DREYFUS BASIC MONEY MARKET FUND INC
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 MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are pleased to report the performance for Dreyfus BASIC Money Market Fund,
Inc.  for the 12-month period ended February 28, 1999. For the period, your fund
produced  an annualized yield of 5.08% and, after taking into account the effect
of compounding, an annualized effective yield of 5.20%.*

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.

                Very truly yours,


                [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.



DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                                    FEBRUARY 28, 1999
<TABLE>
                                                                                                  Principal

Negotiable Bank Certificates of Deposit--22.6%                                                     Amount            Value
- -------------------------------------------------------                                        ______________    ______________
<S>                                                                                          <C>               <C>
Abbey National Treasury Service (Yankee)

   5.20%, 12/9/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     15,000,000  $     15,000,000

ABN-AMRO Bank N.V.

   5.01%, 11/17/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        49,986,201

Bank Austria AG

   5.13%, 2/18/2000  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         40,000,000        39,985,047

Bayerische Landesbank

   5.75%, 5/6/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,997,221

Credit Agricole Indosuez S.A. (Yankee)

   4.87%-5.80%, 5/21/1999-5/26/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . .         45,000,000        44,992,340

Credit Suisse

   5%, 3/17/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,001,135

Deutsche Bank AG (Yankee)

   5.14%-5.73%, 3/9/1999-2/22/2000 . . . . . . . . . . . . . . . . . . . . . . . . . . . .         75,000,000        74,985,559

Istituto Bancario San Paolo DiTorino (Yankee)

   5.75%, 7/20/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,994,454

Societe Generale (Yankee)

   5.76%-5.84%, 4/6/1999-5/28/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . .         80,000,000        79,990,582

SwedBank (Yankee)

   5.73%-5.79%, 3/26/1999-6/14/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . .         55,000,000        54,997,684
                                                                                                                _______________

TOTAL NEGOTIABLE BANK CERTIFICATES OF DEPOSIT

   (cost $414,930,223) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                      $   414,930,223
                                                                                                                _______________

Commerical Paper--36.7%
- -------------------------------------------------------

Associated Corp. of North America

   4.80%, 3/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     50,000,000  $     50,000,000

BankAmerica Corp.

   5.10%, 5/13/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,748,049

Canadian Imperial Holdings Inc.

   5.04%, 6/28/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        49,187,660

Chrysler Financial Co. LLC

   4.96%-5.01%, 4/13/1999-4/16/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . .         82,000,000        81,504,019

Den Danske Corp. Inc.

   4.95%, 8/25/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,406,313

Den Norske Bank ASA

   4.89%-4.91%, 7/7/1999-7/14/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . .         70,000,000        68,765,066

Equilon Enterprises LLC

   5.16%, 3/25/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,915,167

Fina Oil & Chemical Co.

   4.98%, 4/12/1999 (b,c)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000         9,942,600

Finova Capital Corp.

   5.39%, 3/19/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         20,000,000        19,947,000

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                        FEBRUARY 28, 1999

                                                                                                  Principal
Commercial Paper (continued)
                                                                                                   Amount            Value
- -------------------------------------------------------                                        ______________    ______________

General Electric Capital Corp.

   5.23%, 3/19/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     15,000,000  $     14,961,450

General Electric Capital Services Inc.

   5%-5.05%, 4/21/1999-5/12/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         35,000,000        34,698,275

Goldman Sachs Group L.P.

   5.01%, 5/28/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000         9,880,222

Hertz Corp.

   4.91%-5.07%, 5/14/1999-6/18/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . .         80,000,000        78,954,289

Lehman Brothers Holdings, Inc.

   5.40%, 8/5/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        48,853,028

Morgan (J.P.) & Co.

   4.91%, 4/21/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        49,660,708

Spintab AB

   5.08%-5.09%, 6/22/1999-6/30/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        49,195,653

Swedbank Inc.

   5.09%, 4/13/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         35,000,000        34,792,644

                                                                                                                _______________

TOTAL COMMERCIAL PAPER

   (cost $674,412,143) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                      $   674,412,143
                                                                                                                _______________

Corporate Notes--19.9%
- -------------------------------------------------------

Bankers Trust N.Y. Co.

   4.87%, 4/9/1999 (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     30,000,000  $     29,998,762

Bear Stearns Companies Inc.

   4.85%-5.02%, 4/16/1999-2/22/2000 (a)  . . . . . . . . . . . . . . . . . . . . . . . . .         46,000,000        46,011,209

CIT Group Holdings, Inc.

   4.88%-4.97%, 9/29/1999-11/2/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . .         70,000,000        69,986,018

Heller Financial Inc.

