OPPENHEIMER MONEY MARKET FUND INC
485B24E, 1996-03-22
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                                                   Registration No. 2-49887
                                                  File No. 811-2454

                    SECURITIES AND EXCHANGE COMMISSION
                           WASHINGTON, DC. 20549
                                 FORM N-1A

REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933                 /X/

     PRE-EFFECTIVE AMENDMENT NO. __                                     / /

     POST-EFFECTIVE AMENDMENT NO. 55                                    /X/

                                  and/or

REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT 
  OF 1940                                                               / /

     AMENDMENT NO.__                                                    / /

                    OPPENHEIMER MONEY MARKET FUND, INC.
- -------------------------------------------------------------------
            (Exact Name of Registrant as Specified in Charter)

             3410 South Galena Street, Denver, Colorado 80231
- -------------------------------------------------------------------
                 (Address of Principal Executive Offices)

                              1-303-671-3200
- ------------------------------------------------------------------
                      (Registrant's Telephone Number)

                          ANDREW J. DONOHUE, ESQ.
                          OppenheimerFunds, Inc.
           Two World Trade Center, New York, New York 10048-0203
- ------------------------------------------------------------------
                  (Name and Address of Agent for Service)

It is proposed that this filing will become effective (check
appropriate box):

   /X/ immediately upon filing pursuant to paragraph (b)

   / / on __________, pursuant to paragraph (b)

   / / 60 days after filing pursuant to paragraph (a)(1)

   / / on ________, pursuant to paragraph (a)(1)

   / / 75 days after filing, pursuant to paragraph (a)(2)

   / / on _______________, pursuant to paragraph (a)(2) of Rule 485
- -------------------------------------------------------------------
The Registrant has registered an indefinite number of shares under
the Securities Act of 1933 pursuant to Rule 24f-2 promulgated under
the Investment Company Act of 1940.  A Rule 24f-2 Notice for the
Registrant's fiscal year ended December 31, 1995 was filed on
February 28, 1996.

<PAGE>

                    SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C.


For the registration under the Securities Act of 1933 of shares of
Oppenheimer Money Market Fund, Inc., an open-end management
investment company.

A. Title and amount of shares being registered (number of shares
   or other units):

       Additional 111,356,422 Class A shares of beneficial
       interest of Oppenheimer Money Market Fund, Inc.

B. Proposed aggregate offering price to the public of the shares
   being registered:

       $111,356,422 based upon the offering price of $1.00 per
       Class A share at March 8, 1996(1).

C. Amount of filing fee pursuant to Rule 24e-2:

       $100



_______________

(1)The calculation of the maximum aggregate offering price is made
pursuant to Rule 24e-2 of the Investment Company Act of 1940.  The
total number of Class A shares sold during the previous fiscal year
of the Fund ended December 31, 1995 was 1,815,174,381.  No redeemed
or repurchased shares have been used for reductions pursuant to
paragraph (a) of Rule 24e-2 in any previous filing of
Post-Effective Amendments during the current fiscal year;
1,926,240,803 shares were used for reductions pursuant to paragraph
(c) of Rule 24f-2.  The amount of redeemed or repurchased shares
being used for such reduction in this amendment is 111,066,422.


<PAGE>

                                SIGNATURES

Pursuant to the requirements of the Securities Act of 1933 and/or
the Investment Company Act of 1940, the Registrant certifies that
it meets all the requirements for effectiveness of this
Registration Statement pursuant to Rule 485(b) under the Securities
Act of 1933 and has duly caused this Registration Statement to be
signed on its behalf by the undersigned, thereunto duly authorized,
in the City of New York and State of New York on the 20th day of
March, 1996.

                         OPPENHEIMER MONEY MARKET FUND, INC.

                         By: /s/ Leon Levy*
                         -----------------------------------
                         Leon Levy, Chairman

Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed below by the following
persons in the capacities on the dates indicated:

Signatures                 Title               Date
- ----------                 -----               ----

/s/ Leon Levy*             Chairman of the
- --------------             Board of Trustees   March 20, 1996
Leon Levy

/s/ Donald W. Spiro*       Chief Executive
- --------------------       Officer and
Donald W. Spiro            Trustee             March 20, 1996

/s/ George Bowen*          Chief Financial
- -----------------          and Accounting
George Bowen               Officer             March 20, 1996

/s/ Robert G. Galli*       Trustee             March 20, 1996
- -------------------
Robert G. Galli

/s/ Benjamin Lipstein*     Trustee             March 20, 1996
- ----------------------
Benjamin Lipstein

/s/ Bridget A. Macaskill    President & Trustee     March 20, 1996
- ------------------------
Bridget A. Macaskill

/s/ Elizabeth B. Moynihan* Trustee             March 20, 1996
- --------------------------
Elizabeth B. Moynihan

/s/ Kenneth A. Randall*    Trustee             March 20, 1996
- -----------------------
Kenneth A. Randall

/s/ Edward V. Regan*       Trustee             March 20, 1996
- --------------------
Edward V. Regan

/s/ Russell S. Reynolds, Jr.*                  Trustee   March 20, 1996
- -----------------------------
Russell S. Reynolds, Jr.

/s/ Sidney M. Robbins*     Trustee             March 20, 1996
- ----------------------
Sidney M. Robbins

/s/ Pauline Trigere*       Trustee             March 20, 1996
- --------------------
Pauline Trigere

/s/ Clayton K. Yeutter*    Trustee             March 20, 1996
- -----------------------
Clayton K. Yeutter



*By: /s/ Robert G. Zack
 --------------------------------
 Robert G. Zack, Attorney-in-Fact



Katherine P. Feld        [logo]OppenheimerFunds
Vice President &              Oppenheimer Management Corporation
Associate Counsel             Two World Trade Center
                              New York, NY 10048-0203
                              212 323-0200   Fax 212 323-0558




                                   March 20, 1996



Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, DC  20549

          Re:  Oppenheimer Money Market Fund, Inc.
               Reg. No. 2-49887, File No. 811-2454
               Written Representation of Counsel       

To the Securities and Exchange Commission:

          Pursuant to paragraph (e) of Rule 485 under the
Securities Act of 1933, and in connection with an Amendment on Form
N-1A which is Post-Effective Amendment No. 55 to the 1933 Act
Registration Statement of the above Fund, the undersigned counsel,
who prepared such Amendment, hereby represents to the Commission
for filing with such Amendment that said Amendment does not contain
disclosures which would render it ineligible to become effective
pursuant to paragraph (b) of said Rule 485.

                                     Very truly yours,


                                     /s/ Katherine P. Feld

                                     Katherine P. Feld
                                     Vice President &
                                     Associate Counsel

KPF/gl







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