GENERAL GOVERNMENT SECURITIES MONEY MARKET FUNDS INC
N-30D, 2000-08-07
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General Government
Securities Money
Market Fund

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

                             8   Statement of Assets and Liabilities

                             9   Statement of Operations

                            10   Statement of Changes in Net Assets

                            11   Financial Highlights

                            13   Notes to Financial Statements

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

                                 Back Cover

                                                                       The Fund

                                                  General Government Securities

                                                              Money Market Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this  semiannual  report  for  General Government
Securities  Money  Market  Fund,  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 Government Securities Money Market Fund.

Sincerely,
/s/Stephen E. Canter

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

2


DISCUSSION OF FUND PERFORMANCE

Bernard W. Kiernan, Jr., Portfolio Manager

How did General Government Securities Money Market Fund perform during the
period?

For  the  six-month  period  ended May 31, 2000, the fund produced an annualized
yield of 5.00% for Class A shares and 4.76% for Class B shares. When taking into
account  the  effect  of  compounding, the fund produced an annualized effective
yield of 5.12% for Class A shares and 4.87% for Class B shares.(1)

What is the fund's investment approach?

The  fund  seeks  a  high  level  of  current  income  as  consistent  with  the
preservation of capital and the maintenance of liquidity.

To  pursue this goal, the fund invests in securities issued or guaranteed by the
U.S.  Government  or its agencies or instrumentalities and repurchase agreements
in respect of these securities.

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?

After  the  start  of  the new year, economic data showed that GDP growth in the
fourth  quarter of 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
                                                                      The Fund 3


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

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 interest-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 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 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 4.73% AND AN ANNUALIZED EFFECTIVE NET YIELD OF 4.84%.

                                                             The Fund 5

STATEMENT OF INVESTMENTS

<TABLE>

STATEMENT OF INVESTMENTS

May 31, 2000 (Unaudited)

                                                                                Annualized
                                                                                  Yield on
                                                                                   Date of       Principal
U.S. GOVERNMENT AGENCIES--103.9%                                               Purchase (%)      Amount ($)           Value ($)
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                              <C>              <C>                   <C>

Federal Home Loan Banks, Discount Notes

   6/1/2000                                                                      6.30            77,000,000           77,000,000

   6/23/2000                                                                     6.36            56,352,000           56,133,840

   7/13/2000                                                                     5.50            40,000,000           39,996,603

   7/19/2000                                                                     6.20            25,000,000           24,972,387

   7/28/2000                                                                     5.70            25,000,000           24,786,646

   12/1/2000                                                                     5.86            47,400,000           47,373,693

   1/18/2001                                                                     6.35            25,000,000           24,991,590

Federal Home Loan Banks, Floating Rate Notes

   6/21/2000                                                                     6.60  (a)      100,000,000           99,997,856

   8/11/2000                                                                     6.57  (a)      100,000,000          100,000,000

   10/5/2000                                                                     6.62  (a)       50,000,000           50,000,000

   3/29/2001                                                                     6.52  (a)       50,000,000           49,991,972

   4/6/2001                                                                      6.51  (a)       75,000,000           74,987,638

Federal Home Loan Mortgage Corporation,
   Discount Notes

   6/8/2000                                                                      5.96            25,000,000           24,971,465

   6/13/2000                                                                     5.42            25,000,000           24,957,167

Federal National Mortgage Association,
   Discount Notes

   6/15/2000                                                                     6.04           100,000,000           99,768,612

   8/17/2000                                                                     5.77            20,000,000           19,766,433

   9/21/2000                                                                     6.23           150,000,000          147,179,777

Federal National Mortgage Association,
   Floating Rate Notes

   8/9/2000                                                                      6.67  (a)      100,000,000           99,990,574

   6/7/2001                                                                      6.57  (a)       50,000,000           49,958,545

   11/5/2001                                                                     6.55  (a)      100,000,000           99,958,789

Student Loan Marketing Association,
   Discount Notes

   6/29/2000                                                                     6.36            37,689,000           37,503,738