   5%, 9/8/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         35,000,000        35,000,000

Istituto Bancario San Paolo DiTorino

   4.88%, 4/19/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         50,000,000        49,997,079

Merrill Lynch & Co. Inc.

   4.87%, 4/19/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,000,000

PNC Bank N.A.

   4.86%, 6/11/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         80,000,000        79,984,351

Paine Webber Group Inc.

   4.95%, 4/22/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Salomon Smith Barney Holdings Inc.

   4.86%, 4/19/1999 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         40,000,000        40,000,000
                                                                                                                _______________

TOTAL CORPORATE NOTES

   (cost $365,977,419) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                      $   365,977,419
                                                                                                                _______________

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                        FEBRUARY 28, 1999

                                                                                                  Principal

Promissory Notes--3.8%                                                                             Amount            Value
- -------------------------------------------------------                                        ______________    ______________
Goldman Sachs Group L.P.

  5.06%-5.11%, 7/29/1999-11/9/1999 (b,c)

   (cost $70,000,000)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     70,000,000  $     70,000,000
                                                                                                                _______________

Short-Term Bank Notes--10.7%
- -------------------------------------------------------

Abbey National PLC

   5.80%, 6/11/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  $       5,000,000  $       4,998,930

Bank of America NT & SA

   5.13%, 3/29/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         20,000,000        20,000,000

BankBoston N.A.

   5.64%, 4/16/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,999,459

Key Bank N.A.

   4.92%-5.17%, 10/15/1999-3/24/2000 (a) . . . . . . . . . . . . . . . . . . . . . . . . .         86,000,000        86,007,140

LaSalle National Bank

   5.23%, 3/17/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         35,000,000        35,000,000

South Trust N.A.

   4.86%, 7/6/1999 (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         25,000,000        24,994,905
                                                                                                                _______________

TOTAL SHORT-TERM BANK NOTES

   (cost $196,000,434) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                      $   196,000,434
                                                                                                                _______________


Time Deposits--4.8%
- -------------------------------------------------------

Berliner Handels und Frankforter Bank (Grand Cayman)

   4.85%, 3/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     50,000,000  $     50,000,000

Republic National Bank of New York (London)

   4.81%, 3/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         38,384,000        38,384,000

                                                                                                                _______________

TOTAL TIME DEPOSITS

   (cost $88,384,000)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                     $     88,384,000

                                                                                                                _______________


TOTAL INVESTMENTS (cost $1,809,704,219). . . . . . . . . . . . . . . . . . . . .     98.5%                       $1,809,704,219
                                                                                   _______                      _______________

CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . .      1.5%                     $     27,959,938
                                                                                   _______                      _______________

NET ASSETS     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .    100.0%                       $1,837,664,157
                                                                                   _______                      _______________


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

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

(b)  These notes were acquired for investment, not with the intent to distribute
     or sell.

(c)  Securities restricted as to public resale.  These securities were acquired
     from 11/5/98-2/12/99 at a cost of $9,878,367 for Fina Oil & Chemical Co.
     and $70,000,000 for Goldman Sachs Group L.P.  At February 28,1999, the
     aggregate value of these securities is $79,942,600 representing
     approximately 4.35% of net assets and are valued at amortized cost.


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

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                         FEBRUARY 28, 1999

                                                                                                   Cost             Value
                                                                                              _______________  _______________
<S>                                                                                           <C>                <C>
ASSETS:                          Investments in securities--See Statement of Investments . .  $1,809,704,219     $1,809,704,219

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                           10,345,290

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                           18,485,148

                                                                                                                _______________

                                                                                                                  1,838,534,657

                                                                                                                _______________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              439,664

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                              430,836

                                                                                                                _______________

                                                                                                                        870,500

                                                                                                                _______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,837,664,157

                                                                                                                _______________



REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                       $1,837,774,031

                                 Accumulated undistributed investment income--net  . . . .                              466,281

                                 Accumulated net realized gain (loss) on investments . . .                             (576,155)
                                                                                                                _______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $1,837,664,157
                                                                                                                _______________


SHARES OUTSTANDING

(3 billion shares of $.001 par value Common Stock authorized). . . . . . . . . . . . . . .                        1,837,774,031

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



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

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                          YEAR ENDED FEBRUARY 28, 1999

INVESTMENT INCOME
<S>                                                                                         <C>                   <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                $99,114,363

