GENERAL MONEY MARKET FUND INC
N-30D, 2000-08-07
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General Money
Market Fund, Inc.

SEMIANNUAL REPORT
May 31, 2000

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

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


                                 Contents

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

                             2   Letter from the President

                             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

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

                                 Back Cover

                                                                       The Fund

                                                General Money Market Fund, Inc.

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are pleased to present this semiannual report for General Money Market Fund,
Inc.,  covering the six-month period from December 1, 1999 through May 31, 2000.
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, Jr.

When  the  reporting  period  began,  international  and domestic economies were
growing  at  a  very  strong  pace,  giving  rise  to concerns that long-dormant
inflationary  pressures  might  reemerge.  Consumers continued to spend heavily,
unemployment  levels  reached  new  lows  and  the  stock  market,  while highly
volatile, continued to climb.

Because  robust economic growth may trigger unwanted inflationary pressures, the
Federal  Reserve  Board  raised short-term interest rates three times during the
reporting  period.  In  total,  the  Federal Reserve Board has raised short-term
interest  rates  by  1.75  percentage  points  since late June 1999. While these
economic  influences overall adversely affected long-term bonds, they positively
influenced money market yields.

We  appreciate  your  confidence over the past six months and we look forward to
your   continued   participation   in   General   Money   Market   Fund,   Inc.

Sincerely,
/s/Stephen E. Canter

Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
June 15, 2000




DISCUSSION OF FUND PERFORMANCE

Bernard W. Kiernan, Jr., Portfolio Manager

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

For  the  six-month  period  ended May 31, 2000, the fund produced an annualized
yield  of 5.26% for Class A shares, 5.02% for Class B shares and 4.98% for Class
X  shares.  Taking  into account the effect of compounding, the fund achieved an
annualized effective yield of 5.39% for Class A shares, 5.14% for Class B shares
and    5.09%    for    Class    X    shares.(1)

What is the fund's investment approach?

The  fund  seeks  a  high  level  of  current  income  as is consistent with the
preservation  of  capital and the maintenance of liquidity. 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,  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 factors influenced the fund's performance?

When  the reporting period began, the Federal Reserve Board (the "Fed") opted to
avoid taking any actions at its December meeting in an apparent attempt to quiet
market  concerns  of  potential  Y2K  disruptions.  In  addition,  the Fed added
liquidity to the banking system over year-end, leading to temporary fluctuations
in  short-term  interest  rates.  Despite  this short-lived volatility, very few
significant  Y2K problems were reported. With such concerns behind them, the Fed
--  and the market -- turned their attention back to the central question: Would
strong economic growth ignite inflation?

                                                             The Fund 3


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

After  the start of the new year, economic data showed that GDP growth in fourth
quarter  1999  had  quickened  to  a  stunning 7.3%. The Fed grew concerned that
economic  growth  was  accelerating past a limit that could be sustained without
triggering destructive levels of inflation. As a result, the Fed raised interest
rates  for the fourth time in this cycle of tightening by 0.25 percentage points
in early February and a fifth time in March by 0.25 percentage points.

First  quarter  2000 figures showed GDP growth at a less torrid but still strong
5.4%.  Continuing  indications that prices were moving higher added to the money
market' s  concerns  and  greater  than  expected  domestic demand for goods and
services  continued.  Events  overseas  have also impacted the domestic economy.
Following  the  Asian economic crisis of 1998, demand outside the U.S. weakened,
enabling  the U.S. economy to grow at an unusually fast pace without setting off
inflation.  As  overseas economies recovered, demand for raw materials picked up
as well, putting upward pressure on prices.

In  the  face  of  gradual  and  relatively  mild  interest-rate hikes, consumer
confidence  and consumer demand showed few signs of abating. Home and auto sales
continued  at  record  paces into the second quarter of 2000. The tightest labor
market  the  U.S.  has seen in the past 30 years added the threat of wage-driven
inflationary  pressure.  Such  factors  led the Fed to its largest interest-rate
hike in the current cycle of credit tightening: a 0.50 percentage-point increase
at its May 16th meeting.

There  are  signs  that  the  Fed' s  series of rate hikes has begun to slow the
economy. Retail sales declined in both April and May, housing starts have slowed
dramatically and inflation figures have been lower than market expectations. But
economic  signals  remained contradictory. Market participants seemed to believe
that  not  enough evidence about the economy's direction will be in place by the
Fed' s June 28th meeting to warrant further tightening. More market data will be
available as the August meeting approaches and that in turn may influence future
changes in the Fed's monetary policy.

