLASS A SHARES                                           2003             2002             2001             2000            1999
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value, beginning of period                     1.00             1.00             1.00             1.00            1.00

Investment Operations:

Investment income--net                                   .006             .014             .041             .056            .044

Distributions:

Dividends from
   investment income--net                               (.006)           (.014)           (.041)           (.056)          (.044)

Net asset value, end of period                           1.00             1.00             1.00             1.00            1.00
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                          .56             1.43             4.21             5.77            4.53
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to
   average net assets                                     .77              .77              .79              .78             .78

Ratio of net investment income
   to average net assets                                  .57             1.42             4.03             5.64            4.44
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                      1,277,956        1,556,365        1,379,758          982,685         863,981

SEE NOTES TO FINANCIAL STATEMENTS.


                                                                             Year Ended November 30,
                                                 -----------------------------------------------------------------------------------

CLASS B SHARES                                      2003             2002              2001              2000             1999
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value,
   beginning of period                              1.00             1.00              1.00              1.00             1.00

Investment Operations:

Investment income--net                              .003             .012              .039              .054             .042

Dividends from
   investment income--net                          (.003)           (.012)            (.039)            (.054)           (.042)

Net asset value, end of period                      1.00             1.00              1.00              1.00             1.00
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                     .33             1.20              3.98              5.53             4.32
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to
   average net assets                               1.00             1.00              1.00              1.00             1.00

Ratio of net investment income
   to average net assets                             .33             1.19              3.81              5.41             4.24

Decrease reflected in above
   expense ratios due to
   undertakings by
   The Dreyfus Corporation                           .01              .01               .03               .02              .03
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                 5,633,657        5,458,986         4,713,819         3,338,285        3,056,844

SEE NOTES TO FINANCIAL STATEMENTS.

                                                         The Fund

FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                                 Year Ended November 30,
                                                         ---------------------------------------------------------------------------

CLASS X SHARES                                               2003           2002           2001           2000          1999(a)
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value, beginning of period                         1.00           1.00           1.00           1.00          1.00

Investment Operations:

Investment income--net                                       .003           .012           .039           .054          .021

Distributions:

Dividends from investment income--net                       (.003)         (.012)         (.039)         (.054)        (.021)

Net asset value, end of period                               1.00           1.00           1.00           1.00          1.00
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                              .32           1.16           3.94           5.49          4.33(b)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                      1.02           1.05           1.05           1.05          1.05(b)

Ratio of net investment income
   to average net assets                                      .34           1.20           4.03           5.43          4.01(b)

Decrease reflected in above expense
   ratios due to undertakings by
   The Dreyfus Corporation                                    .10            .14            .13            .06           .25(b)
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ( $x 1,000)                         128            159            291            478           554

(A) FROM JUNE 1, 1999 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1999.

(B) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.



NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:

General  Money Market Fund, Inc. (the "fund") is registered under the Investment
Company  Act  of  1940,  as  amended  (the  "Act"), as  a  diversified open-end
management  investment  company.  The  fund's investment objective is to provide
investors  with  as  high  a  level  of current income as is consistent with the
preservation  of  capital. The Dreyfus Corporation (the "Manager") serves as the
fund's  investment  adviser. The Manager is a wholly-owned subsidiary of Mellon
Bank, N.A., which is a wholly-owned subsidiary of Mellon Financial Corporation.

Dreyfus  Service  Corporation  (the "Distributor"), a wholly-owned subsidiary of
the  Manager, is the distributor of the fund's shares. The fund is authorized to
issue  25.5  billion  shares of $.001 par value Common Stock. The fund currently
offers  three classes of shares: Class A (15 billion shares authorized), Class B
(10  billion  shares  authorized)  and  Class X (500 million shares authorized).
Class  A,  Class  B  and  Class  X  shares are identical except for the services
offered to and the expenses borne by each class and certain voting rights. Class
A  shares are subject to a Service Plan adopted pursuant to Rule 12b-1 under the
Act,  Class  B  and  Class  X  shares are subject to a Distribution Plan adopted
pursuant to Rule 12b-1 under the Act and Class A, Class B and Class X shares are
subject  to a Shareholder Services Plan. In addition, Class B shares are charged
directly  for  sub-accounting  services provided by Service Agents (a securities
dealer,  financial institution or other industry professional) at an annual rate
of  .05%  of the value of the average daily net assets of Class B shares. During
the  period  ended  November  30,  2003, sub-accounting service fees amounted to
$2,984,636 for Class B shares and are included in shareholder servicing cost.