Student Loan Marketing Association, Notes

   11/1/2000                                                                     5.75             8,654,000            8,657,810

TOTAL U.S. GOVERNMENT AGENCIES
   (cost $1,282,945,135)                                                                                           1,282,945,135


6
                                                                          Annualized
                                                                            Yield on
                                                                             Date of             Principal
REPURCHASE AGREEMENTS--.4%                                               Purchase (%)            Amount ($)            Value ($)
------------------------------------------------------------------------------------------------------------------------------------

Barclays Capital Corp.

  dated 5/31/2000, due 6/1/2000 in the amount

  of $4,654,776 (fully collateralized by

  $4,670,000 U.S. Treasury Notes, 5.375%,

   due 7/31/2000, value $4,750,791)                                              5.65             4,654,000           4,654,000
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $1,287,599,135)                                                               104.3%      1,287,599,135

LIABILITIES, LESS CASH AND RECEIVABLES                                                                 (4.3%)       (52,790,889)

NET ASSETS                                                                                            100.0%      1,234,808,246

(A) THE INTEREST RATE, WHICH WILL CHANGE PERIODICALLY, IS BASED ON THE BANK'S PRIME RATE.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 7

<TABLE>

STATEMENT OF ASSETS AND LIABILITIES

May 31, 2000 (Unaudited)

                                                                                                       Cost                  Value
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                             <C>                      <C>

ASSETS ($):

Investments in securities--See Statement of
   Investments--Note 1(b)                                                                      1,287,599,135          1,287,599,135

Interest receivable                                                                                                       7,644,856

Prepaid expenses and other assets                                                                                            77,983

                                                                                                                      1,295,321,974
------------------------------------------------------------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                                                                               877,938

Cash overdraft due to Custodian                                                                                           9,635,828

Payable for investment securities purchased                                                                              49,958,545

Accrued expenses                                                                                                             41,417

                                                                                                                         60,513,728
------------------------------------------------------------------------------------------------------------------------------------

NET ASSETS ($)                                                                                                         1,234,808,24
------------------------------------------------------------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                                                                        1,235,011,86

Accumulated net realized gain (loss) on investments                                                                        (203,616)
------------------------------------------------------------------------------------------------------------------------------------


NET ASSETS ($)                                                                                                         1,234,808,24
</TABLE>


NET ASSET VALUE PER SHARE

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

Net Assets ($)                                        597,141,765  637,666,481

Shares Outstanding                                    597,293,340  637,718,524
--------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                1.00        1.00

SEE NOTES TO FINANCIAL STATEMENTS.

8

STATEMENT OF OPERATIONS

Six Months Ended May 31, 2000 (Unaudited)

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                     37,524,405

EXPENSES:

Management fee--Note 2(a)                                            3,248,165

Distribution fees--Note 2(b)                                         1,299,266

Shareholder servicing costs--Note 2(c)                               1,112,352

Registration fees                                                       69,491

Custodian fees                                                          53,563

Professional fees                                                       25,455

Directors' fees and expenses--Note 2(d)                                 19,289

Prospectus and shareholders' reports                                    12,866

Miscellaneous                                                            6,899

TOTAL EXPENSES                                                       5,847,346

Less--reduction in Management fee
  due to undertaking--Note 2(a)                                       (107,807)

NET EXPENSES                                                         5,739,539

INVESTMENT INCOME--NET                                              31,784,866
--------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($)                 (19,382)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                31,765,484

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund 9


STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                             May 31, 2000         Year Ended
                                              (Unaudited)  November 30, 1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                         31,784,866           51,765,557

Net realized gain (loss) on investments           (19,382)             (17,123)

NET INCREASE (DECREASE) IN NET ASSETS

   RESULTING FROM OPERATIONS                   31,765,484           51,748,434
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A Shares                               (15,771,484)         (24,572,923)

Class B Shares                               (16,013,382)         (27,192,634)

TOTAL DIVIDENDS                              (31,784,866)         (51,765,557)
--------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold:

