<PAGE>   1
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 10-Q

                  QUARTERLY REPORT UNDER SECTION 13 OR 15(d) OF
                       THE SECURITIES EXCHANGE ACT OF 1934



FOR THE QUARTER ENDED MARCH 31, 2000  COMMISSION FILE NUMBER 2-22997
                                                             -------



                              MILLS MUSIC TRUST
--------------------------------------------------------------------------------
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)



             NEW YORK                                 13-6183792
--------------------------------------------------------------------------------
  (STATE OR OTHER JURISDICTION OF                   (I.R.S. EMPLOYER
   INCORPORATION OR ORGANIZATION)                   IDENTIFICATION NO.)



C/O HSBC BANK USA,   140 BROADWAY,   NEW YORK, NY                10015
-------------------------------------------------------------------------
            (ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)               (ZIP CODE)



REGISTRANT'S TELEPHONE NUMBER, INCLUDING AREA CODE              (212) 658-6014
                                                              ----------------


       INDICATE BY CHECK-MARK WHETHER THE REGISTRANT (1) HAS FILED ALL REPORTS
REQUIRED TO BE FILED BY SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF
1934 DURING THE PRECEDING 12 MONTHS (OR FOR SUCH SHORTER PERIOD THAT THE
REGISTRANT WAS REQUIRED TO FILE SUCH REPORTS), AND (2) HAS BEEN SUBJECT TO SUCH
FILING REQUIREMENTS FOR THE PAST 90 DAYS.


                                    YES X    NO
                                       ---     ---

NUMBER OF TRUST UNITS OUTSTANDING AS OF MARCH 3, 2000    277,712
                                                       ---------







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                                                                          Page 2



                          PART I - FINANCIAL STATEMENTS

Item 1.  Financial Information

                                MILLS MUSIC TRUST
                  STATEMENTS OF CASH RECEIPTS AND DISBURSEMENTS
                   THREE MONTHS ENDED MARCH 31, 2000 AND 1999

                                   (UNAUDITED)



<TABLE>
<CAPTION>
                                  Three Months Ended
                                       March 31,
                                 ---------------------
                                  2000           1999
Receipts:

<S>                           <C>            <C>
 Mills Music, Inc.            $351,767       $274,046

Undistributed cash
 at beginning of
 the period                         31             39

Disbursements -
administrative
expenses                      (14,125)       (  7,336)
                              --------       --------

Balance available
 for distribution              337,673        266,749

Cash distribution
 to unit holders               337,642        266,714
                              --------       --------

Undistributed cash at
  end of the period           $     31       $     35
                              ========       ========

Cash distribution per
 unit (based on 277,712
   units outstanding)         $   1.22       $    .96
                              ========       ========
</TABLE>




See accompanying Notes to Statements of Cash Receipts and Disbursements.


<PAGE>   3



                                                                          Page 3



                                MILLS MUSIC TRUST
             NOTES TO STATEMENTS OF CASH RECEIPTS AND DISBURSEMENTS
                   THREE MONTHS ENDED MARCH 31, 2000 AND 1999

                                   (UNAUDITED)

NOTE 1.  ACCOUNTING POLICIES AND GENERAL INFORMATION

                  Mills Music Trust ("the Trust") was created in 1964 for the
         purpose of acquiring the rights to receive payments of a deferred
         contingent purchase price contract obligation payable by Mills Music,
         Inc. ("Mills"). The contingent payments are determined quarterly, and
         are based on a formula which takes into account gross royalty income
         from certain music copyrights and licenses of Mills, less royalties
         paid and amounts deducted by Mills in accordance with contract terms.

                  Payments from Mills to the Trust are made in March, June,
         September, and December, and include net royalty income of the
         preceding calendar quarter. The payments received are accounted for on
         a cash basis, as are expenses paid. The Declaration of Trust requires
         the distribution of all funds received by the Trust to the Unit holders
         after payment of expenses.