It  is  the  fund's policy to maintain a continuous net asset value per share of
$1.00; the fund has adopted certain investment, portfolio valuation and dividend
and distribution policies to enable it to do so. There is no assurance, however,
that  the  fund  will  be able to maintain a stable net asset value per share of
$1.00.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

The  fund's  financial  statements  are  prepared in accordance with accounting
principles generally accepted in the United States, which may require the use of
management  estimates  and  assumptions.  Actual results could differ from those
estimates.

(A) PORTFOLIO VALUATION: Investments in securities are valued at amortized cost,
in accordance with Rule 2a-7 of the Act, which has been determined by the fund's
Board of Directors to represent the fair value of the fund's investments.

(B)  SECURITIES  TRANSACTIONS AND INVESTMENT INCOME: Securities transactions are
recorded  on  a  trade  date  basis.  Realized  gain  and  loss  from securities
transactions  are  recorded  on  the  identified  cost  basis.  Interest income,
adjusted for amortization of discount and premium on investments, is earned from
the  settlement  date  and  recognized on the accrual basis. Cost of investments
represents  amortized  cost.  Under the terms of the custody agreement, the fund
receives net earnings credits based on available cash balances left on deposit.

The fund may enter into repurchase agreements with financial institutions deemed
to  be  creditworthy  by  the  Manager,  subject  to  the  seller's agreement to
repurchase  and  the  fund's  agreement to resell such securities at a mutually
agreed  upon  price.  Securities  purchased subject to repurchase agreements are
deposited with the fund's custodian and, pursuant to the terms of the repurchase
agreement,  must  have  an  aggregate  market value greater than or equal to the
repurchase  price  plus  accrued  interest  at  all  times.  If the value of the
underlying securities falls below the value of the repurchase price plus accrued
interest,  the  fund will require the seller to deposit additional collateral by
the  next  business day. If the request for additional collateral is not met, or
the  seller  defaults on its repurchase obligation, the fund maintains the right
to  sell  the  underlying securities at market value and may claim any resulting
loss against the seller.

(C) DIVIDENDS TO SHAREHOLDERS: It is the policy of the fund to declare dividends
from  investment  income-net  on  each  business  day;  such  dividends are paid
monthly.    Dividends    from    net    realized   capital   gain,   if   any,

are  normally declared and paid annually, but the fund may make distributions on
a  more  frequent  basis  to  comply  with  the distribution requirements of the
Internal  Revenue  Code of 1986, as amended (the "Code"). To the extent that net
realized capital gain can be offset by capital loss carryovers, it is the policy
of the fund not to distribute such gain.

(D) FEDERAL INCOME TAXES: It is the policy of the fund to continue to qualify as
a  regulated  investment company, if such qualification is in the best interests
of  its  shareholders,  by complying with the applicable provisions of the Code,
and  to  make  distributions  of  taxable  income  sufficient to relieve it from
substantially all federal income and excise taxes.

At November 30, 2003, the components of accumulated earnings on a tax basis were
substantially the same as for financial reporting purposes.

The  accumulated  capital  loss  carryover of $14,157 is available to be applied
against  future  net securities profits, if any, realized subsequent to November
30,  2003.  If  not  applied, $3,739 of the carryover expires in fiscal 2008 and
$10,418 expires in fiscal 2011.

The  tax character of distributions paid to shareholders during the fiscal years
ended  November  30, 2003 and November 30, 2002, respectively, were all ordinary
income.

At  November  30,  2003, the cost of investments for federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).

NOTE 2--Management Fee and Other Transactions with Affiliates:

(A)  Pursuant  to  a  management  agreement  ("Agreement") with the Manager, the
management  fee  is computed at the annual rate of .50 of 1% of the value of the
fund's  average daily net assets and is payable monthly. The Agreement provides
that if in any full fiscal year the aggregate expenses of the fund, exclusive of
taxes, brokerage fees, interest on borrowings and extraordinary expenses, exceed
1 1/2% of  the  value of the fund's average net assets, the fund may deduct from

                                                                      The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

payments  to  be  made  to  the  Manager,  or the Manager will bear, such excess
expense.  During  the  period  ended  November  30,  2003,  there was no expense
reimbursement pursuant to the Agreement.

