COHEN & STEERS REALTY SHARES INC
24F-2NT, 1999-03-18
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                                  UNITED STATES
                       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.

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1. Name and address of issuer:      COHEN & STEERS REALTY SHARES, INC.
                                    757 THIRD AVENUE
                                    NEW YORK, NY  10017

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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, check the box
but do not list series or classes):                                        [ X ]

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3. Investment Company Act File Number:      811-6302

   Securities Act File Number:              33-40215

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4(a). Last day of fiscal year for which this Form is filed:    DECEMBER 31, 1998

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4(b).[ ] Check box if this Form is being filed late (i.e., more than 90 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.

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

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<S>                                                           <C>                    <C>
5. Calculation of registration fee:

        (i)    Aggregate sale price of securities sold during
               the fiscal year pursuant to section 24f-2:                              $1,027,970,052
                                                                                       --------------

        (ii)   Aggregate price of securities redeemed or
               repurchased during the fiscal year:              $1,787,359,947
                                                                --------------

        (iii)  Aggregate price of securities redeemed or
               repurchased during any prior fiscal year
               ending no earlier than October 11, 1995
               that were not previosly used to reduce
               registration fees payable to the Commission:     $          n/a
                                                                 -------------

        (iv)   Total available redemption credits [add Items 5(ii) and 5(iii)]:   $(1,787,359,947)
                                                                                  ----------------
        (v)    Net sales - if Item 5(i) is greater than
               Item 5(iv) [subtract Item 5(iv) from Item 5(i)]:                        $          n/a
                                                                                       --------------

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        (vi)   Redemption credits available for use in future   $(759,389,895)
               years -- if Item 5(i) is less than Item 5(iv)    --------------
               [subtract Item 5(iv) from Item 5(i)]:
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        (vii)  Multiplier for determining registration fee
               (See Instruction C.9):                                                  X      .000278
                                                                                       --------------
        (viii) Registration fee due [multiply Item 5(v) by Item
               5(vii)] (enter "0" if no fee is due):                                  =$            0
                                                                                       --------------
0          

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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 in effect before October 11, 1997, then report the amount of
        securities (number of shares or other units) deducted here:                             -----
        n/a         .   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:      n/a      .         

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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):

                                                                                      +$         n/a
                                                                                        ------------

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

                                                                                      =$            0
                                                                                       --------------

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

        n/a

        Method of Delivery:

               [  ]   Wire Transfer
               [  ]   Mail or other means

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                                   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 H. Steers, Chairman of the Board
                          -------------------------------------------

                                ROBERT H. STEERS, CHAIRMAN OF THE BOARD
                                ---------------------------------------

Date    3/18/99

    *Please print the name and title of the signing officer below the signature.




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