STRONG SHORT TERM MUNICIPAL BOND FUND INC
497J, 2000-01-04
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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 Strong Short-Term Municipal Bond Fund's
Prospectus and Statement of Additional Information each dated January 1, 2000
filed by the Registrant pursuant to Post-Effective Amendment No. 12 (File No.
33-42773; 811-6409), which was filed with the Securities and Exchange
Commission on December 29, 1999 (the "Post-Effective Amendment").

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

4.     The form of Strong Short-Term Municipal Bond Fund'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 4, 2000




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