Class A Shares                              3,167,893,020        4,892,448,521

Class B Shares                              1,036,703,057        1,874,341,394

Dividends reinvested:

Class A Shares                                 15,455,516           24,329,688

Class B Shares                                 15,246,644           26,105,216

Cost of shares redeemed:

Class A Shares                             (3,196,708,374)      (4,846,137,806)

Class B Shares                             (1,073,458,533)      (1,887,236,183)

INCREASE (DECREASE) IN NET ASSETS FROM
   CAPITAL STOCK TRANSACTIONS                 (34,868,670)          83,850,830

TOTAL INCREASE (DECREASE) IN NET ASSETS       (34,888,052)          83,833,707
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                         1,269,696,298        1,185,862,591

END OF PERIOD                               1,234,808,246        1,269,696,298

SEE NOTES TO FINANCIAL STATEMENTS.

10

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.

<TABLE>

                                            Six Months         Year Ended             Ten Months               Year Ended
                                                 Ended         November 30,              Ended                 January 31,
                                          May 31, 2000       ________________         November 30,       ______________________
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                          .025           .043      .048              .040             .047     .052    .038

Distributions:

Dividends from investment
   income--net                                 (.025)         (.043)    (.048)            (.040)           (.047)   (.052)  (.038)

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

Total Return (%)                               5.05(b)        4.42      4.88              4.84(b)          4.75     5.35     3.90
------------------------------------------------------------------------------------------------------------------------------------

Ratios/Supplemental
   Data (%):

Ratio of expenses to
   average net assets                           .76(b)         .76       .77               .82(b)           .82      .84      .83

Ratio of net investment
   income to average
   net assets                                   5.01(b)       4.35      4.77              4.78(b)          4.65     5.22     3.82
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                               597,142       610,511   539,878           510,289          519,861  530,054  513,345

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

(B) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund 11



FINANCIAL HIGHLIGHTS (CONTINUED)

                                              Six Months          Year Ended            Ten Months           Year Ended
                                                   Ended         November 30,             Ended              January 31,
                                            May 31, 2000       ________________        November 30,      __________________
CLASS B SHARES                               (Unaudited)       1999        1998          1997(a)         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                            .024         .041         .046           .038           .045          .042

Distributions:

Dividends from investment
   income--net                                   (.024)       (.041)       (.046)         (.038)         (.045)        (.042)

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

TOTAL RETURN (%)                                  4.81(c)      4.17         4.66           4.69(c)        4.58          5.04(c)
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL
   DATA (%):

Ratio of expenses to
   average net assets                            1.00(c)       1.00          .97           1.00(c)        1.00          1.00(c)

Ratio of net investment
   income to average
   net assets                                    4.76(c)       4.09         4.55           4.60(c)        4.48          5.01(c)

Decrease reflected in above
   expense ratios due to
   undertakings by
   The Dreyfus Corporation                        .03(c)        .03          .05            .05(c)         .08           .10(c)
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                 637,666      659,185      645,984        364,845         90,175            58

(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>

12

NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

General  Government  Securities  Money  Market  Fund  (the "fund") is a separate
diversified  series  of  General  Government Securities Money Market Funds, Inc.
(the "Company") which is registered under the Investment Company Act of 1940, as
amended  (the  "Act"), as an open-end management investment company and operates
as  a  series  company,  currently  offering two series, including the fund. 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 and the
maintenance  of liquidity. 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. Prior to
March  22,  2000,  Premier Mutual Fund Services, Inc. was the distributor, which
are  sold  to the public without a sales charge. The fund is authorized to issue
16 billion shares of $.001 par value Common Stock. The fund currently offers two
classes of shares: Class A (15 billion shares authorized) and Class B (1 billion
shares  authorized) . Class A shares and Class B 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 shares are subject to a Distribution Plan adopted
pursuant  to  Rule  12b-1  under  the  Act  and, 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.

The  Company  accounts  separately for the assets, liabilities and operations of
each  series.  Expenses directly attributable to each series are charged to that
series'  operations;  expenses  which are applicable to all series are allocated
among them on pro rata basis.

