DREYFUS BASIC U S GOVERNMENT MONEY MARKET FUND
N-30D, 1998-11-05
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DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  report the performance for Dreyfus BASIC U.S. Government
Money  Market  Fund  for  the  six-month  period  ended August 31, 1998. For the
period,  your  Fund produced an annualized yield of 5.17% and, after taking into
account the effect of compounding, the annualized effective yield was 5.30%.*

THE ECONOMY

  Having  consistently  viewed  inflation  as  the  primary threat to our strong
growth,  low unemployment economy, the Federal Reserve Board (the "Fed") now has
another  factor  to  ponder  in  setting  monetary  policy:  the  risk of global
recession.  The wave of economic uncertainty that shook stock markets and caused
currencies to devalue, which began in Thailand on July 2, 1997 (the onset of the
Asian  financial  crisis), has spread throughout Asia and around the world. This
financial  tumult has underscored just how economically interrelated the world's
nations are. In fact, the fragility of global financial markets was a key factor
in the Fed's reluctance to raise interest rates in an economy now in its seventh
year  of  economic expansion. It feared that an increase in rates might threaten
the stability of other currencies.

  There  were  additional economic factors that stayed the Fed's hand.
Inflation has remained tame, comfortably below 2% on the consumer level, and is
minimal at the  production  level  of the economy as well. One reason for the
low inflation rate  is  the  strong dollar, which keeps import prices down;
domestic producers are  constrained  from  raising  prices by competition from
lower priced foreign goods.  This has all been good news for consumers, who
account for two thirds of all  economic  activity.  Bolstered  by  solid  wage
gains  and  abundant jobs, consumers  have  been  a  driving  positive force in
the economy. Whether it was housing, automobiles, big ticket or small ticket
items, their spending and their overall  economic optimism both were robust. By
the end of the reporting period, however,  there  were  hints  that this could
change. The political and economic instability  in  Russia jolted the U.S.
stock market in August. The stock market selloff  could cause consumers to grow
less confident and curtail spending, even though the larger-scale economic
fundamentals for consumers remain positive: low inflation and plentiful jobs
(unemployment remains near its 28-year low of 4.5%).

The wave of currency devaluations that began over a year ago in Southeast Asia
has become stronger.  Collapsing currencies, the latest being the Russian
ruble, have triggered often violent reactions in foreign financial markets. The
distantfinancial turmoil has resulted in a reduced demand for U.S. exports, and
has begun to curtail domestic corporate profit growth.  In the second quarter,
profits declined year-over-year for the first time in almost a decade.
Mirroring the slide in corporate profits, industrial production declined in
June and July.  In addition to the profit pinch, second-quarter economic growth
lessened to 1.6%, the slowest rate in three years and dramatically below the
5.5% rate reported for the first quarter.  We remain alert for additional signs
of the domestic effects of global financial problems.

THE MARKET ENVIRONMENT

  The  economic  forces  described above drove down short-term interest rates in
late July and during August, finally pushing them below the narrow band that had
prevailed for many months.

  The  most  notable  result  was  that,  toward the end of the six-month fiscal
period,  the  yield  curve  became  inverted,  with  three-month  Treasury bills
actually yielding more than longer money market maturities.

  The  inverted  yield curve was caused by a flight to quality due to turmoil in
both foreign and domestic financial markets. It also reflected an expectation in
the  market  that the Fed's next move will be to reduce short-term rates, rather
than boost them as had been assumed for more than a year.

<PAGE>


PORTFOLIO FOCUS

In this environment, we have continued to maintain average maturities somewhat
longer  than  the  industry  standard.  This  strategy provided very competitive
yields  for  investors over the reporting period. We will continue this approach
as long as warranted by the market outlook.

               Sincerely,


              [Patricia A. Larkin signature logo]

               Patricia A. Larkin

               Senior Portfolio Manager

September 17, 1998

New York, N.Y.

*Annualized  effective  yield  is  based  upon  dividends  declared  daily  and
reinvested monthly.