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . .          $ 8,958,381

                                 Shareholder servicing costs--Note 2(b)  . . . . .            1,055,882

                                 Registration fees . . . . . . . . . . . . . . . .              133,381

                                 Custodian fees  . . . . . . . . . . . . . . . . .              128,192

                                 Professional fees . . . . . . . . . . . . . . . .               48,123

                                 Prospectus and shareholders' reports  . . . . . .               35,099

                                 Directors' fees and expenses--Note 2(c) . . . . .               24,869

                                 Miscellaneous . . . . . . . . . . . . . . . . . .               20,315
                                                                                            ___________

                                           Total Expenses  . . . . . . . . . . . .           10,404,242


                                 Less--reduction in management fee due to
                                    undertaking--Note 2(a) . . . . . . . . . . . .           (2,340,179)
                                                                                            ___________


                                           Net Expenses  . . . . . . . . . . . . .                                  8,064,063
                                                                                                                 ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                 91,050,300

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . .                                    (10,215)
                                                                                                                 ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                $91,040,085
                                                                                                                 ____________

                                                                                                                 ____________

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

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS


                                                                                           Year Ended           Year Ended

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

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $    91,050,300      $    93,230,366

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . .                 (10,215)             (74,821)
                                                                                      __________________   __________________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . .              91,040,085           93,155,545
                                                                                      __________________   __________________


DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .             (90,832,870)         (92,981,515)
                                                                                      __________________   __________________


CAPITAL STOCK TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . .           1,895,302,928        2,048,718,827

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              85,757,851           87,421,489

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . .          (1,868,574,753)      (2,205,335,475)
                                                                                      __________________   __________________

       Increase (Decrease) in Net Assets from Capital Stock Transactions . . . .             112,486,026          (69,195,159)
                                                                                      __________________   __________________

         Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .             112,693,241          (69,021,129)


NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,724,970,916        1,793,992,045
                                                                                      __________________   __________________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $1,837,664,157       $1,724,970,916
                                                                                      __________________   __________________

Undistributed investment income--net . . . . . . . . . . . . . . . . . . . . . .      $          466,281  $           248,851
                                                                                      __________________   __________________






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

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

  Contained  below is per share operating performance data for a share of Common
Stock  outstanding,  total  investment  return, ratios to average net assets and
other  supplemental  data  for  each 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  . . . . . . . . . . . . . . .        .051           .053          .051          .058            .046
                                                              ______         ______        ______        ______          ______

   Distributions:

   Dividends from investment income--net . . . . . . . .       (.051)         (.053)        (.051)        (.058)          (.046)
                                                              ______         ______        ______        ______          ______

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

TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . . .        5.19%          5.38%         5.19%         5.97%           4.73%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . .              45%           .45%          .45%          .31%            .18%

   Ratio of net investment income
     to average net assets . . . . . . . . . . . . . . .        5.08%          5.28%         5.08%         5.82%           4.70%

   Decrease reflected in above expense ratios
     due to undertakings by the Manager  . . . . . . . .         .13%           .24%          .23%          .31%            .46%

   Net Assets, end of period (000's Omitted)   . . . .    $1,837,664     $1,724,971    $1,793,992    $2,098,292      $1,623,242


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  BASIC  Money  Market  Fund, Inc. (the "Fund") is registered under the
Investment  Company  Act  of  1940,  as  amended  (the  "Act"), as a diversified
open-end  management  investment  company. The Fund's investment objective is to
provide  investors  with as high a level of current income as is consistent with
the  preservation  of  capital  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 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  $20,740  during  the  period ended February 28, 1999 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  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 $.0003
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.

  The  Fund  has  an  unused  capital  loss  carryover of approximately $576,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized subsequent to February 28, 1999. If not
applied,  $90,000  of  the carryover expires in fiscal 2002, $126,000 expires in
fiscal  2003,  $57,000  expires in fiscal 2004, $209,000 expires in fiscal 2005,
$84,000 expires in fiscal 2006 and $10,000 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).

DREYFUS BASIC MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

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 annual 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 $2,340,179 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 $550,109 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 $299,201 pursuant to the transfer
agency agreement.

  (C)  Each  director  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 MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF DIRECTORS

DREYFUS BASIC MONEY MARKET FUND, INC.

  We  have  audited  the  accompanying  statement  of  assets and liabilities of
Dreyfus  BASIC  Money Market Fund, Inc., 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.
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  Money Market Fund, Inc. 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


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                                   [reg.tm logo]

                                   (reg.tm)

DREYFUS    BASIC

MONEY MARKET FUND, INC.

200 Park Avenue

New York, NY 10166

MANAGER

The Dreyfus Corporation

200 Park Avenue

New York, NY 10166

CUSTODIAN

The Bank of New York

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.                                              123AR992

BASIC

Money Market

Fund, Inc.

Annual Report

February 28, 1999



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