DREYFUS INSTITUTIONAL MONEY MARKET FUND INC
24F-2NT, 1994-02-04
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                    DREYFUS INSTITUTIONAL MONEY MARKET FUND
                                200 PARK AVENUE
                              NEW YORK, NY  10166



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


    DREYFUS INSTITUTIONAL MONEY MARKET FUND - GOVERNMENT SECURITIES SERIES
    24f-2 Notice - Registration Statement No. 2-67061 - CIK #0000315783

Gentlemen:

    On April 8, 1980, the Registration Statement of Dreyfus Institutional
Money Market Fund - Government Securities Series was declared effective by the
SEC.  The Amendment 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 December 31, 1993.

    The following information is furnished:

    (a) Shares registered under Securities Act
        of 1933 other than pursuant to Rule 24f(2)
        which remained unsold on January 1, 1993:                884,426,114


                                                  SHARES        DOLLAR AMOUNT

    (b) Total number of shares sold during
        fiscal year ended 12/31/93 subject
        to registration under Rule 24f-2:     695,721,400     $695,721,400

    (c) Less shares redeemed during
        fiscal year ended 12/31/93:           754,181,180      754,181,180
                                             -------------    -------------

    Net Sales During Year [(b) - (c)]:         ( 58,459,780)    ($ 58,459,780)
                                             =============      ==============

    Less shares registered other
    than pursuant to Section 24(f)            884,426,114      884,426,114
                                             -------------    --------------

    Unsold balance of registered shares        (942,885,894)    ($942,885,894)
                                             =============      ==============


                                   CALCULATION OF FEE

    Since the shares redeemed exceed the shares sold, no registration fee is
required.  An opinion of counsel is enclosed.


DCM/ems                                            Very truly yours,

cc:  Mr. J. deMichaelis, SEC
     Ms. R. McLaughlin, E&Y                        Daniel C. Maclean,
     Mr. S. Rosenberg, BONY                        Secretary


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