STRONG SHORT TERM MUNICIPAL BOND FUND INC
497J, 1999-01-05
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                               CERTIFICATION OF                                 
                  STRONG SHORT-TERM MUNICIPAL BOND FUND, INC.                   


STRONG SHORT-TERM MUNICIPAL BOND FUND, INC. (the "Registrant") does hereby      
certify as follows:                                                             

1.     This Certification is made pursuant to Rule 497(j) of the Securities Act 
of 1933.                                                                        

2.     Reference is made to the Registrant's Prospectus and Statement of        
Additional Information each dated January 1, 1999 filed by the Registrant       
pursuant to Post-Effective Amendment No. 11 (File No. 33-42773; 811-6409),      
which was filed with the Securities and Exchange Commission on December 28,     
1998 (the "Post-Effective Amendment").                                          

3.     The Post-Effective Amendment is the most recent post-effective amendment 
filed by the Registrant.                                                        

4.     The form of Registrant's Prospectus and Statement of Additional          
Information that would have been filed under Rule 497(c) of the Securities Act  
of 1933 would not have differed from that contained in the Post-Effective       
Amendment.                                                                      

5.     The text of the Post-Effective Amendment has been filed electronically.  

                              STRONG SHORT-TERM MUNICIPAL BOND                  
                                 FUND, INC.                                     


       
                                      /s/ John S. Weitzer               
                              By:     John S. Weitzer                           
                              Title:     Vice President                         



Dated:  January 5, 1999                                                         

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