STRONG SHORT TERM MUNICIPAL BOND FUND INC
497J, 1996-05-03
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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 May 1, 1996  filed  by  the
Registrant pursuant to Post-Effective Amendment No. 7  (File  No.
33-42773;  811-6409),  which was filed with  the  Securities  and
Exchange  Commission  on  April  26,  1996  (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:  May 3, 1996



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