GENERAL MONEY MARKET FUND INC
N-30D, 1994-03-21
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PRESIDENT'S LETTER

Dear Shareholder:

  As the General Money Market Fund ended its fiscal year on January 31,
1994, the yield was 2.53%.  After taking into account the effect of
compounding, the effective yield was 2.56%.asterisk

  The U.S. economy is recovering from the recession at a moderate pace
as all the widely followed economic indicators have begun showing gains
in the past few weeks and months.  Industrial production, retail sales,
auto sales and sales of new and existing homes have all improved from
their recessionary lows.  The unemployment picture has been the laggard
in this recovery, but it continues to improve.

  On February 4, 1994, the apparent strength of the economy caused the
Federal Reserve Board to raise the Federal Funds rate for the first time
in five years from 3.00% to 3.25%.  While it is impossible to predict
the future, the history of the relationship between the business cycle
and short-term interest rates may provide some guidance as to possible
developments over the next year.  The cyclical decline in short-term
interest rates usually stops close to the time when a sustained economic
expansion is under way.

  Given this change in direction by the Federal Reserve Board, we will
continue to monitor closely any crosscurrents in the money markets and
seek to bring you highly competitive returns on your short-term money
market assets.

                            Sincerely,

                            Joseph S. DiMartino
                            President

February 17, 1994
New York, N.Y.

asterisk Effective yield is based upon dividends declared daily and
reinvested monthly.
<TABLE>
<CAPTION>

GENERAL MONEY MARKET FUND, INC.
STATEMENT OF INVESTMENTS                                                                              JANUARY 31, 1994

NEGOTIABLE BANK CERTIFICATES OF DEPOSIT--29.1%                                         PRINCIPAL
                                                                                       AMOUNT             VALUE
                                                                                       -----------        ------------
<S>                                                                                    <C>                <C>
Bayerische Landesbank Girozentrale (Yankee)
  3.51%, 2/1/94 .............................................................          $10,000,000        $ 10,000,000

Chemical Bank (London)
  2.70%, 5/13/94 ............................................................           10,000,000          10,000,000

Credito Italiano (London)
  3.46%, 2/25/94 ............................................................           10,000,000          10,000,064

Industrial Bank of Japan Ltd. (London)
  3.49%, 4/19/94 ............................................................            5,000,000           4,997,823

Industrial Bank of Japan Ltd. (Yankee)
  3.45%-3.60%, 3/2/94-10/12/94 ..............................................           25,000,000          24,999,999

Mitsubishi Bank Ltd. (London)
  3.39%-3.57%, 4/29/94-6/1/94................................................           20,000,000          20,005,897

Mitsubishi Bank Ltd. (Yankee)
  3.41%, 2/10/94.............................................................            5,000,000           5,000,000

NationsBank of North Carolina NA (London)
  3.60%, 4/22/94.............................................................            5,000,000           5,000,000

Norddeutsche Landesbank Girozentrale (London)
  3.54%-3.60%, 2/2/94-2/11/94................................................           22,000,000          21,999,995

Norinchukin Bank (London)
  3.32%, 4/7/94..............................................................            5,000,000           5,000,139

Norinchukin Bank (Yankee)
  3.47%, 4/15/94 ............................................................           10,000,000           9,997,083

Sanwa Bank Ltd. (Yankee)
  3.33%-3.48%, 4/13/94-7/29/94 ..............................................           27,000,000          27,000,960

SwedBank (Yankee)
  3.38%-3.65%, 2/18/94-6/1/94 ...............................................           25,000,000          25,000,000
                                                                                                          ------------
TOTAL NEGOTIABLE BANK CERTIFICATES OF DEPOSIT (cost $179,001,960)............                             $179,001,960
                                                                                                          ============

COMMERCIAL PAPER--32.4%

Bankers Trust New York Corp.
  3.52%-3.59%, 10/3/94-10/7/94...............................................          $30,000,000        $ 29,289,267

Central Hispano North American Capital Corp.
  3.28%-3.32%, 2/22/94-7/13/94...............................................           29,000,000          28,688,968