<PAGE>
<TABLE>
<CAPTION>

DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                          AUGUST 31, 1998 (UNAUDITED)

                                                                               Annualized
                                                                                Yield on
                                                                                Date of          Principal
U.S. Government Agencies--85.3%                                                 Purchase          Amount             Value
- --------------------------------------------------------------------------   __________      _______________   _______________
<S>                                                                             <C>          <C>                <C>
Federal Farm Credit Banks, Discount Notes

   9/14/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.70%        $       8,700,000  $      8,682,894

   9/15/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.69                25,000,000        24,947,111

   9/17/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.70                11,185,000        11,157,957

   10/5/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.72                 4,380,000         4,357,476

   11/13/98  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.72                10,000,000         9,890,297

   3/12/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.50                 5,000,000         4,861,067

   8/3/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.56                 5,000,000         4,995,844

Federal Farm Credit Banks, Floating Rate Notes

   6/18/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.60 (a)           50,000,000        50,000,000

   6/22/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.54 (a)           40,000,000        39,980,991

   6/23/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.54 (a)           75,000,000        74,964,485

   1/28/00 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.56 (a)           50,000,000        49,983,249

   6/29/00 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.55 (a)           40,000,000        39,979,160

Federal Home Loan Banks, Discount Notes

   10/2/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.64                5,000,000         4,999,652

   1/29/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.42               25,000,000        24,464,583

   3/2/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.51               22,950,000        22,949,204

   3/12/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.57               23,100,000        23,092,405

   3/23/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.48               10,000,000         9,995,718

   4/7/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.65               25,000,000        24,988,055

   6/10/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.59               25,000,000        24,970,834

   6/11/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.61               40,000,000        39,975,848

   7/6/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.45               10,000,000         9,995,528

   7/13/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.59                2,000,000         1,998,969

   7/15/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.50               30,060,000        30,053,354

Federal Home Loan Banks, Floating Rate Notes

   9/8/98  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.80 (a)           10,000,000         9,999,862

   9/24/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.66 (a)           35,000,000        34,999,623

   3/10/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.57 (a)           35,000,000        34,999,271

Federal Home Loan, Notes

   3/12/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.57                5,800,000         5,800,174

   7/23/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.36                5,700,000         5,722,336

Federal Home Loan Mortgage Corp., Discount Notes

   3/12/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.48               10,000,000         9,995,356

Federal National Mortgage Association, Discount Notes

   10/16/98  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.64               45,000,000        44,694,250

   8/4/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.49               10,000,000         9,512,286

   8/9/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.59               25,000,000        24,978,474

   8/20/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.45                8,000,000         7,594,442

Federal National Mortgage Association, Floating Rate Notes

   9/15/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.58 (a)           25,000,000        24,999,249

   1/6/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.61 (a)           50,000,000        49,988,953

   3/16/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.60 (a)           10,000,000         9,993,825

   10/20/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.52 (a)           50,000,000        50,000,000

   1/21/00 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.57 (a)           50,000,000        50,000,000

<PAGE>

DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)              AUGUST 31, 1998 (UNAUDITED)

                                                                               Annualized
                                                                                Yield on
                                                                                 Date of           Principal
U.S. Government Agencies (continued)                                             Purchase           Amount             Value
- ---------------------------------------------------------------------------
                                                                               __________       _______________   _______________

Federal National Mortgage Association, Notes

   7/30/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.39%        $       5,000,000  $       5,014,380

Student Loan Marketing Association, Discount Notes

   2/10/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.37                63,073,000         63,044,478

Student Loan Marketing Association, Floating Rate Notes

   9/16/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.72 (a)            25,000,000        25,000,556

   9/16/98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.83 (a)            25,000,000        24,999,200

Student Loan Marketing Association, Notes

   6/30/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      5.52               15,000,000        15,004,593

                                                                                                                _______________

TOTAL U.S. GOVERNMENT AGENCIES (cost $1,047,625,989) . . . . . . . . . . .                                       $1,047,625,989

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

Repurchase Agreements--13.7%
- ----------------------------------------------

Barclays De Zoette Wedd Securtities, Inc.

  dated 8/31/98, due 9/1/98 in the amount of $18,688,985

  (fully collateralized by $18,445,000 U.S. Treasury

   Notes, 6.75%, due 5/31/99, value $18,961,423) . . . . . . . . . . . . .      5.75%        $      18,686,000  $    18,686,000

Donaldson Lufkin & Jenrette Securities Corp.

  dated 8/31/98, due 9/1/98 in the amount of $74,011,819

  (fully collateralized by $73,834,000 U.S. Treasury

   Notes, 5.875-6.875%, due from 7/31/99-8/31/99, value $74,810,178) . . .      5.75                74,000,000       74,000,000

