DREYFUS BASIC MONEY MARKET FUND INC
24F-2NT, 1995-04-27
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                     DREYFUS BASIC MONEY MARKET FUND, INC.
                                200 PARK AVENUE
                              NEW YORK, NY  10166




Securities and Exchange Commission
Judiciary Plaza                                    April 27, 1995
450 Fifth Street, NW
Washington, DC  20549


      24f-2 Notice - DREYFUS BASIC MONEY MARKET FUND, INC.
      Registration Statement No. 33-46490 - CIK #0000885409

Gentlemen:

    On May 13, 1992, the Registration Statement of Dreyfus BASIC Money Market
Fund, Inc. was declared effective by the SEC.  The Registration Statement
represented the Fund's election to register an indefinite number of shares and
this Notice, filed pursuant to Rule 24f-2, is for the fiscal year ended
February 28, 1995.

    The following information is furnished:

    (a)   Shares registered under Securities Act
          of 1933 other than pursuant to Rule 24f(2)
          which remained unsold on 3/1/94:                         None


                                                  SHARES        DOLLAR AMOUNT

    (b)   Total number of shares sold during
          fiscal year ended 2/28/95 subject
          to registration under Rule 24f-2:    2,588,359,537   $2,588,359,537

    (c)   Less shares redeemed during
          fiscal year ended 2/28/95:           2,253,594,949    2,253,594,949
                                             --------------    --------------

    Net Sales During Fiscal Year [(b) - (c)]:    334,764,588   $  334,764,588
                                             ==============    ==============

                                   CALCULATION OF FEE

    Net sales dollar amount of $334,764,588 at 1/29 of 1% = $115,436.06.

    Funds in the amount of $115,436.06, representing the registration fee,
were wired to CIK #0000885409 on April 21, 1995.  An opinion of counsel is
enclosed.

                                                   Very truly yours,
JJP/rtj
                                                    /s/John J. Pyburn
                                                    ------------------
                                                    John J. Pyburn,
                                                    Assistant Treasurer
cc:  Mr. J. deMichaelis, SEC
     Ms. R. McLaughlin, E&Y
     Mr. S. Rosenberg, BONY



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