4

What is the fund's current strategy?

In  anticipation  of  rising  interest  rates throughout the six-month reporting
period,  the  fund adopted a somewhat defensive strategy. Most significantly, we
reduced  the  fund' s  average  maturity  in  order to increase our flexibility.
Shorter  maturities  were  designed  to  help  the  fund  take  advantage of any
potential  opportunities from any additional interest-rate increases, as well as
to protect the fund from potential volatility.

As  of  May  31, 2000, the fund's average maturity remained relatively short. We
will continue to monitor the situation, including the economy and changes in the
Fed' s monetary policy, and we will look to take what we believe are appropriate
actions  in response with respect to the fund's portfolio, including its average
portfolio maturity.

June 15, 2000

(1)  ANNUALIZED 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 THAT MAY BE EXTENDED, TERMINATED OR MODIFIED AT ANY TIME. HAD THESE
EXPENSES NOT BEEN ABSORBED, THE FUND'S CLASS B AND CLASS X SHARES' YIELDS WOULD
HAVE BEEN LOWER. WITHOUT THE FUND'S EXPENSE ABSORPTION, THE FUND'S CLASS B
SHARES WOULD HAVE PRODUCED AN ANNUALIZED NET YIELD OF 5.00% AND AN ANNUALIZED
EFFECTIVE NET YIELD OF 5.12%, AND THE FUND'S CLASS X SHARES WOULD HAVE PRODUCED
AN ANNUALIZED NET YIELD OF 4.92% AND AN ANNUALIZED EFFECTIVE NET YIELD OF 5.04%

                                                             The Fund 5

STATEMENT OF INVESTMENTS

May 31, 2000 (Unaudited)

<TABLE>

STATEMENT OF INVESTMENTS

                                                     Principal
NEGOTIABLE BANK CERTIFICATES OF DEPOSIT--24.7%      Amount ($)               Value ($)
-------------------------------------------------------------------------------------------
<S>                                                   <C>                        <C>

Allfirst Bank

   6.44%, 2/9/2001                                  50,000,000  (a)          49,979,262

Bayerische Hypo Und Vereinsbank (London)

   6.25%, 7/20/2000                                 50,000,000               50,000,670

Cariplo (London)

   6.06%, 6/9/2000                                 100,000,000              100,000,109

Credit Suisse (Yankee)

   6.72%, 6/12/2000                                150,000,000  (a)         150,000,000

Deutsche Bank AG (London)

   6.08%, 6/13/2000                                 80,000,000               80,000,263

First Tennessee Bank

   6.65%, 10/16/2000                               100,000,000  (a)         100,000,000

Merita Bank PLC (Yankee)

   6.61%, 1/22/2001                                 50,000,000               49,984,710

Royal Bank of Canada (Yankee)

   6.58%, 1/16/2001                                 80,000,000               79,975,109

Societe Generale (Yankee)

   6.20%-6.62%, 7/6/2000-1/18/2001                 170,000,000              169,986,472

Svenska Handelsbanken NY (London)

   6.06%, 6/12/2000                                 70,000,000               70,000,211

Toronto Dominion Bank (London)

   6.05%, 6/12/2000                                100,000,000              100,000,301

U.S. Bank N.A. Minneapolis

   6.75%, 3/19/2001                                 50,000,000  (a)          50,000,000

TOTAL NEGOTIABLE BANK CERTIFICATES OF DEPOSIT

   (cost $1,049,927,107)                                                  1,049,927,107
-------------------------------------------------------------------------------------------------

COMMERCIAL PAPER--32.8%
-------------------------------------------------------------------------------------------------

Alcoa Inc.

   6.77%, 8/23/2000                                 50,000,000               49,233,403

Atlantis One Funding

   6.76%, 8/2/2000                                 200,000,000              197,706,000

Donaldson, Lufkin, & Jenrette

   6.27%-6.89%, 6/26/2000-8/24/2000                140,000,000              138,263,048

General Electric Capital Corp.

   6.68%, 8/8/2000-8/9/2000                        200,000,000              197,499,750

HSBC Bank USA, Inc.

   5.99%-6.73%, 8/15/2000-11/6/2000                 75,000,000               74,705,776

Heller Financial Inc.

   6.15%-6.80%, 6/20/2000-8/7/2000                  30,000,000               29,811,631

Lehman Brothers Holdings Inc.

   6.80%-7.40%, 11/20/2000-2/12/2001               120,000,000              116,510,578

6

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

Morgan (J.P.) & Co.