(B)  Under the Service Plan with respect to Class A shares (the "Plan"), adopted
pursuant  to  Rule 12b-1 under the Act, Class A shares bear directly the cost of
preparing,  printing  and distributing prospectuses and statements of additional
information  and  implementing and operating the Plan, such aggregate amount not
to  exceed in any fiscal year of the fund, the greater of $100,000 or .005 of 1%
of  the average daily net assets of Class A. In addition, Class A shares pay the
Distributor  for  distributing  their  shares,  servicing  shareholder  accounts
("Servicing") and  advertising  and marketing relating to Class A shares at an
aggregate  annual rate of .20 of 1% of the value of the average daily net assets
of  Class A. The Distributor may pay one or more Service Agents a fee in respect
of  Class  A  shares  owned  by  shareholders  with whom the Service Agent has a
Servicing  relationship or for whom the Service Agent is the dealer or holder of
record.  The  schedule  of  such fees and the basis upon which such fees will be
paid  shall  be  determined from time to time by the Distributor. If a holder of
Class  A  shares ceases to be a client of a Service Agent, but continues to hold
Class  A  shares, the Distributor will be permitted to act as a Service Agent in
respect  of  such  fund  shareholders  and  receive  payments under the Plan for
Servicing.  The  fees payable for Servicing are payable without regard to actual
expenses  incurred.  During  the  period ended November 30, 2003, Class A shares
were charged $2,832,522 pursuant to the Plan.

Under  the  Distribution  Plan  with  respect  to  Class  B  shares  ("Class  B
Distribution Plan") adopted pursuant to Rule 12b-1 under the Act, Class B shares
bear directly the costs of preparing, printing and distributing prospectuses and
statements of additional information and of implementing and operating the Class
B  Distribution  Plan, such aggregate amount not to exceed in any fiscal year of
the  fund  the greater of $100,000 or .005 of 1% of the average daily net assets
of  Class  B. In addition, Class B shares reimburse the Distributor for payments
made  to  third parties for distributing Class B shares at an annual rate not to
exceed .20 of 1% of the value of the average daily net assets of Class B. During
the  period  ended  November  30,  2003, Class B shares were charged $11,998,488
pursuant to the Class B Distribution Plan.

Under  the  Distribution  Plan  with  respect  to Class X ("Class X Distribution
Plan") adopted  pursuant  to  Rule  12b-1 under the Act, Class X shares pay the
Distributor  for  distributing  Class X shares at an annual rate of .25 of 1% of
the  value  of  the average daily net assets of Class X. During the period ended
November  30,  2003,  Class  X  shares were charged $352 pursuant to the Class X
Distribution Plan.

(C)  Under  the  Shareholder  Services  Plan  with  respect to Class A ("Class A
Shareholder  Services Plan"), Class A shares reimburse the Distributor an amount
not  to exceed an annual rate of .25 of 1% of the value of the average daily net
assets  of Class A for certain allocated expenses of providing personal services
and/or  maintaining  shareholder  accounts.  The  services  provided may include
personal   services   relating   to  shareholder  accounts,  such  as  answering
shareholder  inquiries  regarding Class A shares and providing reports and other
information,  and  services  related to the maintenance of shareholder accounts.
During  the period ended November 30, 2003, Class A shares were charged $468,713
pursuant to the Class A Shareholder Services Plan.

Under  the  Shareholder  Services  Plan  with  respect  to  Class  B and Class X
("Shareholder Services Plan"), Class B and Class X shares pay the Distributor at
an  annual  rate  of  .25  of 1% of the value of the average daily net assets of
Class  B  and  Class X for servicing shareholder accounts. The services provided
may  include  personal  services  relating  to  shareholder  accounts,  such  as
answering  shareholder  inquiries  regarding  Class  B  and  Class  X shares and
providing reports and other information, and services related to the maintenance
of  shareholder accounts. The Distributor may make payments to Service Agents in
respect  of these services. The Distributor determines the amounts to be paid to
Service    Agents.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

