NUVEEN INVESTMENT TRUST III
497, 1999-12-15
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 Supplement to the Statement of Additional Information dated February 19, 1999

                               ----------------

                          NUVEEN INVESTMENT TRUST III

                               Nuveen Income Fund

                               ----------------

  In the section of the Statement of Additional Information entitled "Addi-
tional Information on the Purchase and Redemption of Fund Shares and Share-
holder Programs" under Reduction or Elimination of Contingent Deferred Sales
Charge, the waiver or reduction of the CDSC for redemptions made pursuant to a
Fund's systematic investment plan is hereby amended and restated as follows:

    The CDSC may be waived for redemptions, made on or after December 15,
  1999 pursuant to a fund's systematic withdrawal plan, of up to 1% monthly,
  3% quarterly, 6% semiannually or 12% annually of an account's net asset
  value depending on the frequency of the plan as designated by the share-
  holder.




                       PLEASE RETAIN FOR FUTURE REFERENCE

                                                               VGN-S-6-SAI 12-99


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