NUVEEN FLAGSHIP MULTISTATE TRUST III
497J, 2000-10-03
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                          Morgan, Lewis & Bockius LLP
                               1800 M Street N.W.
                             Washington, D.C. 20036


October 3, 2000


VIA EDGAR
---------

Securities and Exchange Commission
450 Fifth Street, N.W.
Judiciary Plaza
Washington, D.C. 20549

Re:  Nuveen Multistate Trust III (File Nos. 333-16611 and 811-07943)
     ---------------------------------------------------------------
     Filing pursuant to Rule 497(j)
     ------------------------------

Ladies and Gentlemen:

On behalf of our client, Nuveen Multistate Trust III (the "Trust"), we are
filing, pursuant to Rule 497(j) under the Securities Act of 1933, as amended
(the "1933 Act"), this letter certifying that the prospectus dated September 28,
2000 for the Nuveen Georgia Municipal Bond Fund, Louisiana Municipal Bond Fund,
North Carolina Municipal Bond Fund, and Tennessee Municipal Bond Fund and the
Statement of Additional Information also dated September 28, 2000 that would
have been filed pursuant to Rule 497(c) of the 1933 Act, do not differ from
those contained in the Trust's Post-Effective Amendment No. 5 which was filed
via EDGAR, on September 28, 2000.

Please contact me at (202) 467-7662 should you have any questions or comments
concerning this filing.


Sincerely,

/s/ Thomas S. Harman

Thomas S. Harman


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