NUVEEN TAX EXEMPT MONEY MARKET FUND INC
24F-2NT, 1995-04-24
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 SECURITIES AND EXCHANGE COMMISSION
 Washington, DC  20549

 RULE 24f-2 NOTICE
 for
 NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
 File Number 2-70520

Rule 24f-2(b)(1) under the Investment Company Act of 1940 ("1940 Act").

(i) Fiscal year for which notice is filed:

February 28, 1995 (fiscal year end)

(ii) The amount of shares of the same series, if any, which had been
registered under the Securities Act of 1933 ("1933 Act") other than pursuant
to Rule 24f-2 but which remained unsold at the beginning of such fiscal year:

$       -  0  - 

(iii) The amount of shares, if any, registered during such fiscal year
other than pursuant to Rule 24f-2:

$       621,471,740 

(iv) The amount of shares sold during such fiscal year:

$       5,131,853,367 

(v) The amount of shares sold during such fiscal year in reliance upon 
registration pursuant to Rule 24f-2*:

$       4,510,381,627 

  
* Computation of Fee pursuant to Section 6(b) of the 1933 Act
and Rule 24f-2(c) under the 1940 Act:

1. Actual aggregate sale price for which such shares were sold during
the previous fiscal year:

$         4,510,381,627 

2. Actual aggregate redemption price of such
shares redeemed during such previous fiscal year:      ($   5,348,442,330  )

3. Actual aggregate redemption price of such
redeemed shares previously applied pursuant to 
Section 24e-2(a) under the 1940 Act:                        ($   -0-   )

4. Net Adjustment to aggregate sale price:
($5,348,442,330)    

5. Aggregate sale price to be used as basis computation of fee:

($  838,060,703) 

6. Fee of .034483% (.00034483)

$     - 0 - 

page 1 of 2

SIGNATURE


The undersigned Registrant has duly caused this Rule 24f-2 Notice to be 
signed on its behalf by the undersigned in the City of Chicago, State 
of Illinois.


Dated:   April 24, 1995 NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
                                   (name of registrant)


  By:     
        Gifford R. Zimmerman
        Vice President and Assistant Secretary




Exhibit:   Opinion of Counsel




 page 2 of 2


SIGNATURE


The undersigned Registrant has duly caused this Rule 24f-2 Notice to 
be signed on its behalf by the undersigned in the City of Chicago, 
State of Illinois.



Dated:   April 24, 1995 NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
                               (name of registrant)


  By:   /s/ Gifford R. Zimmerman   
        Gifford R. Zimmerman
        Vice President and Assistant Secretary


Exhibit:   Opinion of Counsel






page 2 of 2





April 20, 1995

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

RE:  Rule 24f-2 Notice

Ladies and Gentlemen:

We have acted as counsel to Nuveen Tax-Exempt Money Market Fund, Inc., a 
Maryland corporation (the "Fund"), in connection with the Fund's registration, 
pursuant to Rule 24f-2 under the Investment Company Act of 1940, as amended, 
of an indefinite number of its shares of common stock, par value $.01 (the 
"Shares"), under the Securities Act of 1933 , as amended.  We understand that, 
pursuant to such Rule 24f-2, the Fund proposes to file a notice (the "Notice") 
with the Securities and Exchange Commission with respect to the fiscal year
ended February 28, 1995, in order to make definite the registration of 
Shares in the aggregate amount of $4,510,381,627.  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 Maryland State Department of Assessments and 
Taxation (the "Department") as to the existence and good standing of the Fund;

(b) copies, certified by the Department; of the Fund's Charter and of all 
amendments and all supplements thereto (the "Charter");

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

(d) 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.

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 covered by the Notice, when issued, were validly 
and legally issued and fully paid and nonassessable under the laws of the 
State of Maryland.

This opinion expressed herein is limited to the laws of the State of Maryland.
As to matters of Maryland law covered thereby, we have relied solely upon 
the opinion of Venable, Baetjer and Howard, LLP, addressed to us and dated 
April 20, 1995.

Very truly yours,

FRIED, FRANK, HARRIS, SHRIVER & JACOBSON



Thomas S. Harman




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