DREYFUS BASIC U S GOVERNMENT MONEY MARKET FUND
N-30D, 1999-04-26
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YEAR 2000 ISSUES (UNAUDITED)

  The  fund  could  be  adversely  affected  if the computer systems used by The
Dreyfus  Corporation  and  the  fund' s  other service providers do not properly
process  and  calculate date-related information from and after January 1, 2000.
The  Dreyfus  Corporation  is working to avoid Year 2000-related problems in its
systems  and  to  obtain  assurances  from other service providers that they are
taking  similar  steps.  In  addition,  issuers  of securities in which the fund
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the fund's investments and its share price.

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  12-month  period ended February 28, 1999. For the
period,  your  fund produced an annualized yield of 4.96% and, after taking into
account the effect of compounding, an annualized effective yield of 5.08%.*

ECONOMIC REVIEW

  The  American  economy  in  the  period  ended  February  28, 1999 had several
persistent themes. These included weakness in the world economy, strength in the
U.S., pervasive disinflation and action by central banks to lower interest rates
in many parts of the world.

  Weakness  in  the  world  economy  started in Asia with economic and financial
stresses  throughout  most  of  that continent. While China was able to generate
economic expansion by government spending, economic declines occurred in most of
the  rest  of Asia. The most severe phase occurred when Asian currencies dropped
and short-term interest rates rose. Tentative signs of a bottoming of the crises
in  Asia  had  emerged  by  the  end  of your fund's fiscal year. However, Latin
America had begun to weaken in the aftermath of Brazilian economic weakness.

   Europe  was  full of optimism about the benefits of currency unification into
the  Euro  as  of  year-end 1998. The reality was that economic growth in Europe
began 1998 at a modest pace and showed signs of stagnation by year-end. Even so,
the new European central bank postponed any reduction in interest rates in early
1999, probably because of a desire to build anti-inflationary credibility.

  The  U.S. economy over the last year grew at an impressively high rate despite
the  economic  weakness  overseas. A major reason for this was that the negative
effects  of  foreign economic weakness on the traditional industrial sector were
offset  by  positive  effects  elsewhere  in  the economy. Low inflation and low
interest rates stimulated the housing and consumer sectors, while the technology
sector continued to expand.

  The  Federal  Reserve  Board  eased  monetary  policy three times beginning on
September  30,  1998,  lowering the Federal Funds rate from 5.50% to 4.75%. This
was  not  because  of  any  shortfall  in U.S. economic growth. Rather, it was a
response  to the financial stresses that started with the Russian default in the
summer  of 1998 and culminated in the liquidity crisis of an overleveraged hedge
fund in the September/October period. Despite widespread fears, the U.S. economy
never did slow. Long-term interest rates declined into early October, when fears
of  financial  crisis,  deflation  and possible economic recession were at their
greatest. However, long-term rates then drifted higher as the financial stresses
eased and the feared economic slowdown did not materialize.

THE MARKET ENVIRONMENT/PORTFOLIO FOCUS

  The  economic  forces described above drove down interest rates in late summer
and  early fall. Later in the year, there was a modest increase in rates. One of
its effects was to change the yield curve back to a more normal pattern in which
longer term yields exceed those of shorter term instruments.

  A  flight  to  safety by global investors was the force that most affected the
U.S.  money  market.  More  recently,  as  the  domestic  economy  continued  to
demonstrate exceptional strength in spite of turmoil abroad, rates edged higher.
One factor affecting the U.S. interest rates has been the rise in interest rates
in  Japan.  This has brought about some repatriation of investment funds to that
country.  In addition, the introduction of the Euro currency at the start of the
new  year,  which was initially well received, put some downward pressure on the
U.S. dollar and, conversely, upward pressure on yields.

  Generally,  the  main influences now on short-term rates seem to be underlying
economic factors rather than the fear that gripped many investors last fall.

  With  the  domestic  economy continuing to expand without visible inflationary
pressures,  the  Federal  Reserve  appears to be in a wait-and-see mode, with no
immediate  plans  for  major policy changes. As long as this scenario continues,
the money market should remain stable.

  Therefore,  in  an attempt to maximize yields, we will continue to maintain an
average portfolio maturity longer than the industry average.

  As  always, we will maintain a close watch on market developments in case some
adjustments are required in our investment strategies.

