PRUDENTIAL SPECIAL MONEY MARKET FUND INC
24F-2NT, 1999-10-14
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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

	Read instructions at end of Form before preparing Form.
	Please print or type.



1.	Name and address of issuer:  Prudential Special Money Market
Fund, Inc., 100 Mulberry Street, Gateway Center Three, Newark,
NJ 07102-4077.

2.  	Name of each series or class of securities for which 	this Form
is filed (If the Form is being filed for all 	series and classes of
securities of the issuer, check 	the box but do not list series or
classes):
[

]
3.	Investment Company Act File Number: 811-5951.
Securities Act File Number:  33-31603.

4(a).Last day of fiscal year for which this notice is filed: June 30, 1999.

 (b).[ ] Check box if this Form is being filed late (i.e. more than 90 calendar
days after the end of the issuer's fiscal year). (See Instruction A.2)

Note: If the Form is being filed late,
 interest must be paid on the registration
fee due.

4(c).[ ] Check box if this is the last time the issuer will be filing this Form.

	5.	Calculation of registration fee:

    (i) Aggregate sale price of securities
             sold during the fiscal year in
             reliance on rule 24(f): 		    $  1,665,535,650

   (ii) Aggregate price of securities redeemed or
             repurchased during the fiscal year
             (if applicable):  		         $  1,560,708,573

  (iii) Aggregate price of securities redeemed or
             repurchased during any prior fiscal
   year ending no earlier than October
   11, 1995 that were not previously used
   to reduce registration fees payable to
   the Commission.				    $
144,062,417

(iv)  Total available redemption credits
	   [add items 5(ii) and 5(iii)].	    $  1,704,770,990

    (v) Net sales - If item 5(i)is greater
    than Item 5 (iv) [subtract item 5(iv)
    from item 5(i).				    $      -0-


(vi)  Redemption credits available for use
	   in future years.
	   -if item 5(i)is less than item 5(iv)
	   [subtract item 5(i)from item (5(iv)] $    39,235,340

  (vii) Multiplier for determining registration
     fee. (See instruction C.9):		X       .000278

(viii)  Registration fee due [multiply item
	   5(v) by item 5 (vii)] enter "0" if
      no fee is due.					=$     0


6.  Prepaid Shares

If the response to item 5(i) was determined by         deducting an
amount of securities that were registered under the Securities Act of
1933 pursuant to rule 24e-2 as in effect before October 11, 1997,
then report the amount of securities (number of shares or other units)
deducted here:  -0-  . If there is a number of shares or other units that
were registered pursuant to rule 24e-2 remaining unsold at the end of
the fiscal year for which this form is filed that are available for use
by the issuer in future fiscal years, then state that number here:    -0-
 .

7.  Interest due - if this Form is being filed
   more than 90 days after the end of the
   issuer's fiscal year (See Instruction D):+$    -0-

8.  Total amount of the registration fee due
   plus any interest due [line 5(viii) plus
   line 7]:
	=$    -0-

9.  Date the registration fee and any interest
   payment was sent to the Commission's lockbox
   depository:

   Method of Delivery:

			[ ]	Wire Transfer
			[ ]  Mail or other means






	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/ Robert C. Rosselot
						Robert C. Rosselot
						Secretary


	Date: September 30, 1999





































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