Den Danske Corp. Inc.
  3.45%-3.54%, 5/9/94-10/4/94 ...............................................           30,000,000          29,506,226

General Motors Acceptance Corp.
  3.29%-3.44%, 2/15/94-5/16/94...............................................           16,000,000          15,898,178

Goldman Sachs Group L.P.
  3.40%-3.43%, 7/1/94-10/17/94 ..............................................           16,000,000          15,677,633

Internationale Nederlanden (U.S.) Funding Corp.
  3.49%, 5/6/94 .............................................................            5,000,000           4,955,611

NationsBank Corp.
  3.47%, 4/15/94 ............................................................            5,000,000           4,965,731

Nordbanken N.A. Inc.
  3.50%, 2/4/94 .............................................................           10,000,000           9,997,133

Paine Webber Group Inc.
  3.29%, 6/13/94 ............................................................           20,000,000          19,761,667

Spintab AB
  3.39%-3.50%, 2/17/94-6/10/94 ..............................................           31,000,000          30,848,406

SwedBank Inc.
  3.47%, 7/6/94 .............................................................           10,000,000           9,853,180
                                                                                                          ------------
TOTAL COMMERCIAL PAPER (cost $199,442,000)...................................                             $199,442,000
                                                                                                          ============

CORPORATE NOTES--21.4%

Bear Stearns Companies Inc.
  3.25%-3.29%, 8/8/94-9/20/94 (a)............................................          $27,000,000        $ 27,000,000

Ford Motor Credit Co.
  3.42%-3.48%, 3/25/94-3/30/94 (a)...........................................           25,000,000          25,114,652

General Motors Acceptance Corp.
  3.70%, 2/7/94-3/1/94 (a)...................................................            9,700,000           9,715,146

Lehman Brothers Holdings Inc.
  3.58%-3.65%, 5/19/94-1/13/95 (a)...........................................           30,000,000          30,000,000

Merrill Lynch & Co. Inc.
  3.15%-3.33%, 2/17/94-10/4/94 (a)...........................................           30,000,000          30,000,000

Westdeutsche Landesbank Girozentrale
  3.79%, 1/11/95 (a).........................................................           10,000,000           9,989,820
                                                                                                          ------------
TOTAL CORPORATE NOTES (cost $131,819,618)....................................                             $131,819,618
                                                                                                          ============

U.S. GOVERNMENT AGENCIES--10.5%

Federal Home Loan Banks, Floating Rate Notes
  3.58%, 1/31/97 (a).........................................................          $15,000,000        $ 15,000,000

Federal National Mortgage Association, Discount Notes
  3.54%, 10/20/94............................................................           20,000,000          19,501,200

Federal National Mortgage Association, Floating Rate Notes
  3.59%, 2/18/97 (a).........................................................           30,000,000          30,000,000
                                                                                                          ------------
TOTAL U.S. GOVERNMENT AGENCIES (cost $64,501,200)............................                             $ 64,501,200
                                                                                                          ============

TIME DEPOSITS--1.9%

Bayerische Vereinsbank AG (Grand Cayman)
  3.12%, 2/1/94..............................................................          $ 8,000,000        $  8,000,000

Republic National Bank of New York (London)
   3.19%, 2/1/94.............................................................            4,010,000           4,010,000
                                                                                                          ------------
TOTAL TIME DEPOSITS (cost $12,010,000).......................................                             $ 12,010,000
                                                                                                          ============

Repurchase Agreements--14.6%                                                           Principal
                                                                                       Amount             Value
                                                                                       -----------        ------------
Kidder, Peabody & Co. Inc., 3.13%
  dated 1/31/94, due 2/1/94 in the amount of $45,003,906
  (fully collateralized by $44,670,000 U.S. Treasury
  Notes 4.25% due 8/31/94, value $45,714,639)................................          $45,000,000        $ 45,000,000

