INVESCO MULTIPLE ASSET FUNDS INC
24F-2NT, 1997-09-26
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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:

              INVESCO MULTIPLE ASSET FUNDS, INC.
              7800 E. Union Avenue
              Denver, Colorado 80237

2.    Name of each series or class of funds for which this notice is
      filed:

              INVESCO MULTIPLE ASSET FUNDS, INC.
                INVESCO Balanced Fund
                INVESCO Multi-Asset Allocation Fund

3.    Investment Company Act File Number:   811-8066

      Securities Act File Number:  33-69904

4.    Last day of fiscal year for which this notice is filed:

              July 31, 1997

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 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:

              0

8.    Number and amount of securities registered during the fiscal
      year other than pursuant to Rule 24f-2:

              0



<PAGE>



9.    Number and aggregate sale price of securities sold during
      the fiscal year:

              Shares = 15,275,737         $212,006,383

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

              Shares = 15,275,737         $212,006,383

11.  Number and  aggregate  sales price of  securities  issued  during the
     fiscal year in connection with dividend  reinvestment plans, if applicable
     (see Instruction B.7):

              N/A

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):                                  $  212,006,383
                                                               --------------

              (ii)  Aggregate price of shares issued
              in connection with dividend
              reinvestment plans (from Item 11,
              if applicable):                                 +     N/A
                                                               --------------
              (iii  Aggregate price of shares
              redeemed or repurchased during the
              fiscal year (if applicable):                    -  183,996,481
                                                               -------------- 
              (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:                                     $28,009,902
                                                               --------------   
              (vi) Multiplier prescribed by Section
              6(b) of the Securities Act of 1933
              or other applicable law or regula-
              tion (see Instruction C.6):                    x      1/3300
                                                             ----------------   
              (vii) Fee due [line (i) or line(v)
              multipled by line (vi)]:                        $     8,487.85
                                                              ===============


<PAGE>


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
      Information and Other Procedures (17 CFR 202.3a).

               X
              ---

Date of mailing or wire  transfer  of filing  fees to the  Commission's  lockbox
depository:

              September 25, 1997

                                   SIGNATURES

This  report has been  signed  below by the  following  persons on behalf of the
issuer and in the capacities and on the date indicated.

                              INVESCO MULTIPLE ASSET FUNDS, INC.
                                 INVESCO Balanced Fund
                                 INVESCO Multi-Asset Allocation Fund


                              By:  /s/ Dan J. Hesser
                                   -------------------------------
                                       Dan J. Hesser
                                       President

                              Date:   September 26, 1997




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