   6.11%, 6/5/2000                                 110,000,000              109,926,056

Morgan Stanley, Dean Witter & Co.

   6.04%-6.20%, 6/5/2000-6/23/2000                 150,000,000              149,747,500

Paine Webber Group Inc.

   6.24%, 1/26/2001                                 25,000,000               25,000,000

Salomon Smith Barney Holdings Inc.

   6.75%, 8/4/2000                                 100,000,000               98,817,778

Spintab AB

   6.02%-6.25%, 6/2/2000-7/20/2000                 207,770,000              207,310,657

TOTAL COMMERCIAL PAPER

   (cost $1,394,532,177)                                                  1,394,532,177
---------------------------------------------------------------------------------------------

BANK NOTES--19.4%
---------------------------------------------------------------------------------------------

Bank Austria AG

   6.46%, 12/11/2000                               100,000,000  (a)          99,963,288

Bank of America N.A.

   6.25%, 7/20/2000                                100,000,000              100,000,000

Bank of Nova Scotia

   6.04%, 11/17/2000                               100,000,000               99,967,678

First Union National Bank

   6.68%, 2/26/2001                                100,000,000  (a)         100,000,000

Fleet National Bank

   6.76%, 7/13/2000                                 50,000,000  (a)          49,997,246

Key Bank N.A.

   6.66%, 5/11/2001-6/1/2001                       200,000,000  (a)         200,000,000

U.S. Bank N.A. Minneapolis

   6.31%-6.79%, 10/2/2000-5/11/2001                126,000,000  (a)         125,957,723

Union Bank California

   6.00%, 8/11/2000                                 50,000,000               50,000,000

TOTAL BANK NOTES

   (cost $825,885,935)                                                      825,885,935
---------------------------------------------------------------------------------------------

CORPORATE NOTES--16.3%
---------------------------------------------------------------------------------------------

Bear Stearns Cos. Inc.

   6.42%, 1/5/2001                                  50,000,000  (a)          50,000,000

GTE Corp.

   6.24%, 6/12/2000                                180,000,000  (a)         179,996,519

Heller Financial Inc.

   6.90%, 8/7/2000                                  93,000,000  (a)          93,000,000

                                                                                                     The Fund 7

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

                                                    Principal
CORPORATE NOTES (CONTINUED)                         Amount ($)              Value ($)
-------------------------------------------------------------------------------------------------

Lehman Brothers Holdings Inc.

   6.64%, 2/27/2001                             35,000,000  (a)              35,078,531

Merrill Lynch & Co. Inc.

   6.58%-6.66%, 6/28/2000-3/28/2001            161,000,000  (a)             160,994,797

Morgan (J.P.) & Co.

   6.67%, 3/6/2001                             100,000,000  (a)              99,992,383

Morgan Stanley, Dean Witter & Co.

   6.67%, 3/19/2001                             41,000,000  (a)              41,000,000

Paine Webber Group Inc.

   6.47%, 10/20/2000                            31,500,000  (a)              31,500,000

TOTAL CORPORATE NOTES

   (cost $691,562,230)                                                      691,562,230
-------------------------------------------------------------------------------------------

PROMISSORY NOTES--4.8%
--------------------------------------------------------------------------------------------

Goldman Sachs Group Inc.

  6.67%-7.06%, 7/17/2000-11/14/2000

   (cost $205,000,000)                         205,000,000  (b,c)           205,000,000
----------------------------------------------------------------------------------------------

TIME DEPOSITS--3.3%
----------------------------------------------------------------------------------------------

Deutsche Bank AG (Grand Cayman)

   6.81%, 6/1/2000                              75,000,000                   75,000,000

HSBC Bank USA (London)

   6.75%, 6/1/2000                               3,800,000                    3,800,000

Wachovia Bank of N.C. (Grand Cayman)

   6.81%, 6/1/2000                              13,000,000                   13,000,000

Westdeutsche Landesbank Gironzentrale (Grand Cayman)

   6.78%, 6/1/2000                              50,000,000                   50,000,000

TOTAL TIME DEPOSITS

   (cost $141,800,000)                                                      141,800,000
-------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $4,308,707,449)                             101.3%               4,308,707,449

LIABILITIES, LESS CASH AND RECEIVABLES                (1.3%)                (55,864,988)

NET ASSETS                                           100.0%               4,252,842,461

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

(B)  THESE NOTES WERE ACQUIRED FOR INVESTMENT, NOT WITH INTENT TO DISTRIBUTE OR
     SELL.