               Sincerely,


               [Patricia A. Larkin signature]


               Patricia A. Larkin

               Senior Portfolio Manager

March 18, 1999

New York, N.Y.


*Annualized  effective  yield  is  based  upon  dividends  declared  daily  and
reinvested  monthly. There is no assurance that a money market fund will be able
to maintain a stable net asset value of $1.00 per share. Yield fluctuates.


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

 STATEMENT OF INVESTMENTS                                     FEBRUARY 28, 1999


                                                                              Annualized
                                                                               Yield on
                                                                                Date of          Principal
U.S. Government Agencies--98.2%                                                Purchase           Amount            Value
                                                                               ________        ______________    ______________
___________________________________________________________________
<S>                                                                               <C>             <C>           <C>
Federal Farm Credit Banks, Consolidated Systemwide Discount Notes

   3/8/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        5.31%           $54,000,000   $    53,945,715

   3/12/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.50             5,000,000         4,992,040

   7/15/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.90            12,000,000        11,786,480

   8/3/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.56             5,000,000         4,998,083


Federal Farm Credit Banks, Consolidated Systemwide Medium Term Notes (a)

   6/18/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.85            50,000,000        50,000,000

   6/22/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.79            40,000,000        39,992,694

   6/23/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.79            75,000,000        74,986,275

   9/17/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.65           165,000,000       165,000,000

   1/28/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.81            50,000,000        49,989,148

   6/29/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.80            40,000,000        39,984,815


Federal Home Loan Banks, Discount Notes

   3/10/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.57            35,000,000        34,999,965

   3/23/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.57            10,000,000         9,999,536

   4/7/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.59            25,000,000        24,997,973

   6/10/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.62            25,000,000        24,989,554

   6/11/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.62            40,000,000        39,991,295

   7/6/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.45            10,000,000         9,998,156

   7/13/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.56             2,000,000         1,999,561

   7/15/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.50            30,060,000        30,057,149

   2/11/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.97            13,350,000        13,337,655

   2/22/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.97            75,000,000        74,964,249


Federal Home Loan Banks, Floating Rate Notes (a)

   10/15/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.63            25,000,000        25,000,000

   10/29/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.92            20,000,000        20,000,000


Federal Home Loan Banks, Notes

   3/12/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.57             5,800,000         5,800,010

   7/23/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.36             5,700,000         5,709,896

   10/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.81            10,000,000        10,063,158

   1/27/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.81            25,050,000        25,052,734


Federal Home Loan Mortgage Corp., Discount Notes

   3/12/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.57            10,000,000         9,999,734


Federal National Mortgage Association, Discount Notes

   3/16/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.57            10,000,000         9,999,527

   5/10/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.91            20,000,000        19,814,500

   8/4/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.49            10,000,000         9,774,235

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

 STATEMENT OF INVESTMENTS (CONTINUED)                         FEBRUARY 28, 1999


                                                                              Annualized
                                                                               Yield on
                                                                                Date of          Principal
U.S. Government Agencies (continued)                                           Purchase           Amount            Value
                                                                               ________        ______________    ______________
___________________________________________________________________

Federal National Mortgage Association, Discount Notes (continued)

   8/9/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        5.59%       $    25,000,000  $     24,989,868

   8/20/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.45             8,000,000         7,802,393

   2/10/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.90            50,000,000        49,968,010


Federal National Mortgage Association, Floating Rate Notes (a)

   10/20/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.77            50,000,000        50,000,000

   1/21/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.82            50,000,000        50,000,000


Federal National Mortgage Association, Notes

   7/30/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.39             5,000,000         5,006,540

   10/18/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.81            16,200,000        16,290,966


Student Loan Marketing Association, Floating Rate Notes (a)

   10/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4.67            40,000,000        40,000,000


Student Loan Marketing Association, Notes

   6/30/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5.52           15, 000,000        15,001,840
                                                                                                                 ______________


TOTAL U.S. GOVERNMENT AGENCIES (cost $1,161,283,754) . . . . . . . . . . .                                       $1,161,283,754
                                                                                                                 ______________



Repurchase Agreements--.8%

___________________________________________________________________

SBC Warburg Dillon Read

  dated 2/26/1999, due 3/1/1999 in the amount of $9,634,756

  (fully collateralized by $9,948,000 U.S. Treasury Bills,

  due 6/3/1999, value $9,828,555)

