NUVEEN TAX FREE MONEY MARKET FUND INC
497, 1999-03-12
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Supplement Dated March 12, 1999 to the
Prospectus Dated June 24, 1998
____________

NUVEEN TAX-FREE MONEY MARKET FUND, INC.
Nuveen Massachusetts Tax-Free Money Market Fund
____________


The Board of Directors of the Nuveen Massachusetts Tax-Free 
Money Market Fund (the "Fund") has recommended closing 
the Fund.  As of the close of business on March 12, 1999, 
the Fund will be closed to new shareholders or new 
purchases by existing shareholders.  Effective 
March 31, 1999, any unitholders of Nuveen Defined 
Portfolios who had previously elected reinvestment of 
Defined Portfolio distributions into the Fund and who 
have not returned a Change Form to Nuveen modifying 
their election will be deemed to have elected to receive 
future distributions in cash.




PLEASE KEEP THIS WITH YOUR FUND PROSPECTUS 
FOR FUTURE REFERENCE


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