Morgan Stanley Dean Witter & Co

  dated 8/31/98, due 9/1/98 in the amount of $75,011,979

  (fully collateralized by $76,499,000 U.S. Treasury Notes,

   5.875%, due 2/28/99, value $76,750,475) . . . . . . . . . . . . . . . .      5.75                75,000,000       75,000,000

                                                                                                                _______________

TOTAL REPURCHASE AGREEMENTS (cost $167,686,000). . . . . . . . . . . . . .                                      $   167,686,000

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


TOTAL INVESTMENTS (cost $1,215,311,989). . . . . . . . . . . .        99.0%                                     $ 1,215,311,989

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


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . .         1.0%                                     $    12,617,527

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

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . .       100.0%                                     $ 1,227,929,516

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

Notes to Statement of Investments:
- -----------------------------------------------------------------------------

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

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<PAGE>

<TABLE>
<CAPTION>
DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES               AUGUST 31, 1998 (UNAUDITED)

                                                                                                    Cost            Value
                                                                                              _______________  _______________
<S>                                                                                            <C>               <C>
ASSETS:             Investments in securities--See Statement of Investments

                                   (including Repurchase agreements $167,686,000)
                                   --Note 1(b) . . . . . . . . . . . . . . . . . . . . . .     $1,215,311,989    $1,215,311,989

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            1,129,855

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                           11,870,982

                                                                                                                _______________

                                                                                                                  1,228,312,826

                                                                                                                _______________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              274,454

                                 Accrued expenses and other liabilities  . . . . . . . . .                              108,856

                                                                                                                _______________

                                                                                                                        383,310

                                                                                                                _______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,227,929,516

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

REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                       $1,228,547,747

                                 Accumulated net realized gain (loss) on investments . . .                             (618,231)

                                                                                                                _______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,227,929,516

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

SHARES OUTSTANDING

(unlimited number of $.001 par value shares of Beneficial Interest authorized) . . . . . .                        1,228,547,747

NET ASSET VALUE, offering and redemption price per share . . . . . . . . . . . . . . . . .                               $1.00

                                                                                                                        ======

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<PAGE>
<TABLE>
<CAPTION>

DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS          SIX MONTHS ENDED AUGUST 31, 1998 (UNAUDITED)

INVESTMENT INCOME

<S>                                                                                              <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                          $35,448,867

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . . . . . .       $  3,144,513

                                 Shareholder servicing costs--Note 2(b)  . . . . . . . . .            628,141

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .             51,647

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             41,544

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             22,731

                                 Trustees' fees and expenses--Note 2(c)  . . . . . . . . .             14,139

                                 Prospectus and shareholders' reports  . . . . . . . . . .             14,012

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .              9,955

                                                                                                 ____________

                                        Total Expenses . . . . . . . . . . . . . . . . . .          3,926,682

                                 Less--reduction in management fee due to

                                    undertaking--Note 2(a) . . . . . . . . . . . . . . . .         (1,064,702)

                                                                                                 ____________

                                        Net Expenses . . . . . . . . . . . . . . . . . . .                            2,861,980

                                                                                                                   ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           32,586,887

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . . . . . .                               (1,245)

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                          $32,585,642

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

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<PAGE>
<TABLE>
<CAPTION>

DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                         Six Months Ended
                                                                                         August 31, 1998        Year Ended
                                                                                           (Unaudited)       February 28, 1998
                                                                                        _________________    _________________

OPERATIONS:
  <S>                                                                                    <C>                  <C>

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $     32,586,887     $     70,607,074

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . . . .               (1,245)             (89,610)

                                                                                          _______________      _______________

    Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . . . . .           32,585,642           70,517,464

                                                                                          _______________      _______________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (32,773,430)         (70,420,531)

                                                                                          _______________      _______________

BENEFICIAL INTEREST TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . .          500,128,502        1,279,726,698

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           31,168,574           66,574,075

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (611,827,191)      (1,497,699,684)

                                                                                          _______________      _______________

    Increase (Decrease) in Net Assets from Beneficial Interest Transactions  . . . .          (80,530,115)        (151,398,911)

                                                                                          _______________      _______________

       Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . . . . .          (80,717,903)        (151,301,978)