   (cost $9,631,000) . . . . . . . . . . . . . . . . . . . . . . . . . . .        4.68%      $      9,631,000  $     9,631,000
                                                                                                                 ______________

TOTAL INVESTMENTS (cost $1,170,914,754). . . . . . . . . . . . . .   99.0%                                       $1,170,914,754
                                                                  ________                                       ______________

CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . .      1.0%                                     $     11,684,038
                                                                  ________                                       ______________

NET ASSETS     . . . . . . . . . . . . . . . . . . . . . . . . .   100.00%                                       $1,182,598,792
                                                                  ________                                       ______________


Notes to Statement of Investments:
___________________________________________________________________________________________________________________

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






                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

STATEMENT OF ASSETS AND LIABILITIES                         FEBRUARY 28, 1999

                                                                                                  Cost              Value
                                                                                              _______________   _______________
<S>                                                                                           <C>                <C>
ASSETS:                          Investments in securities--See Statement of Investments . .  $1,170,914,754     $1,170,914,754

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            2,277,722

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            9,666,023

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               18,584

                                                                                                                _______________

                                                                                                                  1,182,877,083

                                                                                                                _______________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              160,679

                                 Accrued expenses and other liabilities  . . . . . . . . .                              117,612

                                                                                                                _______________

                                                                                                                        278,291

                                                                                                                _______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,182,598,792

                                                                                                                _______________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                       $1,182,932,365

                                 Accumulated undistributed investment income--net  . . . .                              294,741

                                 Accumulated net realized gain (loss) on investments . . .                            (628,314)

                                                                                                                _______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,182,598,792

                                                                                                                _______________


SHARES OUTSTANDING

(UNLIMITED NUMBER OF $.001 PAR VALUE SHARES OF BENEFICIAL INTEREST AUTHORIZED) . . . . . .                        1,182,932,365

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

                                                                                                                         ______



                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

STATEMENT OF OPERATIONS                          YEAR ENDED FEBRUARY 28, 1999
<S>                                                                                         <C>                   <C>
INVESTMENT INCOME

INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                $66,562,158

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . .          $ 6,142,031

                                 Shareholder servicing costs--Note 2(c)  . . . . .            1,091,133

                                 Custodian fees  . . . . . . . . . . . . . . . . .               98,129

                                 Registration fees . . . . . . . . . . . . . . . .               66,660

                                 Professional fees . . . . . . . . . . . . . . . .               48,791

                                 Trustees' fees and expenses--Note 2(c)  . . . . .               27,416

                                 Prospectus and shareholders' reports  . . . . . .               25,260

                                 Miscellaneous . . . . . . . . . . . . . . . . . .               15,442

                                                                                            ___________

                                           Total Expenses  . . . . . . . . . . . .            7,514,862


                                 Less--reduction in management fee due to
                                    undertaking--Note 2(a) . . . . . . . . . . . .           (2,016,617)

                                                                                            ___________


                                           Net Expenses  . . . . . . . . . . . . .                                  5,498,245

                                                                                                                 ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                 61,063,913

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . .                                    (11,328)

                                                                                                                 ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                $61,052,585

                                                                                                                 ____________



                      SEE NOTES TO FINANCIAL STATEMENTS.

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

STATEMENT OF CHANGES IN NET ASSETS


                                                                                          Year Ended           Year Ended

                                                                                       February 28, 1999    February 28, 1998
                                                                                      __________________   __________________
<S>                                                                                      <C>                  <C>
OPERATIONS:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $    61,063,913      $    70,607,074

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . .                 (11,328)             (89,610)

                                                                                      __________________   __________________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . .              61,052,585           70,517,464

                                                                                      __________________   __________________


DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .             (60,955,715)         (70,420,531)

                                                                                      __________________   __________________


BENEFICIAL INTEREST TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . .           1,024,399,996        1,279,726,698

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              57,885,133           66,574,075

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . .          (1,208,430,626)      (1,497,699,684)

                                                                                      __________________   __________________

       Increase (Decrease) in Net Assets from Beneficial Interest Transactions .            (126,145,497)        (151,398,911)

                                                                                      __________________   __________________

         Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .            (126,048,627)        (151,301,978)


NET ASSETS:

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

                                                                                      __________________   __________________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $1,182,598,792       $1,308,647,419
                                                                                      __________________   __________________

UNDISTRIBUTED INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . .     $           294,741  $           186,543

                                                                                      __________________   __________________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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.