                                                             The Fund 13

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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 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.

14

(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.

The  fund  has  an  unused  capital  loss  carryover  of  approximately $189,000
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,  $19,000  of  the  carryover expires in fiscal 2003, $63,000 expires in
fiscal 2004, $90,000 expires in fiscal 2005 and $17,000 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
                                                                     The Fund 15

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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 an annual
rate  of  1%  of  the  value  of  the fund's average daily net assets of Class B
shares. The reduction in management fee, pursuant to the undertaking amounted to
$107,807 during the period ended May 31, 2000.

(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 costs of
preparing,  printing  and distributing prospectuses and statements of additional
information  and  implementing  and  of operating the Plan. In addition, Class A
shares   pay  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 $628,017 pursuant to the
Plan of which $320,494 was paid to DSC.

     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  directly  bear  the  costs  of  preparing,   printing  and  distributing
prospectuses  and statements of additional  information and of implementing  and
operating the Class B  Distribution  Plan.  In addition,  Class B shares pay the
distributor for distributing Class B shares at an aggregate annual rate of up to
 .20 of 1% of the value of the  average  daily net assets of Class B.  During the
period ended May 31, 2000, Class B shares were charged $671,249  pursuant to the
Class B Distribution Plan, of which $94,915 was paid to DSC.

16

(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  the  fund 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 $59,154 pursuant to the Class A
Shareholder Services Plan.

Under  the  fund's  Shareholder Services  Plan with respect to Class B ("Class B
Shareholder  Services  Plan"), Class  B  shares   pay  the  distributor  for the
provision  of  certain  services  to  the  holders of Class B shares a fee at an
annual  rate  of .25 of 1% of the value of the average daily net assets of Class
B.  The  services provided may include personal services relating to shareholder
accounts,  such  as answering shareholder inquiries regarding Class B 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, Class B shares were
charged  $1,006,874  pursuant to the Class B Shareholder Services Plan, of which
$55,027 was 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 $25,830, pursuant to the transfer
agency agreement.

                                                             The Fund 17

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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

18

NOTES

                                                           For More Information

                        General Government Securities Money Market Fund
                        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, NY 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                                   975SA005



================================================================================

General
Treasury Prime
Money Market Fund

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

                             7   Statement of Assets and Liabilities

                             8   Statement of Operations

                             9   Statement of Changes in Net Assets

                            10   Financial Highlights

                            13   Notes to Financial Statements

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

                                 Back Cover

                                                                       The Fund

                                                         General Treasury Prime

                                                              Money Market Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this semiannual report for General Treasury Prime
Money  Market  Fund, 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  Treasury  Prime  Money Market Fund.

Sincerely,
/s/Stephen E. Canter

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

2


DISCUSSION OF FUND PERFORMANCE

Bernard W. Kiernan, Jr., Portfolio Manager

How did General Treasury Prime Money Market Fund perform during the period?

For  the  six-month  period  ended May 31, 2000, the fund produced an annualized
yield  of 4.79% for Class A shares, 4.58% for Class B shares and 4.53% for Class
X  shares.  Taking  into  account the effect of compounding, the fund created an
annualized effective yield of 4.89% for Class A shares, 4.68% for Class B shares
and    4.62%    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  only  invests  in securities issued or guaranteed as to principal and
interest by the U.S. Government.

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?

After  the  start  of  the new year, economic data showed that GDP growth in the
fourth  quarter of 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.

                                                             The Fund 3


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

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 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 interest-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 rate 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.

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.

4

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. YIELD FIGURES PROVIDED 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. THE ANNUALIZED YIELD AND THE ANNUALIZED
EFFECTIVE YIELD WERE DUE EXCLUSIVELY TO THE APPLICATION OF THIS EXPENSE
ABSORPTION.

