BENHAM TARGET MATURITIES TRUST
24F-2NT, 1995-11-15
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VIA EDGAR

Securities and Exchange Commission
450 Fifth Street NW
Washington, DC 20549

Re:  Rule 24f-2 Notice for
     Benham Target Maturities Trust
     1940 Act File No. 811-4165
     1933 Act File No. 2-94608

Ladies and Gentlemen:

     Pursuant to Section  24(f) of the  Investment  Company Act of 1940 and Rule
24f-2  promulgated  thereunder,  I submit  the  following  pages of a Rule 24f-2
report.  The required  filing fee was sent via Federal Funds Wire to SEC account
number 910-8739 with Mellon Bank on November 14, 1995. 


Sincerely,

/s/Tina M. Ritko
Tina M. Ritko
Legal Assistant
<PAGE>
                     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:  Benham Target Maturities Trust
                                      1665 Charleston Road
                                      Mountain View, CA 94043

2.       Name of each series or class of funds for which this notice is filed:
          
         Benham Target Maturities 1995
         Benham Target Maturities 2000
         Benham Target Maturities 2005
         Benham Target Maturities 2010
         Benham Target Maturities 2015
         Benham Target Maturities 2020
         
3.       Investment Company Act File Number:  811-4165

         Securities Act File Number:  2-94608


4.       Last day of fiscal year for which this notice is filed: September 30,
         1995


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:  Not Applicable


6.       Date of termination of issuer's declaration under rule 24f-2(a)(1),  if
         applicable (see Instruction A.6):  Not Applicable


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:  Not Applicable


8.       Number and amount of securities registered during the fiscal year other
         than pursuant to rule 24f-2:  Not Applicable


9.       Number and aggregate  sale price of  securities  sold during the fiscal
         year:  51,735,462        $1,247,123,106


10.      Number and aggregate  sale price of  securities  sold during the fiscal
         year in reliance upon registration pursuant to rule 24f-2:

                50,924,087           $1,214,170,177 


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):

                  811,375        $32,952,929  
           
<TABLE>
<CAPTION>
12.      Calculation of registration fee:
         <S>                                                                    <C>
         (i)   Aggregate sale price of securities sold during the    
               fiscal year in reliance on rule 24f-2 (from Item 10):            $ 1,214,170,177
                                                                            
         (ii)  Aggregate price of shares issued in connection with
               dividend reinvestment plans (from Item 11), if
               applicable):                                                     +    32,952,929

         (iii) Aggregate price of shares redeemed or repurchased
               during the fiscal year (if applicable):                          -   702,968,717 

         (iv)  Aggregate price of shares redeemed or repurchased
               and previously applied as a reduction to filing fees
               pursuant to rule 24e-2 (if applicable):                          +     N/A

         (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):              544,154,389

         (vi)  Multiplier prescribed by Section 6(b) of the Securities
               Act of 1933 or other applicable law or regulation
               (see Instruction C.6):                                           x        .0002

                                                                                ----------------    
         (vii) Fee due [line (i) or line (v) multiplied by line (vi)]:          $     108,830.87
                                                                                ================


</TABLE>


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:

         November 14, 1995   

                                   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/Douglas A. Paul, General Counsel
                                    Douglas A. Paul, General Counsel
                                    


         Date  11/14/95

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

November 14, 1995


Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, DC  20549

RE:      Rule 24f-2 Notice for Benham Target Maturities Trust
         1940 Act File No. 811-4165
         1933 Act File No. 2-94608

 
Ladies and Gentlemen:

     I am counsel to Benham Target  Maturities Trust and as such, I am generally
familiar with its affairs. Based upon that familiarity, and upon the examination
of such  documents  as I deemed  relevant,  it is my opinion  that the shares of
Benham Target Maturities Trust described in the Rule 24f-2 Notice dated November
14,  1995,  with  respect to the year ended  September  30,  1995,  were legally
issued, fully paid and non-assessable.

     I hereby  consent to the  inclusion  of this opinion with the filing of the
attached 24f-2 Notice for the fiscal year ended September 30, 1995.

Sincerely,

BENHAM TARGET MATURITIES TRUST

/s/Douglas A. Paul
Douglas A. Paul


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