The  Manager  had undertaken from December 1, 2002 through November 30, 2003, to
reduce  the  expenses  of  Class  B  shares to the extent that, if the aggregate
expenses  of  Class  B  shares,  exclusive of taxes, brokerage fees, interest on
borrowings  and  extraordinary  expenses,  exceed  an  annual rate of 1.01%. The
Manager had undertaken from December 1, 2002 through June 30, 2003, from July 1,
2003  through  July  7, 2003 and from July 8, 2003 through November 30, 2003, to
reduce  the  expenses  of  Class  X  shares to the extent that, if the aggregate
expenses  of  Class  X  shares,  exclusive of taxes, brokerage fees, interest on
borrowings  and extraordinary expenses, exceed an annual rate of 1.05%, .90% and
1.05% , respectively,  of  the  value of the average daily net assets of Class X
shares.  In addition, the Manager may, at times, limit certain money market fund
expenses  in  an  effort to enhance yields of a fund, or a particular class of a
fund,  as  applicable,  because of low interest rates.  Effective July 14, 2003,
the  Manager limited fund expenses on the fund (Class B and Class X) to maintain
a  minimum  yield  of  15  basis points. Such expense limitations are voluntary,
temporary  and  may be revised or terminated at anytime. During the period ended
November  30, 2003, Class B and Class X shares were charged $14,923,182 and $351
respectively,  pursuant  to  the Shareholder Services Plan of which $858,685 and
$137, respectively, were reimbursed by the Manager.

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the fund. During the period
ended  November 30, 2003, the fund was charged $428,423 pursuant to the transfer
agency agreement.

(D)  Each  Board  member also serves as a Board member of other funds within the
Dreyfus  complex. Annual retainer fees and attendance fees are allocated to each
fund based on net assets.


REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Directors General Money Market Fund, Inc.

We  have audited the accompanying statement of assets and liabilities of General
Money  Market Fund, Inc., including the statement of investments, as of November
30,  2003,  and the related statement of operations for the year then ended, the
statement  of changes in net assets for each of the two years in the period then
ended,  and  financial highlights for each of the years indicated therein. These
financial  statements  and  financial  highlights  are the responsibility of the
fund's  management.  Our  responsibility  is  to  express  an  opinion on these
financial statements and financial highlights based on our audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States. Those standards require that we plan and perform the audit
to  obtain  reasonable  assurance  about  whether  the  financial statements and
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  and  financial  highlights.  Our procedures included
confirmation  of securities owned as of November 30, 2003 by correspondence with
the  custodian  and  others.  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
General  Money  Market  Fund,  Inc.  at  November  30,  2003, the results of its
operations  for  the  year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the indicated years, in conformity with accounting principles generally accepted
in the United States.

                                            [ERNST & YOUNG LLP SIGNATURE LOGO]

New York, New York
January 9, 2004

                                                             The Fund


BOARD MEMBERS INFORMATION (Unaudited)

Joseph S. DiMartino (60)

Chairman of the Board (1995)

PRINCIPAL OCCUPATION DURING PAST 5 YEARS:

* Corporate Director and Trustee

OTHER BOARD MEMBERSHIPS AND AFFILIATIONS:

* The Muscular Dystrophy Association, Director

* Levcor International, Inc., an apparel fabric processor, Director

* Century Business Services, Inc., a provider of outsourcing functions for small
and medium size companies, Director

* The Newark Group, a provider of a national market of paper recovery
facilities, paperboard mills and paperboard converting plants, Director

NO. OF PORTFOLIOS FOR WHICH BOARD MEMBER SERVES: 191

                              --------------

Clifford L. Alexander, Jr. (70)

Board Member (1981)

PRINCIPAL OCCUPATION DURING PAST 5 YEARS:

*  President  of  Alexander  & Associates,  Inc.,  a  management consulting firm
(January 1981-present)

* Chairman of the Board of Moody's Corporation (October 2000-October 2003)

* Chairman of the Board and Chief Executive Officer of The Dun and Bradstreet
Corporation (October 1999-September 2000)

OTHER BOARD MEMBERSHIPS AND AFFILIATIONS:

* Wyeth (formerly, American Home Products Corporation), a global leader in
pharmaceuticals, consumer healthcare products and animal health products,
Director

* Mutual of America Life Insurance Company, Director

NO. OF PORTFOLIOS FOR WHICH BOARD MEMBER SERVES: 70

                              --------------

Peggy C. Davis (60)

Board Member (1990)

PRINCIPAL OCCUPATION DURING PAST 5 YEARS:

* Shad Professor of Law, New York University School of Law (1983-present)

* She writes and teaches in the fields of evidence, constitutional theory,
family law, social  sciences and the law, legal process and professional
methodology and training

NO. OF PORTFOLIOS FOR WHICH BOARD MEMBER SERVES: 26


Ernest Kafka (71)

