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 - MONEY MARKET 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 - Money Market 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:                976,941,711

    (b) Shares registered during fiscal year
        other than pursuant to Section 24(f)

    Post-Effective Amendment No. 22 effective 5/10/93:            28,870,313
                                                               --------------

    Total of (a) and (b)                                       1,005,812,024
                                                              ===============


                                                  SHARES        DOLLAR AMOUNT

    (c) Total number of shares sold during
        fiscal year ended 12/31/93 subject
        to registration under Rule 24f-2:   5,849,191,027   $5,849,191,027

    (d) Less shares redeemed during
        fiscal year ended 12/31/93:         5,826,609,515    5,826,609,515
                                           --------------   ---------------

    Net Sales During Year [(c) - (d)]:           22,581,512    $   22,581,512
                                            ===============   ================

    Less shares registered other than pur-
    suant to Section 24(f) [(a) + (b)]      1,005,812,024   $1,005,812,024
                                           ---------------  ----------------

    Unsold balance of registered shares      (  983,230,512)  ($  983,230,512)
                                            ===============   ===============

                                           -2-


                                   CALCULATION OF FEE

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


                                                   Very truly yours,

DCM/ems

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



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