(C)  SECURITIES RESTRICTED AS TO PUBLIC RESALE. THESE SECURITIES WERE ACQUIRED
     FROM 5/9/00-5/18/00 AT A COST OF PAR VALUE. AT MAY 31, 2000, THE AGGREGATE
     VALUE OF THESE SECURITIES IS $205 MILLION REPRESENTING APPROXIMATELY 4.82%
     OF NET ASSETS AND ARE VALUED AT AMORTIZED COST.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

8

STATEMENTS OF ASSETS AND LIABILITIES

May 31, 2000 (Unaudited)

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                         4,308,707,449  4,308,707,44

Cash                                                                 12,633,383

Interest receivable                                                  35,020,613

Prepaid expenses                                                         97,581

                                                                  4,356,459,026
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                         3,382,454

Payable for investment securities purchased                         100,000,000

Accrued expenses                                                        234,111

                                                                    103,616,565
--------------------------------------------------------------------------------

NET ASSETS ($)                                                    4,252,842,461
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                   4,252,939,967

Accumulated net realized gain (loss) on investments                     (97,506)
--------------------------------------------------------------------------------

NET ASSETS ($)                                                    4,252,842,461

<TABLE>

NET ASSET VALUE PER SHARE

                                                                       Class A            Class B           Class X
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                 <C>                    <C>              <C>

Net Assets ($)                                                      892,919,995        3,359,285,480        636,986

Shares Outstanding                                                  892,977,287        3,359,325,689        636,986
------------------------------------------------------------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                             1.00                 1.00            1.00

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 9

STATEMENT OF OPERATIONS

Six Months Ended May 31, 2000 (Unaudited)

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                    126,434,685

EXPENSES:

Management fee--Note 2(a)                                           10,456,918

Shareholder servicing costs--Note 2(c)                               5,275,294

Distribution fees--Note 2(b)                                         4,182,933

Registration fees                                                      127,232

Custodian fees                                                          93,841

Prospectus and shareholders' reports                                    48,420

Professional fees                                                       24,581

Directors' fees and expenses--Note 2(d)                                 20,963

Miscellaneous                                                           19,738

TOTAL EXPENSES                                                      20,249,920

Less-reduction in management fee
  due to undertaking--Note 2(a)                                       (347,735)

NET EXPENSES                                                        19,902,185

INVESTMENT INCOME--NET                                             106,532,500
--------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($):                (13,297)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS               106,519,203

SEE NOTES TO FINANCIAL STATEMENTS.

<TABLE>

10

STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                             May 31, 2000          Year Ended
                                              (Unaudited)          November 30, 1999(a)
------------------------------------------------------------------------------------------
<S>                                           <C>                      <C>

OPERATIONS ($):

Investment income--net                        106,532,500              153,750,017

Net realized gain (loss) on investments           (13,297)                 (15,759)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                  106,519,203              153,734,258
-------------------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A Shares                                (23,947,715)             (38,585,389)

Class B Shares                                (82,567,569)            (115,159,335)

Class X Shares                                    (17,216)                  (5,293)

TOTAL DIVIDENDS                              (106,532,500)            (153,750,017)
----------------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($):

Net proceeds from shares sold:

Class A Shares                              4,861,018,943            6,026,790,463

Class B Shares                              5,692,156,497            8,362,763,082

Class X Shares                                    824,410                1,015,928

Dividends reinvested:

Class A Shares                                 23,492,219               37,933,080

Class B Shares                                 80,467,102              112,244,553

Class X Shares                                     13,950                    2,006

Cost of shares redeemed:

Class A Shares                             (4,855,568,820)          (6,036,445,295)

Class B Shares                             (5,470,171,549)          (7,845,483,988)

Class X Shares                                   (755,588)                (463,720)

INCREASE (DECREASE) IN NET ASSETS FROM
   CAPITAL STOCK TRANSACTIONS                 331,477,164              658,356,109

TOTAL INCREASE (DECREASE) IN NET ASSETS       331,463,867              658,340,350
----------------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                         3,921,378,594            3,263,038,244

END OF PERIOD                               4,252,842,461            3,921,378,594

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

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 11

FINANCIAL HIGHLIGHTS

The  following  tables  describe  the  performance  for each share class for the
fiscal  periods  indicated. Certain 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.