Board Member (1981)

PRINCIPAL OCCUPATION DURING PAST 5 YEARS:

* Physician engaged in private practice specializing in the psychoanalysis of
adults and  adolescents (1962-present)

* Instructor, The New York Psychoanalytic Institute (1981-present)

* Associate Clinical Professor of Psychiatry at Cornell Medical School
(1987-2002)

NO. OF PORTFOLIOS FOR WHICH BOARD MEMBER SERVES: 26

                              --------------

Nathan Leventhal (60)

Board Member (1989)

PRINCIPAL OCCUPATION DURING PAST 5 YEARS:

* Chairman of the Avery-Fisher Artist Program (November 1997-present)

* President of Lincoln Center for the Performing Arts, Inc. (March 1984-December
2000)

OTHER BOARD MEMBERSHIPS AND AFFILIATIONS:

* Movado Group, Inc., Director

NO. OF PORTFOLIOS FOR WHICH BOARD MEMBER SERVES: 26

                              --------------

ONCE ELECTED ALL BOARD MEMBERS SERVE FOR AN INDEFINITE TERM. ADDITIONAL
INFORMATION ABOUT THE BOARD MEMBERS, INCLUDING THEIR ADDRESS IS AVAILABLE IN THE
FUND'S STATEMENT OF ADDITIONAL INFORMATION WHICH CAN BE OBTAINED FROM DREYFUS
FREE OF CHARGE BY CALLING THIS TOLL FREE NUMBER: 1-800-554-4611.

SAUL B. KLAMAN, EMERITUS BOARD MEMBER

                                                             The Fund

OFFICERS OF THE FUND (Unaudited)

STEPHEN E. CANTER, PRESIDENT SINCE MARCH 2000.

     Chairman of the Board, Chief Executive Officer and Chief Operating Officer
of the Manager, and an officer of 95 investment companies (comprised of 186
portfolios) managed by the Manager. Mr. Canter also is a Board member and, where
applicable, an Executive Committee Member of the other investment management
subsidiaries of Mellon Financial Corporation, each of which is an affiliate of
the Manager. He is 58 years old and has been an employee of the Manager since
May 1995.

STEPHEN R. BYERS, EXECUTIVE VICE PRESIDENT SINCE NOVEMBER 2002.

     Chief Investment Officer, Vice Chairman and a Director of the Manager, and
an officer of 95 investment companies (comprised of 186 portfolios) managed by
the Manager. Mr. Byers also is an officer, director or an Executive Committee
Member of certain other investment management subsidiaries of Mellon Financial
Corporation, each of which is an affiliate of the Manager. He is 50 years old
and has been an employee of the Manager since January 2000. Prior to joining the
Manager, he served as an Executive Vice President-Capital Markets, Chief
Financial Officer and Treasurer at Gruntal & Co., L.L.C.

MARK N. JACOBS, VICE PRESIDENT SINCE MARCH 2000.

     Executive Vice President, Secretary and General Counsel of the Manager, and
an officer of 96 investment companies (comprised of 202 portfolios) managed by
the Manager. He is 57 years old and has been an employee of the Manager since
June 1977.

STEVEN F. NEWMAN, SECRETARY SINCE MARCH 2000.

     Associate General Counsel and Assistant Secretary of the Manager, and an
officer of 96 investment companies (comprised of 202 portfolios) managed by the
Manager. He is 54 years old and has been an employee of the Manager since July
1980.

JANETTE E. FARRAGHER, ASSISTANT SECRETARY SINCE MARCH 2000.

     Associate General Counsel of the Manager, and an officer of 15 investment
companies (comprised of 26 portfolios) managed by the Manager. She is 41 years
old and has been an employee of the Manager since February 1984.

MICHAEL A. ROSENBERG, ASSISTANT SECRETARY SINCE MARCH 2000.

     Associate General Counsel of the Manager, and an officer of 93 investment
companies (comprised of 195 portfolios) managed by the Manager. He is 43 years
old and has been an employee of the Manager since October 1991.

JAMES WINDELS, TREASURER SINCE NOVEMBER 2001.

     Director - Mutual Fund Accounting of the Manager, and an officer of 96
investment companies (comprised of 202 portfolios) managed by the Manager. He is
45 years old and has been an employee of the Manager since April 1985.


ROBERT ROBOL, ASSISTANT TREASURER SINCE AUGUST 2003.