                                                                                  Fiscal Year Ended February,
                                                                ____________________________________________________________

PER SHARE DATA:                                                1999           1998           1997           1996         1995
                                                              ______         ______         ______         ______        ______
<S>                                                            <C>            <C>            <C>            <C>           <C>
   Net asset value, beginning of period  . . . . . .           $1.00          $1.00          $1.00          $1.00         $1.00
                                                              ______         ______         ______         ______        ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . .            .049           .052           .051           .058          .046
                                                              ______         ______         ______         ______        ______

   Distributions:

   Dividends from investment income--net . . . . . .           (.049)         (.052)         (.051)         (.058)        (.046)
                                                              ______         ______         ______         ______        ______

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

TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . .            5.06%          5.33%          5.20%          5.94%         4.67%

RATIOS/SUPPLEMENTAL DATA:

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

   Ratio of net investment income
     to average net assets . . . . . . . . . . . . .            4.97%          5.22%          5.09%          5.79%         5.05%

   Decrease reflected in above expense ratios
     due to undertakings by the Manager  . . . . . .             .16%           .17%           .20%           .36%          .44%

   Net Assets, end of period (000's Omitted)   . . .      $1,182,599     $1,308,647     $1,459,949     $1,366,056    $1,041,722



                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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

NOTES TO FINANCIAL STATEMENTS

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 custody agreement, the Fund receives net earnings credits
based on available cash balances left on deposit.

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

  (C)  DIVIDENDS  TO  SHAREHOLDERS:  It  is  the  policy  of the Fund to declare
dividends  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.

  On  March  1,  1999, the Fund declared a cash dividend of approximately $.0002
per  share  from  undistributed  investment income-net which includes investment
income-net for Saturday February 27, 1999 and Sunday February 28, 1999.

  (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.

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

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

  The  Fund  has  an  unused  capital  loss  carryover of approximately $618,500
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  February 28, 1999. The
carryover  does not include net realized securities losses from November 1, 1998
through February 28, 1999 which are treated, for Federal income tax purposes, as
arising  in fiscal 2000. If not applied, $200 of the carryover expires in fiscal
2003,  $523,000  expires  in  fiscal  2005,  $43,300  expires in fiscal 2006 and
$52,000 expires in fiscal 2007.

  At  February 28, 1999, 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 payable monthly. 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  $2,016,617 during the period ended February 28,
1999.

  (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
February  28,  1999,  the  Fund was charged $767,174 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  February 28, 1999, the Fund was charged $155,173 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.


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

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

Shareholders and Board of Trustees

Dreyfus BASIC U.S. Government Money Market Fund

  We  have  audited  the  accompanying  statement  of  assets and liabilities of
Dreyfus  BASIC  U.S.  Government  Money  Market Fund, including the statement of
investments,  as  of  February 28, 1999, and the related statement of operations
for  the year then ended, the statement of changes in net assets for each of the
two  years  in  the  period then ended, and financial highlights for each of the
years indicated therein. These financial statements and financial highlights are
the responsibility of the Fund's management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

  We  conducted  our  audits  in  accordance  with  generally  accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included confirmation of
securities  owned  as  of February 28, 1999 by correspondence with the custodian
and brokers. An audit also includes assessing the accounting principles used and
significant  estimates  made  by  management,  as well as evaluating the overall
financial   statement  presentation.  We  believe  that  our  audits  provide  a
reasonable basis for our opinion.

  In  our opinion, the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus  BASIC  U.S.  Government  Money  Market  Fund  at February 28, 1999, the
results of its operations for the year then ended, the changes in its net assets
for each of the two years in the period then ended, and the financial highlights
for  each  of  the  indicated  years,  in  conformity  with  generally  accepted
accounting principles.





New York, New York

March 30, 1999


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

IMPORTANT TAX INFORMATION (UNAUDITED)

For state individual income tax purposes, the Fund hereby designates 62.06% of
the  ordinary  income  dividends  paid during its fiscal year ended February 28,
1999  as  attributable  to interest income from direct obligations of the United
States.  Such dividends are currently exempt from taxation for individual income
tax  purposes in most states, including New York, California and the District of
Columbia.

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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.                                              124AR992

BASIC

U.S. Government

Money Market Fund

Annual Report

February 28, 1999



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