NUVEEN TAX FREE MONEY MARKET FUND INC
24F-2NT, 1997-04-29
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U.S. SECURITIES AND EXCHANGE COMMISSION
Washington, DC  20549

FORM 24F-2
Annual Notice of Securities Sold
Pursuant to Rule 24f-2

1.  Name and address of issuer:
NUVEEN TAX-FREE MONEY MARKET FUND, INC.
333 West Wacker Drive
Chicago, Illinois  60606

2.  Name of each series or class of funds for which this 
notice is filed:

NUVEEN TAX-FREE MONEY MARKET FUND, INC.

3.  Investment Company Act File Number:  811-4822

     Securities Act File Number: 33-8371

4.  Last day of fiscal year for which this notice is filed:  February 28, 1997

5.  Check box if this notice is being filed more than 180 
days after the close of the issuer's fiscal year for 
purposes of reporting securities sold after the close of 
the fiscal year but before termination of the issuer's 
24f-2 declaration;
[   ]

6.  Date of termination of issuer's declaration under rule 
24f-2(a)(1), if applicable:  N/A

Nuveen Massachusetts Tax-Free Money Market Fund:

7.  Number and amount of securities of the same class or 
series which had been registered under the Securities Act 
of 1933 other than pursuant to rule 24f-2 in a prior 
fiscal year, but which remained unsold at the beginning of 
the fiscal year:

$       -  0  -

8.  Number and amount of securities registered during the 
fiscal year other than pursuant to rule 24f-2:
$       6,322,415

9.  Number and aggregate sale price of securities sold 
during the fiscal year:
  $80,482,731

10. Number and aggregate sales price of securities sold 
during the fiscal year in reliance upon registration 
pursuant to rule 24f-2:

$74,160,316

11.  Number and aggregate sale price of securities issued 
during the fiscal year in connection with dividend 
reinvestment plans; if applicable:

12.  Calculation of registration fee:
  (i) Aggregate sale price of securities sold during the 
fiscal year in reliance on rule 24f-2 (from Item 10):

$74,160,316

  (ii) Aggregate price of shares issued in connection
with dividend reinvestment plans (from Item 11, if 
applicable):

N/A

  (iii) Aggregate price of shares redeemed or repurchased
during the fiscal year (if applicable):

$107,538,253

  (iv) Aggregate price of shares redeemed or repurchased
and previously applied as a reduction to filing fees
pursuant to rule 24e-2 (if applicable):
$     

  (v) Net aggregate price of securities sold and issued
during the fiscal year in reliance on rule 24f-2 [line 
(i), plus line (ii), less line (iii), plus (iv)] (if 
applicable):

$ 0.00

  (vi) Multiplier prescribed by Section 6(b) of the
Securities Act of 1933 or other applicable law or
regulation:

1/3300

  (vii) Fee due [line (I) or line (v) multiplied by line 
(vi)]:

$ 0.00

U.S. SECURITIES AND EXCHANGE COMMISSION
Washington, DC  20549

FORM 24F-2
Annual Notice of Securities Sold
Pursuant to Rule 24f-2



1.  Name and address of issuer:
NUVEEN TAX-FREE MONEY MARKET FUND, INC.
333 West Wacker Drive
Chicago, Illinois  60606

2.  Name of each series or class of funds for which this 
notice is filed:

NUVEEN TAX-FREE MONEY MARKET FUND, INC.

3.  Investment Company Act File Number:  811-4822

     Securities Act File Number: 33-8371

4.  Last day of fiscal year for which this notice is filed:  February 28, 1997

5.  Check box if this notice is being filed more than 180 
days after the close of the issuer's fiscal year for 
purposes of reporting securities sold after the close of 
the fiscal year but before termination of the issuer's 
24f-2 declaration;
[   ]

6.  Date of termination of issuer's declaration under rule 
24f-2(a)(1), if applicable:  N/A

Nuveen New York Tax-Free Money Market Fund:

7.  Number and amount of securities of the same class or 
series which had been registered under the Securities Act 
of 1933 other than pursuant to rule 24f-2 in a prior 
fiscal year, but which remained unsold at the beginning of 
the fiscal year:

$       -  0  -

8.  Number and amount of securities registered during the 
fiscal year other than pursuant to rule 24f-2:
$      4,914,206

9.  Number and aggregate sale price of securities sold 
during the fiscal year:
$13,116,678

10. Number and aggregate sales price of securities sold 
during the fiscal year in reliance upon registration 
pursuant to rule 24f-2:

$8,202,472

11.  Number and aggregate sale price of securities issued 
during the fiscal year in connection with dividend 
reinvestment plans; if applicable:

12.  Calculation of registration fee:
  (i) Aggregate sale price of securities sold during the 
fiscal year in reliance on rule 24f-2 (from Item 10):

$8,202,472

  (ii) Aggregate price of shares issued in connection
with dividend reinvestment plans (from Item 11, if 
applicable):