                  The statements of cash receipts and disbursements reflect only
         cash transactions and do not present transactions that would be
         included in financial statements presented on the accrual basis of
         accounting, as contemplated by generally accepted accounting
         principles.

                  There is no book value per unit because cumulative
         distributions are in excess of the initial investment in the Trust.

NOTE 2.  RELATED PARTY TRANSACTIONS

                  The Declaration of Trust provides that each trustee shall
         receive reimbursement for expenses reasonably incurred in the
         performance of his duties and annual compensation of $2,500 per year
         for his services as trustee, provided that such aggregate compensation
         to the trustees as a group may not exceed 3% of the monies received by
         the Trust in any year. The Declaration of Trust further provides for
         reimbursement to the corporate trustee for its clerical and
         administrative services to the Trust. Accordingly, Marine Midland Bank
         receives reimbursement for such services and for services performed as
         Registrar and Transfer Agent. The Declaration of Trust further provides
         that if any trustee performs unusual or extraordinary services,
         reasonable compensation for such services shall be paid, subject to
         certain



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                                                                          Page 4



                                MILLS MUSIC TRUST
             NOTES TO STATEMENTS OF CASH RECEIPTS AND DISBURSEMENTS
                   THREE MONTHS ENDED MARCH 31, 2000 AND 1999
                                   (CONTINUED)

                                   (UNAUDITED)


         limitations and to prior confirmation by a majority in interest of
         Trust Certificate holders. Pursuant to these provisions, disbursements
         to related parties were made as follows for the three months ended
         March 31, 2000 and 1999.

                                                            2000         1999
                                                           ------       -----
                        Trustee Fees:
                             Bernard D. Fischman           $  625       $ 625
                             HSBC Bank USA                    625         625



                        HSBC Bank USA
                             Transfer agent and registrar  $5,268           0




NOTE 3.  FEDERAL INCOME TAXES

                  No provision for income taxes has been made since the
         liability is that of the unit holders and not the Trust.


NOTE 4.  ROYALTIES

                  a)The original (1964) sale agreement assumed by the Trust's
         collecting/paying entity ("EMI") provides for a revised royalty
         calculation when the remittance to the Trust is less than $167,500 for
         the quarter. This occurred in the quarter ended December 31, 1999, for
         which the remittance was $155,717. EMI did not calculate that quarter's
         payment using the revised royalty calculation, and has been notified
         about this matter. Additional monies due to the Trust, if any, under
         the revised calculation would be capped at an amount that, when added
         to the prior distribution, would not exceed $167,500. The timing of the
         receipt of any additional monies due to the Trust is dependent upon
         EMI's ability to provide the information required under the revised
         royalty calculation.

                  b)In addition, EMI made a computational error in its
         remittance for the fourth quarter of 1999, resulting in a $19,000
         overpayment.

         The net effect of (a) and (b) above will reduce the Trust's revenue in
         a future quarter. The maximum revenue effect to the Trust ($19,000), if
         no additional funds are due from EMI, is .07 per unit.


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                                                                          Page 5


                          PART I - FINANCIAL STATEMENTS


Item 2.  Management's Discussion and Analysis of Results of Operations

                  The Trust's receipts from Mills Music, Inc. are derived from
         copyrights established prior to 1964 and such receipts fluctuate based
         upon public interest in the "nostalgia" appeal of older songs.



                           PART II - OTHER INFORMATION

                Items 1 through 6, inclusive, are not applicable.




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                                                                          Page 6



                                   SIGNATURES


         Pursuant to the requirements of the Securities Exchange Act of 1934,
the registrant has duly caused this report to be signed on its behalf by the
undersigned, there unto duly authorized.


                                                   MILLS MUSIC TRUST
                                           -----------------------------------
                                                     (Registrant)





Date May 2, 2000                           By:     BERNARD D. FISCHMAN
     -----------                               -----------------------
                                               Bernard D. Fischman, Trustee




Date May 2, 2000                           By:      MARCIA MARKOWSKI
     -----------                               ---------------------
                                               HSBC Bank USA
                                               Corporate Trustee