     Senior Accounting Manager - Money Market Funds of the Manager, and an
officer of 37 investment companies (comprised of 79 portfolios) managed by the
Manager. He is 39 years old and has been an employee of the Manager since
October 1988.

KENNETH J. SANDGREN, ASSISTANT TREASURER SINCE NOVEMBER 2001.

     Mutual Funds Tax Director of the Manager, and an officer of 96 investment
companies (comprised of 202 portfolios) managed by the Manager. He is 49 years
old and has been an employee of the Manager since June 1993.

WILLIAM GERMENIS, ANTI-MONEY LAUNDERING COMPLIANCE OFFICER SINCE SEPTEMBER 2002

     Vice President and Anti-Money Laundering Compliance Officer of the
Distributor, and the Anti-Money Laundering Compliance Officer of 91 investment
companies (comprised of 197 portfolios) managed by the Manager. He is 33 years
old and has been an employee of the Distributor since October 1998. Prior to
joining the Distributor, he was a Vice President of Compliance Data Center, Inc

                                                             The Fund

                        For More Information

                        General Money
                        Market Fund, Inc.
                        200 Park Avenue
                        New York, NY 10166

                        Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                        Custodian

                        The Bank of New York
                        100 Church Street
                        New York, New York 10286

                        Transfer Agent &
                        Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.
                        200 Park Avenue
                        New York, NY 10166

                        Distributor

                        Dreyfus Service Corporation
                        200 Park Avenue
                        New York, NY 10166

To obtain information:

BY TELEPHONE Call 1-800-645-6561

BY MAIL  Write to:  The Dreyfus Family of Funds 144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request to info@dreyfus.com

ON THE INTERNET  Information can be viewed online or downloaded from:

http://www.dreyfus.com

(c) 2004 Dreyfus Service Corporation                                  196AR1103



ITEM 2.         CODE OF ETHICS.

      The Registrant has adopted a code of ethics that applies to the
Registrant's principal executive officer, principal financial officer, principal
accounting officer or controller, or persons performing similar functions.

ITEM 3.         AUDIT COMMITTEE FINANCIAL EXPERT.

      The Registrant's Board has determined that Joseph S. DiMartino, a member
of the Audit Committee of the Board, is an audit committee financial expert as
defined by the Securities and Exchange Commission (the "SEC"). Mr. DiMartino is
"independent" as defined by the SEC for purposes of audit committee financial
expert determinations.

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 and principal financial officers have
concluded, based on their evaluation of the Registrant's disclosure controls and
procedures as of a date within 90 days of the filing date of this report, that
the Registrant's disclosure controls and procedures are reasonably designed to
ensure that information required to be disclosed by the Registrant on Form N-CSR
is recorded, processed, summarized and reported within the required time periods
and that information required to be disclosed by the Registrant in the reports
that it files or submits on Form N-CSR is accumulated and communicated to the
Registrant's management, including its principal executive and principal
financial officers, as appropriate to allow timely decisions regarding required
disclosure.

(b) There were no changes to the Registrant's internal control over financial
reporting that occurred during the Registrant's most recently ended fiscal
half-year that has materially affected, or is reasonably likely to materially
affect, the Registrant's internal control over financial reporting.

ITEM 10.  EXHIBITS.

(a)(1) Code of ethics referred to in Item 2.

(a)(2) Certifications of principal executive and principal financial officers as
required by Rule 30a-2(a) under the Investment Company Act of 1940.

(b) Certification of principal executive and principal financial officers as
required by Rule 30a-2(b) under the Investment Company Act of 1940.


                                          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.

GENERAL MONEY MARKET FUND, INC.

By:     /S/ STEPHEN E. CANTER
        ----------------------
        Stephen E. Canter
        President

Date:     January 23, 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/ STEPHEN E. CANTER
        ----------------------
        Stephen E. Canter
        Chief Executive Officer

Date:     January 23, 2004

By:     /S/ JAMES WINDELS
        -----------------------
        James Windels
        Chief Financial Officer

Date:     January 23, 2004

                                        EXHIBIT INDEX

      (a)(1) Code of ethics referred to in Item 2.

      (a)(2) Certifications of principal executive and principal financial
      officers as required by Rule 30a-2(a) under the Investment Company Act of
      1940. (EX-99.CERT)

      (b) Certification of principal executive and principal financial officers
      as required by Rule 30a-2(b) under the Investment Company Act of 1940.
      (EX-99.906CERT)