STRONG MONEY MARKET FUND INC
497, 1999-05-10
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           PLEASE FILE THIS PROSPECTUS SUPPLEMENT WITH YOUR RECORDS.            

                           STRONG HERITAGE MONEY FUND                           
                          STRONG INVESTORS MONEY FUND                           
                            STRONG MONEY MARKET FUND                            
                       STRONG MUNICIPAL MONEY MARKET FUND                       
                             STRONG ADVANTAGE FUND                              
                        STRONG MUNICIPAL ADVANTAGE FUND                         

               Supplement to the Prospectus dated March 1, 1999                 

STRONG MUNICIPAL MONEY MARKET FUND                                              

Effective immediately, Mr. John C. Bonnell will become a co-portfolio manager   
of the Strong Municipal Money Market Fund (the "Fund").  Mr. Bonnell joined     
Strong Capital Management, Inc., the Fund's investment advisor ("Advisor"), in  
May 1999.  For ten years prior to joining the Advisor, Mr. Bonnell worked at    
USAA Investment Management Company, most recently serving as an executive       
director and portfolio manager.  From 1995 to 1996, Mr. Bonnell was a senior    
securities analyst and from 1991 to 1995 he served as a securities analyst.     
From 1989 to 1991, Mr. Bonnell was a portfolio assistant.  Mr. Bonnell received 
his bachelors degree in Finance from the University of Texas in 1987 and his    
Masters of Business Administration from St. Mary's University in 1991.          

STRONG HERITAGE MONEY FUND                                                      

The following paragraph replaces the information contained under the heading    
"Your Account - Additional Policies - Heritage Money Fund Account Maintenance   
and Transaction Fees" found on page 27 of the Fund's prospectus:                

For the HERITAGE MONEY FUND, a $3 fee will be charged for each exchange,        
redemption, or check transaction.  A $3 quarterly account maintenance fee is    
also charged if the balance in your HERITAGE MONEY FUND is less than $25,000.   
HOWEVER, WE WILL WAIVE THESE FEES IF YOUR COMBINED STRONG FUNDS' ACCOUNT        
BALANCE IS $100,000 (OR HIGHER) AT THE END OF THE QUARTER DURING WHICH (1) YOU  
EXCHANGED, REDEEMED, OR WROTE A CHECK, OR (2) YOUR ACCOUNT BALANCE FELL BELOW   
$25,000.                                                                        

STRONG INVESTORS MONEY FUND                                                     

The following information replaces the information related to the Strong        
Investors Money Fund found on page 22 of the Fund's prospectus:                 

For the STRONG INVESTORS MONEY FUND:                                            

- - You may only open one regular account.  You may not make additional purchases 
  after your account reaches $50,000.  If you participate in an Automatic       
  Investment Plan, we will discontinue the plan after your account reaches      
  $50,000.                                                                      
- - You may open up multiple IRA accounts. You may not make additional purchases  
  into your IRA accounts once the aggregate value of all of your IRA accounts   
  in the Fund reaches $50,000.  If you participate in an Automatic Investment   
  Plan, we will discontinue the plan after the value of your IRA accounts       
  reaches $50,000.                                                              

 The following information replaces the information related to the Strong       
 Investors Money Fund found on page 34 of the Fund's prospectus:                

 Additionally, with the STRONG INVESTORS MONEY FUND, we reserve the right to:   

- - Redeem shares in your regular account that exceed $50,000 (exclusive of       
  dividends).                                                                   
- - Redeem shares in your IRA accounts that, in the aggregate, exceed $50,000     
  (exclusive of dividends).                                                     

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- - Close accounts and redeem all shares in the accounts if you have more than    
  one regular account.                                                          

            The date of this Prospectus Supplement is May 10, 1999.             

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