<TABLE>

                                  Six Months Ended                              Ten Months Ended
                                    May 31, 2000      Year Ended November 30,     November 30,           Year Ended January 31,
                                                      ------------------------------------------------------------------------------
CLASS A SHARES                       (Unaudited)       1999             1998          1997(a)         1997         1996       1995
------------------------------------------------------------------------------------------------------------------------------------
<S>                                     <C>            <C>              <C>            <C>             <C>         <C>          <C>

PER SHARE DATA ($):

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

Investment Operations:

Investment income--net                    .026          .044             .049           .041           .047         .053       .037

Distributions:

Dividends from
   investment income--net                (.026)        (.044)           (.049)         (.041)         (.047)       (.053)     (.037)

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

TOTAL RETURN (%)                         5.31(b)       4.53             4.98           4.99(b)        4.81         5.42       3.75
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to
   average net assets                     .78(b)        .78              .77            .88(b)         .84          .86        .94

Ratio of net investment
   income
   to average net assets                 5.26(b)       4.44             4.88           4.89(b)        4.71         5.28       3.68

Decrease reflected in
   above expense ratios
   due to undertakings by
   The Dreyfus Corporation                 --            --               --             --            --           .01        .04
------------------------------------------------------------------------------------------------------------------------------------

Net Assets,
   end of period ($x1,000)            892,920       863,981          835,706        903,313        764,119      654,581    572,116

(A) THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.

(B) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

12


                                  Six Months Ended                              Ten Months Ended
                                    May 31, 2000      Year Ended November 30,     November 30,         Year Ended January 31,
                                                      ------------------------------------------------------------------------------
CLASS B SHARES                       (Unaudited)      1999             1998            1997a           1997           1996(b)
------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

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

Investment Operations:

Investment income--net                     .025        .042             .047             .039           .046             .043

Distributions:

Dividends from
   investment income--net                 (.025)      (.042)           (.047)           (.039)         (.046)           (.043)

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

TOTAL RETURN (%)                           5.07(c)     4.32             4.78             4.83(c)        4.65             5.18(c)
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to
   average net assets                      1.00(c)     1.00             1.00             1.00(c)        1.00             1.00(c)

Ratio of net investment
   income to average
   net assets                              5.03(c)     4.24             4.66             4.78(c)        4.56             5.00(c)

Decrease reflected in
   above expense ratios
   due to undertakings by
   The Dreyfus Corporation                  .02(c)      .03              .06              .05(c)         .07              .07(c)
------------------------------------------------------------------------------------------------------------------------------------

Net Assets,
   end of period
   ($x1,000)                           3,359,285  3,056,844        2,427,332        1,231,132        369,205           50,446

(A) THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.

(B) FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.

(C) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 13

FINANCIAL HIGHLIGHTS (CONTINUED)
<TABLE>

                                               Six Months Ended
                                                   May 31, 2000         Year Ended
CLASS X SHARES                                      (Unaudited)        November 30,
                                                                          1999(a)
------------------------------------------------------------------------------------------
<S>                                                      <C>                <C>

PER SHARE DATA ($):

Net asset value, beginning of period                      1.00              1.00

Investment Operations:

Investment income--net                                     .025              .021

Distributions:

Dividends from investment income--net                     (.025)            (.021)

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

TOTAL RETURN (%)                                           5.03(b)          4.33(b)
-----------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

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

Ratio of net investment income
   to average net assets                                   5.18(b)          4.01(b)

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

Net Assets, end of period ($x1,000)                         637              554

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

(B) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

14

NOTES TO FINANCIAL STATEMENTS (Unaudited)

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 direct subsidiary of Mellon Bank,
N.A., which is a wholly-owned subsidiary of Mellon Financial Corporation.

Effective  March  22,  2000, Dreyfus Service Corporation ("DSC"), a wholly-owned
subsidiary  of  the  Manager, became the distributor of the fund's shares, which
are  sold to the public without a sales charge. Prior to March 22, 2000, Premier
Mutual  Fund Services, Inc. was the distributor. 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 X shares are subject to 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.

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's  financial  statements  are  prepared  in accordance with  generally
accepted   accounting  principles  which  may  require  the  use  of
                                                                     The Fund 15

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

management  estimates  and  assumptions.  Actual results could differ from those
estimates.

(a) Portfolio valuation: Investments in securities 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.
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  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 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.

16

(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.

The fund has an unused capital loss carryover of approximately $84,000 available
for  Federal  income  tax  purposes  to be applied against future net securities
profits,  if  any,  realized  subsequent  to  November 30, 1999. If not applied,
$68,000  of  the  carryover expires in fiscal 2005 and $16,000 expires in fiscal
2007.

