SCUDDER GNMA FUND
24F-2NT, 1998-06-22
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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.
                    Please print or type
                              
1.  Name and address of issuer:
                         Scudder GNMA Fund
                         Two International Place
                         Boston, MA  02110
    
2.  The 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):                                        X
                                   
                            
    
3.   Investment Company Act File Number: 811-3699
    
        Securities Act File Number:
                                                           2-82632
    
    
4(a). Last day of fiscal year for which this Form is filed:

                                                           3/31/98
    
    
    Note: If the Form is being filed late, interest must be paid
    on the registration fee due.

4(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)
    
    
    
    
4(c). Check box if this is the last time the issuer will be filing this Form.
    
    
<PAGE>
    
    
    
                              
5.  Calculation of registration fee:                       
<TABLE>
<CAPTION>
                                                          <S>                  <C>
    
    (i)    Aggregate sale price of securities sold during              
           the fiscal year pursuant to section 24(f):      $ 91,773,758
           
           
    
    (ii)    Aggregate price of securities redeemed or                  
            repurchased during the fiscal year:            $ 95,991,645
             
       
    
    (iii)   Aggregate price of securities redeemed or                  
            epurchased 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:   $0
    
    (iv)   Total available redemption credits               
           [add items 5(ii) and 5(iii)]:                                       - $95,991,645
                                                         
    (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               $  (4,223,887)
           5(iv) [subtract item 5(iv) from item
           5(i)]:
                                                           
    (vii)   Multiplier for determining        
            registration fee (See Instruction     
             C.9):                                        x .000295
    
    (viii)  Registration fee due [multiply                 
            item 5(v) by item 5(vii)]                     =$0
            (enter "0" if no fee is due):
    
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                  2,423,677
    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:
    
7.  Interest due - if this Form is being                   
    filed more than 90 days after the end                  +$ 0
    of the issuer's fiscal year (see
    Instruction D):
    
8.  Total of the amount of the registration                
    fee due plus any interest due [line                    =$0
    5(viii) plus line 7]:
    
9.  Date the registration fee and any                      
    interest payment was sent to the         
    Commission's lockbox depository:       
</TABLE>

    Method of Delivery:

                                    
    Wire          X               
    Transfer

    Mail or                 
    other means
<PAGE>

                                   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 F. McDonough
                 -----------------------------------
                    Thomas F. McDonough, Secretary

Date:   June 19, 1998

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




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