KEMPER MONEY MARKET FUND
497, 1996-01-05
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                           KEMPER MONEY MARKET FUND
                           SUPPLEMENT TO PROSPECTUS
                            DATED NOVEMBER 20, 1995
 
                               ---------------
 
  Effective February 1, 1996, Kemper Money Market Fund's name and the names of
its three series will change as follows:
 
Old
- ---
Kemper Money Market Fund
 Money Market Portfolio
 Government Securities Portfolio
 Tax-Exempt Portfolio
 
New
- ---
Kemper Money Funds
 Kemper Money Market Fund
 Kemper Government Money Fund
 Kemper Tax-Free Money Fund
 
  The following supplements the indicated sections of the prospectus.
 
DIVIDENDS AND TAXES
 
  Commencing March, 1996, shareholders will receive monthly statements re-
flecting dividend reinvestment and purchase and redemption transactions during
the month. Except for initial purchases, confirmations will no longer be sent
after each transaction.
 
INVESTMENT MANAGER
 
  Kemper Financial Services, Inc., the investment manager, is a subsidiary of
Zurich Insurance Company, an insurance and financial services holding company.
 
January 5, 1996
KMMF-1Z 1/96
 
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