                                                             The Fund 5

STATEMENT OF INVESTMENTS

May 31, 2000 (Unaudited)

STATEMENT OF INVESTMENTS

                                                     Principal
U.S. TREASURY BILLS--107.9%                         Amount ($)       Value ($)
--------------------------------------------------------------------------------

   5.53%, 6/22/2000                                  134,000          133,573

   5.70%, 6/29/2000                                   25,000           24,890

   5.66%, 7/6/2000                                   212,000          210,843

   5.61%, 7/13/2000                                  104,000          103,327

   5.65%, 7/20/2000                                   80,000           79,393

   5.82%, 8/3/2000                                    12,000           11,880

   6.05%, 8/10/2000                                   55,000           54,362

   6.07%, 8/17/2000                                   30,000           29,616
--------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $647,884)                                     107.9%         647,884

LIABILITIES, LESS CASH AND RECEIVABLES                  (7.9%)        (47,375)

NET ASSETS                                             100.0%         600,509

SEE NOTES TO FINANCIAL STATEMENTS.

6

STATEMENT OF ASSETS AND LIABILITIES

May 31, 2000 (Unaudited)

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

ASSETS ($):

Investments in securities--See Statement of Investments   647,884      647,884

Prepaid expenses                                                        43,750

                                                                       691,634
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            1,863

Cash overdraft due to Custodian                                             67

Accrued expenses and other liabilities                                  89,195

                                                                        91,125
--------------------------------------------------------------------------------

NET ASSETS ($)                                                         600,509
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                        600,324

Accumulated net realized gain (loss) on investments                        185
--------------------------------------------------------------------------------

NET ASSETS ($)                                                         600,509

<TABLE>

NET ASSET VALUE PER SHARE

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

Net Assets ($)                                                                  1,001  598,508         1,000

Shares Outstanding                                                              1,001  598,323         1,000
-----------------------------------------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                                    1.00     1.00          1.00

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 7


STATEMENT OF OPERATIONS

From December 1, 1999 (commencement of operations) to

May 31, 2000 (Unaudited)

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                         13,018

EXPENSES:

Management fee--Note 2(a)                                                1,145

Registration fees                                                       31,408

Auditing fees                                                           12,842

Prospectus and shareholders' reports                                     2,205

Shareholder servicing costs--Note 2(c)                                     683

Distribution fees--Note 2(b)                                               463

Custodian fees                                                             184

Directors' fees and expenses--Note 2(d)                                     57

Legal fees                                                                  12

Miscellaneous                                                              801

TOTAL EXPENSES                                                          49,800

Less--expense reimbursement from The Dreyfus Corporation
   due to undertaking--Note 2(a)                                       (47,541)

NET EXPENSES                                                             2,259

INVESTMENT INCOME--NET                                                  10,759
--------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($):                    185

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                    10,944

SEE NOTES TO FINANCIAL STATEMENTS.

8

STATEMENT OF CHANGES IN NET ASSETS

From December 1, 1999 (commencement of operations) to

May 31, 2000 (Unaudited)

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

OPERATIONS ($):

Investment income--net                                                  10,759

Net realized gain (loss) on investments                                    185

NET INCREASE (DECREASE) IN NET ASSETS RESULTING FROM OPERATIONS         10,944
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A shares                                                           (924)

Class B shares                                                         (9,397)

Class X shares                                                           (438)

TOTAL DIVIDENDS                                                       (10,759)
--------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold:

Class A shares                                                          41,000

Class B shares                                                       2,258,503

Class X shares                                                          20,978

Dividends reinvested:

Class A shares                                                             781

Class B shares                                                           9,259

Class X shares                                                             391

Cost of shares redeemed:

Class A shares                                                         (40,780)

Class B shares                                                      (1,669,439)

Class X shares                                                         (20,369)

INCREASE (DECREASE) IN NET ASSETS FROM CAPITAL STOCK TRANSACTIONS      600,324

TOTAL INCREASE (DECREASE) IN NET ASSETS                                600,509
--------------------------------------------------------------------------------

NET ASSETS:

Beginning of Period                                                         --

END OF PERIOD                                                          600,509

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund 9


FINANCIAL HIGHLIGHTS (Unaudited)

The  following  tables  describe  the  performance  for each share class for the
period  from  December 1, 1999 (commencement of operations) to May 31, 2000. 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.