Nikko Securities Co. International Inc., 3.13%
  dated 1/31/94, due 2/1/94 in the amount of $45,003,906
  (fully collateralized by $46,855,000 U.S. Treasury
  Bills due 12/15/94, value $45,481,094).....................................           45,000,000          45,000,000
                                                                                                          ------------
TOTAL REPURCHASE AGREEMENTS (cost $90,000,000)...............................                             $ 90,000,000
                                                                                                          ============

TOTAL INVESTMENTS (cost $676,774,778)........................          109.9%                             $676,774,778
                                                                       ======                             ============

LIABILITIES, LESS CASH AND RECEIVABLES.......................           (9.9%)                            $(60,703,228)
                                                                       ======                             ============

NET ASSETS...................................................          100.0%                             $616,071,550
                                                                       ======                             ============
</TABLE>

NOTE TO STATEMENT OF INVESTMENTS;

(a) Variable interest rate - subject to periodic change.

See notes to financial statements.

<TABLE>
<CAPTION>
GENERAL MONEY MARKET FUND, INC.
STATEMENT OF ASSETS AND LIABILITIES                                                                   JANUARY 31, 1994
<S>                                                                                      <C>              <C>

ASSETS:
  Investments in securities, at value
    (including repurchase agreements of $90,000,000)--Note 1(a,b).....................                    $676,774,778
  Cash................................................................................                       4,329,113
  Interest receivable.................................................................                       4,655,106
  Prepaid expenses....................................................................                         193,976
                                                                                                          ------------
                                                                                                           685,952,973
                                                                                                          ============

LIABILITIES:
  Due to The Dreyfus Corporation......................................................   $   269,754
  Payable for investment securities purchased.........................................    45,000,000
  Payable for Common Stock redeemed...................................................    24,179,547
  Accrued expenses....................................................................       432,122        69,881,423
                                                                                         -----------      ------------
NET ASSETS............................................................................                    $616,071,550
                                                                                                          ============

REPRESENTED BY:
  Paid-in capital.....................................................................                    $616,094,872
  Accumulated net realized (loss) on investments......................................                         (23,322)
                                                                                                          ------------

NET ASSETS at value applicable to 616,094,872 shares outstanding
  (15 billion shares of $.01 par value Common Stock authorized).......................                    $616,071,550
                                                                                                          ============

NET ASSET VALUE, offering and redemption price per share
  ($616,071,550 divide 616,094,872 shares)............................................                           $1.00
                                                                                                                 =====
</TABLE>
<TABLE>


STATEMENT OF OPERATIONS                                                                    YEAR ENDED JANUARY 31, 1994
<S>                                                                                      <C>              <C>

INVESTMENT INCOME:
  INTEREST INCOME.....................................................................                    $ 22,305,340

  EXPENSES:
    Management fee--Note 2(a).........................................................   $ 3,213,934
    Shareholder servicing costs--Note 2(b,c)..........................................     2,593,645
    Custodian fees....................................................................       147,929
    Registration fees.................................................................        57,418
    Professional fees.................................................................        51,037
    Prospectus and shareholders' reports..............................................        41,164
    Directors' fees and expenses--Note 2(d)...........................................        26,987
    Miscellaneous.....................................................................        19,198
                                                                                         -----------
                                                                                           6,151,312
    Less--reduction in shareholder servicing costs due
      to undertaking--Note 2(c).......................................................        97,203
                                                                                         -----------

      TOTAL EXPENSES..................................................................                       6,054,109
                                                                                                          ------------

INVESTMENT INCOME--NET................................................................                      16,251,231
NET REALIZED GAIN ON INVESTMENTS--Note 1(b)...........................................                           8,097
                                                                                                          ------------

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS..................................                    $ 16,259,328
                                                                                                          ============

See notes to financial statements.
</TABLE>
<TABLE>


GENERAL MONEY MARKET FUND, INC.
STATEMENT OF CHANGES IN NET ASSETS


                                                                                       YEAR ENDED JANUARY 31,
                                                                              ----------------------------------------
                                                                                    1993                    1994
                                                                              ---------------          ---------------
<S>                                                                           <C>                      <C>
OPERATIONS:
  Investment income--net............................................          $    23,476,859          $    16,251,231
  Net realized gain (loss) on investments...........................                  (19,364)                   8,097
                                                                              ---------------          ---------------

    NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS............               23,457,495               16,259,328
                                                                              ---------------          ---------------

DIVIDENDS TO SHAREHOLDERS FROM;
  Investment income--net............................................              (23,476,859)            (16,251,231)
                                                                              ---------------          ---------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):
  Net proceeds from shares sold.....................................            4,823,175,331            4,434,832,280
  Dividends reinvested..............................................               22,038,709               15,136,179
  Cost of shares redeemed...........................................           (5,002,099,651)          (4,522,690,497)
                                                                               --------------           --------------

    (DECREASE) IN NET ASSETS FROM CAPITAL STOCK TRANSACTIONS........             (156,885,611)             (72,722,038)
                                                                              ---------------          ---------------

      TOTAL (DECREASE) IN NET ASSETS................................             (156,904,975)             (72,713,941)

NET ASSETS:
  Beginning of year.................................................              845,690,466              688,785,491
                                                                              ---------------          ---------------

  End of year.......................................................          $   688,785,491          $   616,071,550
                                                                              ===============          ===============

See notes to financial statements.

</TABLE>

GENERAL MONEY MARKET FUND, INC.
FINANCIAL HIGHLIGHTS

  Contained below is per share operating performance data for a share of
Common Stock outstanding, total investment return, ratios to average net
assets and other supplemental data for each year indicated. This
information has been derived from information provided in the Fund's
financial statements.

<TABLE>
                                                                                  YEAR ENDED JANUARY 31,
                                                              -------------------------------------------------------
PER SHARE DATA:                                                 1990        1991        1992        1993        1994
                                                              -------     -------     -------     -------     -------
<S>                                                           <C>         <C>         <C>         <C>         <C>
  Net asset value, beginning of year.....................     $ .9999     $1.0000     $1.0000     $1.0000     $1.0000
                                                              -------     -------     -------     -------     -------
  INVESTMENT OPERATIONS:
  Investment income--net.................................       .0846       .0739       .0547       .0321       .0253
  Net realized gain (loss) on investments................       .0001         --          --          --          --
                                                              -------     -------     -------     -------     -------

    TOTAL FROM INVESTMENT OPERATIONS.....................       .0847       .0739       .0547       .0321       .0253
                                                              -------     -------     -------     -------     -------

  DISTRIBUTIONS;

  Dividends from investment income--net..................      (.0846)     (.0739)     (.0547)     (.0321)     (.0253)
                                                              -------     -------     -------     -------     -------

  Net asset value, end of year...........................     $1.0000     $1.0000     $1.0000     $1.0000     $1.0000
                                                              =======     =======     =======     =======     =======

TOTAL INVESTMENT RETURN..................................        8.80%       7.64%       5.61%       3.26%       2.56%
RATIOS/SUPPLEMENTAL DATA:
  Ratio of expenses to average net assets................         .93%        .91%        .92%        .95%        .94%
  Ratio of net investment income to average net assets...        8.43%       7.39%       5.44%       3.22%       2.53%
  Decrease reflected in above expense ratios due to
    undertaking by the Manager...........................         --          --          --          --          .02%

  Net Assets, end of year (000's Omitted)................    $915,548    $677,257    $845,690    $688,785    $616,072
</TABLE>

See notes to financial statements.


GENERAL MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  The Fund is registered under the Investment Company Act of 1940
("Act") as a diversified open-end management investment company. Dreyfus
Service Corporation ("Distributor") acts as the distributor of the
Fund's shares, which are sold to the public without a sales load. The
Distributor is a wholly-owned subsidiary of The Dreyfus Corporation
("Manager").

  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.

  (A) PORTFOLIO VALUATION: Investments are valued at amortized cost,
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 is recognized on the accrual basis. Cost of investments
represents amortized cost.

