SMITH BARNEY MUNICIPAL MONEY MARKET FUND INC
24F-2NT, 1996-05-23
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3


           U.S. SECURITIES AND EXCHANGE COMMISSION
                   Washington, D.C.  20549
                              
                         FORM 24F-2
              Annual Notice of Securities Sold
                   Pursuant to Rule 24f-2

                              

   
1. Name  and address of issuer:Smith Barney Municipal  Money
   Market Fund, Inc.
   388 Greenwich Street
   New York, NY 10013
   
2. Name  of  each  series or class of funds for  which  this
   notice is filed:
   Class A, C and Y Shares
   
3. Investment Company Act File Number:
   811-3112
   Securities Act File Number:
   2-69938
   
4. Last day of fiscal year for which this notice is filed:
   March 31, 1996
   
   
5. Check  box  if this notice is being filed more  than  180
   days  after  the  close of the issuer's fiscal  year  for
   purposes of reporting securities sold after the close  of
   the  fiscal  year but before termination of the  issuer's
   24f-2 declaration:
   N/A
   [   ]
   
   
6. Date  of  termination of issuer's declaration under  rule
   24f-2(a)(1), if applicable (see Instruction A.6):
   
   N/A
   
   
7. Number  and  amount of securities of the  same  class  or
   series  which  had been registered under  the  Securities
   Act  of 1933 other than pursuant to rule 24f-2 in a prior
   fiscal  year, but which remained unsold at the  beginning
   of the fiscal year:
   
   0
   
   
8. Number  and  amount of securities registered  during  the
   fiscal year other than pursuant to rule 24f-2:
   
   0
   
   
9. Number  and  aggregate  sale  price  of  securities  sold
   during the fiscal year:
   23,961,185,262                                     SHARES
   $23,961,185,262
   

   
10 Number  and  aggregate  sale  price  of  securities  sold
 .  during  the  fiscal  year in reliance  upon  registration
   pursuant to rule 24f-2:
   23,961,185,262                                     SHARES
   $23,961,185,262
   
   
11 Number  and  aggregate  sale price of  securities  issued
 .  during  the  fiscal  year  in  connection  with  dividend
   reinvestment plans, if applicable (see Instruction B.7):
   
   INCLUDED IN ITEM 9
   
12 Calculation of registration fee:
 .  (i)     Aggregate  sale price of securities  sold  during
      the fiscal year
         in   reliance  on  rule  24f-2  (from   Item   10):
      $_23,961,185,262_________
   
   (ii)    Aggregate  price of shares issued  in  connection
      with dividend
              reinvestment   plans   (from   Item   11,   if
      applicable):
      +_0____________________
   
   (iii)   Aggregate price of shares redeemed or repurchased
   during the fiscal
                     year          (if          applicable):
   -__23,200,080,333_  ______
   
   (iv)   Aggregate price of shares redeemed or  repurchased
   and
           previously applied as a reduction to filing  fees
   pursuant
              to     rule     24e-2     (if     applicable):
   +_0_____________________
   
   (v)   Net  aggregate price of securities sold and  issued
   during
          the  fiscal  year in reliance on rule 24f-2  [line
   (i), plus line
           (ii),  less  line  (iii),  plus  line  (iv)]  (if
   applicable):
   __761,104,929___________
   
   (vi)   Multiplier  prescribed by Section  6  (b)  of  the
   Securities
           Act of 1933 or other applicable law or regulation
   (see
                           Instruction                 C.6):
   x_1/2900_________________
   
   (vii)  Fee due [line (i) or line (v) multiplied  by  line
   (vi)]:
   __262,449.98_____________
   
        
Instruc Issuers  should  complete lines (ii),  (iii),  (iv),
tion:   and  (v)  only if the form is being filed within  60
        days  after  the close of the issuer's fiscal  year.
        See Instruction C.3.
        
   
13 Check  box if fees are being remitted to the Commission's
 .  lockbox  depository as described in  section  3a  of  the
   Commission's  Rules of Informal and Other Procedures  (17
   CFR 202.3a).
   
   [ X ]
   
   Date  of mailing or wire transfer of filing fees  to  the
   Commission's lockbox depository:
   May 23, 1996
   
                          SIGNATURES
   This  report  has  been  signed below  by  the  following
   persons  on  behalf of the issuer and in  the  capacities
   and on the dates indicated.
   
   By            (Signature           and            Title)*
   ___________________________________
                                           _Irving P.  David
   - Controller_______
   
   Date _5/24/96_
   
    *Please print the name and title of the signing officer
                     below the signature.
   






                                   May 24, 1996
Smith Barney Municipal Money Market Fund, Inc.
388 Greenwich Street
New York, New York 10013

                   Re:  Rule 24f-2 Notice
                              
Gentlemen:

    In connection with the filing by Smith Barney Municipal
Money Market Fund, Inc., a Maryland corporation (the
"Fund"), of a Notice (the "Notice"), pursuant to Rule 24f-2
under the Investment Company Act of 1940, as amended (the
"Act"), for the Fund's fiscal year ended March 31, 1996, the
undersigned hereby provides the legal opinion required by
that Rule.

     In accordance with Rule 24f-2, the Fund has registered
an indefinite number of shares of common stock, $.01 par
value, under the Securities Act of 1933, as amended (the
"1933 Act"). The purpose of the Notice is to make definite
the registration of  23,961,185,262 shares of the Fund (the
"Shares") sold in reliance upon the Rule during the fiscal
year ended March 31, 1996.

     The undersigned is Associate General Counsel of Smith
Barney Mutual Funds Management Inc., the Fund's
administrator, and in such capacity, from time to time and
for certain purposes, acts as counsel to the Fund. She has
examined copies of the Fund's Articles of Incorporation, its
By-Laws, resolutions adopted by its Board of Directors, and
such other records and documents as have been deemed
necessary for purposes of this opinion.  Furthermore, she
has examined a Certificate of the Controller of the Fund to
the effect that the Fund received the cash consideration for
each of the Shares in accordance with the aforementioned
organizational documents and resolutions.

     On the basis of the foregoing, and assuming all of the
Shares were sold in accordance with the terms of the Fund's
Prospectus in effect at the time of sale, she is of the
opinion that the Shares have been duly authorized and
validly issued and are fully paid and non-assessable.  This
opinion is for the limited purposes expressed above and
should not be deemed to be an expression of opinion as to
compliance with the 1933 Act, the 1940 Act or applicable
State "blue sky" laws in connection with the sales of the
Shares.


                                        Very truly yours,


                                        Nancy W. LeDonne
                                        Associate General
                                        Counsel
                                        of Smith Barney
Mutual Funds
Management Inc.



                         CERTIFICATE
                              
      The  undersigned, Controller of  SMITH BARNEY
MUNICIPAL MONEY MARKET FUND, INC. (the "Fund"), hereby
certifies that the Fund has  received  full payment, in
accordance  with  the provisions of its Prospectus, for
23,961,185,262 shares of common stock,  par  value $.01 per
share, the sales  of  which are reported in the Fund's Rule
24f-2 Notice covering the fiscal year ended  March 31, 1996
and that the facts otherwise stated in such Notice are true.


                                   Irving P. David
                                   Controller

Dated:         May 24, 1996









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