CLASS A SHARES
--------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value, beginning of period                                   1.00

Investment Operations:

Investment income--net                                                 .024

Distributions:

Dividends from investment income--net                                 (.024)

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

TOTAL RETURN (%)                                                       4.83(a)
--------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                                 .80(a)

Ratio of net investment income

  to average net assets                                                4.75(a)

Decrease reflected in above expense ratio

  due to undertakings by The Dreyfus Corporation                      20.90(a)
--------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                                     1

(A)  ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

10

CLASS B SHARES
--------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value, beginning of period                                   1.00

Investment Operations:

Investment income--net                                                 .023

Distributions:

Dividends from investment income--net                                 (.023)

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

TOTAL RETURN (%)                                                       4.63(a)
--------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                                1.00(a)

Ratio of net investment income

  to average net assets                                                4.69(a)

Decrease reflected in above expense ratio

  due to undertakings by The Dreyfus Corporation                      20.66(a)
--------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                                   599

(A)  ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund 11

FINANCIAL HIGHLIGHTS (continued)

CLASS X SHARES
--------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value, beginning of period                                   1.00

Investment Operations:

Investment income--net                                                 .023

Distributions:

Dividends from investment income--net                                 (.023)

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

TOTAL RETURN (%)                                                       4.57(a)
--------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                                1.05(a)

Ratio of net investment income

  to average net assets                                                4.49(a)

Decrease reflected in above expense ratio

  due to undertakings by The Dreyfus Corporation                      20.84(a)
--------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                                     1

(A)  ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

12

NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

General  Treasury Prime Money Market Fund (the "fund") is a separate diversified
series of General Government Securities Money Market Funds, Inc.(the "Company"),
which  is  registered under  the Investment Company Act of 1940, as amended (the
"Act"), as  an open-end  management investment company and operates  as a series
company,  currently  offering  two  series,  including  the  fund.  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 and the maintenance of
liquidity.  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
3  billion  shares  of  $.001  par value Common Stock. The fund currently offers
three  classes  of  shares:  Class  A  (1 billion shares authorized), Class B (1
billion  shares  authorized) and Class X (1 billion 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. The funds fiscal year end is November 30,
2000.

                                                             The Fund 13

NOTES TO FINANCIAL STATEMENTS (Unaudited)

The  Company  accounts  separately for the assets, liabilities and operations of
each  series.  Expenses directly attributable to each series are charged to that
series'  operations;  expenses  which are applicable to all series are allocated
among them on pro rata basis.

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 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 received net earnings credits
of  $99  based  on  available cash balances left on deposit. Income earned under
this arrangement is included in interest income.

(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 of 1986, as
amended (the "Code"). To the extent that net realized capital gain can be offset
by  capital  loss  carryovers,  if  any,  it  is  the  policy of the fund not to
distribute such gain.

14

(d) Federal income taxes: It is the policy of the fund 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  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 an annual
rate  of  .80  of 1% for Class A, 1% for Class B and 1.05% for Class X shares of
the  value  of  the  find' s average daily net assets. The expense reimbursement
pursuant to the undertaking, amounted to $4,074 for Class A, $41,436 for Class B
and $2,031 for Class X shares, during the period ended May 31, 2000.

(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
pay    the    distributor    for    distributing
                                                                     The Fund 15

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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 $39 pursuant to the Plan, of which $19 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 $400 and $24, respectively, pursuant to the Class B
and  Class  X  Distribution  Plans,  of  which  $275  and  $12 were paid to DSC,
respectively.

16

(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. 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, $600 and $24 , respectively, were
charged pursuant to the Class B and Class X Shareholder Services Plans, of which
$412 and $12, 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.

                                                             The Fund 17

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

18

NOTES

                                                             The Fund 19



                                                           For More Information

                        General Treasury Prime Money Market Fund
                        200 Park Avenue
                        New York, NY 10166

                        Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                        Custodian

                        Mellon Bank, N.A.
                        One Mellon Bank Center
                        Pittsburgh, PA 15258

                        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                                   387SA005





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