STRONG MONEY MARKET FUND INC
24F-2NT/A, 1995-11-15
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	U.S. SECURITIES AND EXCHANGE COMMISSION	
	"Washington, D.C. 20549"	

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


1.	Name and address of issuer:	
	"STRONG MONEY MARKET FUND, INC."	
	100 Heritage Reserve	
	"Menomonee Falls, Wisconsin 53051"	
		
2.	Name of each series or class of funds for which this notice is filed:	
		
		
3.	Investment Company Act File Number:		
	811-4374		
	Securities Act File Number:		
	2-99439		
			
4.	Last day of fiscal year for which this notice is filed:		
	10/31/95		
			
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"		
	if applicable (see instruction A.6):		
	N/A		
			
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:		
	"286,898,543.910 "		
	"$286,898,543.91 "		
			
8.	Number and amount of securities registered during the fiscal year other		
	than pursuant to rule 24f-2:		
	0.000 		
	$0.00 		
			
9.	Number and aggregate sale price of securities sold during the fiscal year:		
	"4,710,314,517.350 "		
	"$4,710,314,517.35 "		
			
10.	Number and aggregate sale price of securities sold during the fiscal year		
	in reliance upon registration pursuant to rule 24f-2:		
	"4,423,415,973.440 "		
	"$4,423,415,973.44 "		
			
11.	Number and aggregate sale price of securities issued during the fiscal		
	"year in connection with dividend reinvestment plans, if applicable"		
	(See Instruction B.7):		
	0.000 		
	$0.00 		
			
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):		"$4,423,415,973.44 "
			
	(ii) Aggregate price of shares issued in connection with dividend		
	"reinvestment plans (from Item 11, if applicable):"		$0.00 
			
	(iii) Aggregate price of shares redeemed or repurchased during the		
	fiscal year (if applicable):		"$3,317,226,144.68 "
			
	(iv) Aggregate price of shares redeemed or repurchased and		
	previously applied as a reduction to filing fees pursuant to		
	rule 24e-2 (if applicable):		$0.00 
			
	(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 line (iv)] (if applicable):"		"$1,106,189,828.76 "
			
	(vi) Multiplier prescribed by Section 6(b) of the Securities Act of 		
	1933 or other applicable law or regulation (see Instruction C.6):		0.0002
			
	(vii) Fee due [line (i) or line (v) multiplied by line (vi)]:		"$221,237.97 "
			
	"Instruction:  Issuers should complete lines (ii), (iii), (iv), and (v)"		
	only if the form is being filed within 60 days after the close of		
	the issuer's fiscal year.  See Instruction C.3.		
			
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).		
	[ X ]		
			
	Date of mailing or wire transfer of filing fees to the Commission's		
	lockbox depository:		
	11/14/95		

	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.	

	By (Signature and Title)*	
	/s/Thomas P. Lemke	
	Vice President	

	Date :  11/15/95	
	* Please print the name and title of the signing officer below the signature.	



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