N/A

  (iii) Aggregate price of shares redeemed or repurchased
during the fiscal year (if applicable):

$18,772,951

  (iv) Aggregate price of shares redeemed or repurchased
and previously applied as a reduction to filing fees
pursuant to rule 24e-2 (if applicable):
$     

  (v) Net aggregate price of securities sold and issued
during the fiscal year in reliance on rule 24f-2 [line 
(i), plus line (ii), less line (iii), plus (iv)] (if 
applicable):

$ 0.00

  (vi) Multiplier prescribed by Section 6(b) of the
Securities Act of 1933 or other applicable law or
regulation:

1/3300

  (vii) Fee due [line (I) or line (v) multiplied by line 
(vi)]:

$ 0.00


13.  Check box if fees are being remitted to the 
Commission's lockbox depository as described in section 
3a of the Commission's Rules of Informal and Other 
Procedures (17 CFR 202.3a).  [   ]

Date of mailing or wire transfer of filing fees to the
Commission's lockbox depository:


SIGNATURES


This report has been signed below by the following persons on behalf of the 
issuer and in the capacities and on the dates indicated.


Dated:   April 29, 1997 NUVEEN TAX-FREE MONEY MARKET 
                         FUND, INC.
                       (name of registrant)


  By:     
        Gifford R. Zimmerman
        Vice President and Assistant Secretary

Exhibit:   Opinion of Counsel





April 29, 1997

Nuveen Tax-Free Money Market Fund, Inc.
333 West Wacker Drive
Chicago, Illinois  60606

RE:  Rule 24f-2 Notice

Ladies and Gentlemen:


We have acted as special counsel to Nuveen Tax-Free Money Market Fund, Inc., a 
Minnesota Corporation (the "Fund"), in connection with the Fund's registration,
pursuant to Rule 24f-2 under the Investment Company Act of 1940, as amended, 
(the "1940 Act"), of an indefinite number of its Nuveen Massachusetts 
Tax-Free Money Market Fund - Institutional Series Shares; Nuveen Massachusetts 
Tax-Free Money Market Fund - Service Plan Series Shares; Nuveen Massachusetts 
Tax-Free Money Market Fund - Distribution Plan Series Shares; Nuveen New York 
Tax-Free Money Market Fund - Institutional Series Shares; Nuveen New
York Tax-Free Money Market Fund - Service Plan Series Shares; and Nuveen 
New York Tax-Free Money Market Fund - Distribution Plan Series Shares; 
par value $.01 per share (collectively, the "Shares"), under the 
Securities Act of 1933, as amended (the "1933 Act").  We understand that, 
pursuant to such Rule 24f-2, the Fund proposes to file a notice (the 
"Notice") with the Securities and Exchange Commission (the "Commission") 
with respect to the fiscal year ended February 28, 1997, in order to make 
definite in number the registration of Shares in the aggregate amount of 
$82,362,788.  This opinion is being delivered to you in connection with the
Fund's filing of such Notice.

In connection with this opinion, we have reviewed, among other things, 
executed copies of the following documents:

(a) a certificate of the Secretary of State of the State of Minnesota as to 
the existence and good standing of the Fund;

(b) copies, certified by the Secretary of State of the State of Minnesota; 
of the Fund's Articles of Incorporation and of all amendments and all 
supplements thereto (the "Charter");

(c) a certificate executed by H. William Stabenow, the Treasurer of the Fund, 
as to the issuance of the Shares in accordance with the Fund's Charter and 
By-Laws and as to the receipt by the Fund of the net asset 
value of the Shares covered by the Notice; and

(d) a certificate executed by Karen L. Healy, an Assistant Secretary of the 
Fund, certifying as to, and attaching copies of, the Fund's Charter and 
By-Laws, and certain resolutions adopted by the Board of Directors of 
the Fund (the "Board") authorizing the issuance of the Shares covered by 
the Notice;.

In our capacity as counsel to the Fund, we have examined the originals, or 
certified, conformed or reproduced copies, of all records, agreements, 
instruments and documents as we have deemed relevant or necessary as the 
basis for the opinion hereinafter expressed.  In all such examinations, we 
have assumed the legal capacity of all natural persons executing documents, 
the genuineness of all signatures, the authenticity of all original or 
certified copies, and the conformity to original or certified copies of all 
copies submitted to us as conformed or reproduced copies.  As to various 
questions of fact relevant to such opinion, we have relied upon, and assume 
the accuracy of, certificates and oral or written statements of public 
officials and officers or representatives of the Fund.

Based upon and subject to, the limitations set forth herein, we are of the 
opinion that the Shares, when issued, in the aggregate amount of 
$82,362,788 covered by the Notice were legally issued, fully paid 
and nonassessable.

This opinion expressed herein is limited to the laws of the State of 
Minnesota.


Very truly yours,

FRIED, FRANK, HARRIS, SHRIVER & JACOBSON



Thomas S. Harman




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