NUVEEN MONEY MARKET TRUST
497, 1999-12-15
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   Supplement to the Statement of Additional Information dated June 25, 1999

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

                           NUVEEN MONEY MARKET TRUST

                            Nuveen Money Market Fund

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

  In the section of the Statement of Additional Information entitled
"Additional Information about Purchases and Sales" 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
  shareholder.




                       PLEASE RETAIN FOR FUTURE REFERENCE

                                                               VGN-S-9-SAI 12-99


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