At  May  31,  2000,  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
payments  to  be  made  to  the  Manager,  or  the Manager will bear such excess
expense.  The  Manager  had  undertaken  through  May  31,  2000  to  reduce the
management  fee paid by the fund, to the extent that the fund's aggregate annual
expenses  (exclusive  of certain expenses as described above) exceeded as annual
rate of 1% for Class B and 1.05% for Class X of the value of their average daily
net  assets.  The  reduction  in  management  fee,  pursuant  to the undertaking
amounted  to  $347,530  for Class B and $205 for Class X during the period ended
May 31, 2000.

                                                             The Fund 17

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

(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 directly bear the cost of
preparing,  printing  and distributing prospectuses and statements of additional
information and implementing and operating the Plan. In addition, Class A shares
pays  the  distributor  for  distributing their shares and servicing shareholder
accounts  ("Servicing") and advertising and marketing relating to Class A shares
at an aggregate annual rate of up to .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 fund's Board of
Directors.  If  a  holder  of  Class A shares ceases to be a client of a Service
Agent,  but  continues  to hold Class A shares, The Manager will be permitted to
act as a Service Agent in respect of such fund shareholders and receive payments
under the Service Plan for Servicing. The fees payable for Servicing are payable
without  regard  to  actual  expenses  incurred. During the period ended May 31,
2000,  Class  A  shares  were  charged  $907,282  pursuant to the Plan, of which
$473,366 was paid to DSC.

Under  the  Distribution  Plan with respect to Class B shares and Class X shares
("Class B and Class X Distribution Plans"), adopted pursuant to Rule 12b-1 under
the  Act,  Class  B  and  Class  X  shares directly bear the costs of preparing,
printing  and distributing prospectuses and statements of additional information
and of implementing and operating the Class B and Class X Distribution Plans. In
addition,  Class  B  and Class X shares pay the distributor for payments made to
third parties for distributing their shares at an aggregate annual rate of up to
 .20%  of 1% and .25% of 1%, respectively, of the value of  the average daily net
assets of Class B and Class X. During the period ended May 31, 2000, Class B and
Class  X  shares were charged $3,274,822 and $829, respectively, pursuant to the
Class  B  and  Class  X  Distribution  Plans,  of  which  $1,690,202  and  $490,
respectively, were paid to DSC.

18


(c) Under the fund's Shareholder Services Plan with respect to Class A ("Class A
Shareholder  Services  Plan"), Class A shares pay DSC an amount not to exceed an
annual  rate of .25 of 1% of the value of the fund's 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 May 31, 2000, Class A shares were charged $216,144 pursuant to the
Class A Shareholder Services Plan.

Under  the  fund's Shareholder Services Plan with respect to Class B and Class X
("Class  B and Class X Shareholder Services Plans"), Class B and  Class X shares
pay  the  distributor  for  the  provision of certain services to the holders of
Class  B and Class X shares a fee at an annual rate of .25 of 1% of the value of
the  average  daily net assets of Class B and Class X. 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. During the period ended May 31, 2000, $4,912,089 and $829, respectively,
were  charged pursuant to the Class B and Class X Shareholder Services Plans, of
which, $2,535,159 and $499, respectively, were paid to DSC.

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 May 31, 2000, the fund was charged $84,325 pursuant to the transfer agency
agreement.

(d)  Each  Board  member also serves as a Board member of other funds within the
Dreyfus   complex   (collectively,   the  "Fund  Group" ). Effective
                                                                     The Fund 19

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

April  13,  2000, each Board member who is not an "affiliated person" as defined
in the Act receives an annual fee of $50,000 and an attendance fee of $6,500 for
each  meeting attended in person and $500 for telephone meetings. These fees are
allocated  among the funds in the Fund Group. The Chairman of the Board receives
an  additional  25%  of  such  compensation. Prior to April 13, 2000, each Board
member  who  was  not an "affiliated person" as defined in the Act received from
the  fund an annual fee of $2,500 and an attendance fee of $500 per meeting. The
Chairman  of  the Board received an additional 25% of such compensation. Subject
to  the  fund's Director Emeritus Program Guidelines, Emeritus Board members, if
any,  receive  50% of the fund's annual retainer fee and per meeting fee paid at
the time the Board member achieved emeritus status.

20
                                                           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.
                        P.O. Box 9671
                        Providence, RI 02940

                        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 [email protected]

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

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                   196SA005





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