<PAGE>
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