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,308,647,419        1,459,949,397

                                                                                          _______________      _______________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $1,227,929,516       $1,308,647,419

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


Undistributed investment income--net . . . . . . . . . . . . . . . . . . . . . . . .           --               $      186,543

                                                                                          _______________      _______________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<PAGE>


DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

  Contained  below  is  per  share  operating  performance  data  for a share of
Beneficial  Interest outstanding, total investment return, ratios to average net
assets  and  other supplemental data for each period indicated. This information
has been derived from the Fund's financial statements.
<TABLE>
<CAPTION>


                                                 Six Months Ended
                                                 August 31, 1998                     Fiscal Year Ended February,
                                                                        ___________________________________________________

PER SHARE DATA:                                    (Unaudited)           1998        1997        1996         1995        1994
                                                   __________          ______       ______      ______       ______      ______
<S>                                                   <C>             <C>          <C>         <C>         <C>          <C>

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

                                                       ______          ______       ______      ______       ______      ______

   Investment Operations:

   Investment income--net  . . . . . . . . .             .026            .052         .051        .058        .046         .032

                                                       ______          ______       ______      ______       ______      ______

   Distributions:

   Dividends from investment income--net . .            (.026)          (.052)       (.051)      (.058)       (.046)      (.032)

                                                       ______          ______       ______      ______       ______      ______

   Net asset value, end of period  . . . . .          $  1.00         $  1.00      $  1.00     $  1.00     $  1.00      $  1.00

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


TOTAL INVESTMENT RETURN. . . . . . . . . . .             5.26%*          5.33%        5.20%       5.94%        4.67%       3.30%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets .              .45%*           .45%         .45%        .31%         .17%        .02%

   Ratio of net investment income

       to average net assets . . . . . . . .             5.18%*          5.22%        5.09%       5.79%        5.05%       3.24%

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  .              .17%*           .17%         .20%        .36%         .44%        .64%

   Net Assets, end of period (000's Omitted) . .   $1,227,930      $1,308,647   $1,459,949  $1,366,056   $1,041,722     $265,691
- -----------------------------

*  Annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<PAGE>


DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  BASIC  U.S.  Government  Money Market Fund (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 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. Premier Mutual Fund
Services,  Inc.  is  the distributor of the Fund's shares, which are sold to the
public without a sales charge.

  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 Trustees 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  custodian  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  daily  from  investment  income-net. 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 $566,500
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  February 28, 1998. The
carryover  does not include net realized securities losses from November 1, 1997
through February 28, 1998 which are treated, for Federal income tax purposes, as
arising  in fiscal 1999. If not applied, $200 of the carryover expires in fiscal
2003, $523,000 expires in fiscal 2005 and $43,300 expires in fiscal 2006.

<PAGE>


DREYFUS BASIC U.S. GOVERNMENT MONEY MARKET FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

  At  August  31,  1998, 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 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 payablemonthly. The Manager has undertaken, until such
time as it gives shareholders at least 90 days' notice to the contrary, to
reduce the management fee paid by the Fund, to the extent that the Fund's
aggregate expenses, exclusive of taxes, brokerage, interest on borrowings and
extraordinary expenses, exceed an annual rate of .45 of 1% of the value of the
Fund's average daily net assets.  The reduction in management fee, pursuant to
the undertaking, amounted to $1,064,702 during the period ended August 31,
1998.

  (B)  Under  the Shareholder Services Plan, the Fund reimburses Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the Fund's average daily net assets
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
August  31,  1998,  the  Fund  was  charged $452,488 pursuant to the Shareholder
Services Plan.

  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  August  31,  1998,  the Fund was charged $80,246 pursuant to the transfer
agency agreement.

  (C)  Each  trustee  who  is  not  an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $1,500 and an attendance fee of $250 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

<PAGE>


Dreyfus lion "d" logo                          (reg.tm)

Dreyfus logo                                   (reg.tm)

DREYFUS BASIC U.S. GOVERNMENT

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

90 Washington Street

New York, NY 10286

TRANSFER AGENT &

DIVIDEND DISBURSING AGENT

Dreyfus Transfer, Inc.

P.O. Box 9671

Providence, RI 02940








Printed in U.S.A.                                              124SA988

BASIC

U.S. Government

Money Market Fund

Semi-Annual

Report

August 31, 1998





<PAGE>





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