  The Fund may enter into repurchase agreements with financial
institutions, deemed to be creditworthy by the Fund's 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
custodians 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 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. 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 provisions
available to certain investment companies, as defined in applicable
sections of the Internal Revenue Code, and to make distributions of
taxable income sufficient to relieve it from all, or substantially all,
Federal income taxes.

  The Fund has an unused capital loss carryover of approximately $23,000
available for Federal income tax purposes to be applied against future
net securities profits, if any, realized subsequent to January 31, 1994.
If not applied, the carryover expires in 2002.

  At January 31, 1994, 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
average daily value of the Fund's net assets and is payable monthly. The
Agreement provides for an expense reimbursement from the Manager should
the Fund's aggregate expenses, exclusive of taxes, interest on
borrowings, brokerage commissions and extraordinary expenses, exceed
1-1/2% of the average value of the Fund's net assets for any full fiscal
year. There was no expense reimbursement for the year ended January 31,
1994.

  (B) The Fund has adopted a Service Plan, pursuant to which it has
agreed to reimburse either the Manager or the Distributor for payments
made to a Service Agent (a securities dealer, financial institution, or
other industry professional), at an annual rate of .20 of 1% of the
average daily net asset value of Fund shares owned by clients of the
Service Agent. The rate and basis of such payments may be modified from
time to time by the Fund's Board of Directors. For the year ended
January 31, 1994, such reimbursement amounted to $1,285,333.

  (C) Pursuant to the Fund's Shareholder Services Plan, the Fund
reimburses the Distributor an amount not to exceed an annual rate of .25
of 1% of the value of the Fund's average daily net assets for servicing
shareholder accounts. The services provided may include personal
services relating to shareholder accounts, such as answering shareholder
inquiries regarding the Fund and providing reports and other
information, and services related to the maintenance of shareholder
accounts. During the year ended January 31, 1994, $418,788 was charged
to the Fund pursuant to the Plan, of which $97,203 was waived pursuant
to an undertaking by the Manager.

  (D) Certain officers and directors of the Fund are "affiliated
persons," as defined in the Act, of the Manager and/or the Distributor.
Each director who is not an "affiliated person" receives an annual fee
of $2,500 and an attendance fee of $500 per meeting.

  (E) On December 5, 1993, the Manager entered into an Agreement and
Plan of Merger providing for the merger of the Manager with a subsidiary
of Mellon Bank Corporation ("Mellon").

  Following the merger, it is planned that the Manager will be a direct
subsidiary of Mellon Bank, N.A. Closing of this merger is subject to a
number of contingencies, including the receipt of certain regulatory
approvals and the approvals of the stockholders of the Manager and of
Mellon. The merger is expected to occur in mid-1994, but could occur
later.

  Because the merger will constitute an "assignment" of the Fund's
Management Agreement with the Manager under the Investment Company Act
of 1940, and thus a termination of such Agreement, the Manager will seek
prior approval from the Fund's Board and shareholders.


GENERAL MONEY MARKET FUND, INC.
REPORT OF ERNST & YOUNG, 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 January 31, 1994, 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 generally accepted auditing
standards. 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. Our procedures included
confirmation of securities owned as of January 31, 1994 by
correspondence with the custodians and brokers. 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 January 31,
1994, 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 generally accepted accounting principles.

                               Ernst & Young




New York, New York
March 4, 1994



GENERAL MONEY MARKET FUND, INC.
144 Glenn Curtiss Boulevard, Uniondale, NY 11556

Manager
THE DREYFUS CORPORATION
200 Park Avenue, New York, NY 10166

Distributor
DREYFUS SERVICE CORPORATION
200 Park Avenue, New York, NY 10166

Custodian
THE BANK OF NEW YORK
110 Washington Street, New York, NY 10286

Transfer Agent &
Dividend Disbursing Agent
THE SHAREHOLDER SERVICES GROUP, INC.
P.O. Box 9671, Providence, RI 02940

Further information is contained
in the Prospectus, which must
precede or accompany this report.

Printed in U.S.A.     196AR941


GENERAL
MONEY MARKET
FUND, INC.

(G Logo)

ANNUAL REPORT
January 31, 1994



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