SMITH BARNEY MUNICIPAL MONEY MARKET FUND INC
497, 1996-09-27
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Smith Barney Municipal Money Market Fund, Inc.


Supplement to Prospectus dated July 1, 1996


The following information  supplements the disclosure in the Section of the 
Prospectus entitled "Investment Objective and Policies-- Risk and Portfolio 
Management":

Because the Portfolio invests in securities backed by banks and other 
financial institutions, change in the credit quality of these institutions 
could cause losses to the Portfolio and effect its share price.













Supplement Dated:  September 27,1996
FDO 1203
























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