NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
SUPPLEMENT TO PROSPECTUS
Effective March 15, 1996, John Nuveen & Co. Incorporated ("Nuveen"),
sponsor and underwriter of the Nuveen Open-End Tax-Free Mutual Funds
(the "Funds") and the Nuveen Tax-Free Unit Investment Trusts (the
"Trusts"), will offer a program of advertising support to registered
broker-dealer firms, banks and bank affiliates ("Firms") that sell
Fund shares and/or Trust units. Under this program, Nuveen will pay
or reimburse the Firm for up to one half of specified media costs
incurred in the placement of advertisements which jointly feature
the firm and the Nuveen Funds and Trusts. Reimbursements to the Firm
will be based on the number of the Firm's registered representatives
who have sold Fund shares and/or Trust units during the prior
calendar year according to an established schedule. Reimbursement
under this program will be made by Nuveen and not by the Nuveen Funds
or Trusts.
March 15, 1996