<PAGE>

                                                                    Exhibit 10.2

                            SUPPLEMENTAL INDENTURE


          Supplemental Indenture (the "Supplemental Indenture"), dated as of
June 7, 2000, among Domino's Pizza L.L.C., a Michigan limited liability company,
Domino's Pizza PMC, Inc., a Michigan corporation, DP CA Corp., Inc., a Michigan
corporation, DP CA Comm, Inc., a Michigan corporation, and Domino's Pizza
California L.L.C., a California limited liability company, (each a "Guaranteeing
Subsidiary" and collectively, the "Guaranteeing Subsidiaries"), subsidiaries of
Domino's, Inc. (or its permitted successor), a Delaware corporation (the
"Company"), the Company, the other Guarantors (as defined in the Indenture
referred to herein) and IBJ Whitehall Bank & Trust Company, as trustee under the
indenture referred to below (the "Trustee").

                              W I T N E S S E T H

          WHEREAS, the Company has heretofore executed and delivered to the
Trustee an indenture (the "Indenture"), dated as of December 21, 1998, providing
for the issuance of an aggregate principal amount of up to $400.0 million of
10 3/8% Senior Subordinated Notes due 2009 (the "Notes");

          WHEREAS, the Indenture provides that under certain circumstances the
Guaranteeing Subsidiaries shall execute and deliver to the Trustee a
supplemental indenture pursuant to which the Guaranteeing Subsidiaries shall
unconditionally guarantee all of the Company's Obligations under the Notes and
the Indenture on the terms and conditions set forth herein (the "Subsidiary
Guarantee"); and

          WHEREAS, pursuant to Section 9.06 of the Indenture, the Trustee is
authorized to execute and deliver this Supplemental Indenture.

          NOW THEREFORE, in consideration of the foregoing and for other good
and valuable consideration, the receipt of which is hereby acknowledged, the
Guaranteeing Subsidiaries and the Trustee mutually covenant and agree for the
equal and ratable benefit of the Holders of the Notes as follows:

          1.   Capitalized Terms.  Capitalized terms used herein without
definition shall have the meanings assigned to them in the Indenture.

          2.   Agreement to Guarantee.  Each Guaranteeing Subsidiary hereby
agrees as follows:

          (a)  Along with all Guarantors named in the Indenture, to jointly and
               severally Guarantee to each Holder of a Note authenticated and
               delivered by the Trustee and to the Trustee and its successors
               and assigns, irrespective of the validity and enforceability of
               the Indenture, the Notes or the obligations of the Company
               hereunder or thereunder, that:

               (i)  the principal of and interest on the Notes will be promptly
                    paid in full when due, whether at maturity, by acceleration,
                    redemption or otherwise, and interest on the overdue
                    principal of and interest on the Notes, if any, if lawful,
                    and all other obligations of the Company to the Holders or
                    the Trustee hereunder or thereunder will be promptly paid in
                    full or performed, all in accordance with the terms hereof
                    and thereof; and
<PAGE>

               (ii) in case of any extension of time of payment or renewal of
                    any Notes or any of such other obligations, that same will
                    be promptly paid in full when due or performed in accordance
                    with the terms of the extension or renewal, whether at
                    stated maturity, by acceleration or otherwise.  Failing
                    payment when due of any amount so guaranteed or any
                    performance so guaranteed for whatever reason, the
                    Guarantors shall be jointly and severally obligated to pay
                    the same immediately.

          (b)  The obligations hereunder shall be unconditional, irrespective of
               the validity, regularity or enforceability of the Notes or the
               Indenture, the absence of any action to enforce the same, any
               waiver or consent by any Holder of the Notes with respect to
               any provisions hereof or thereof, the recovery of any judgment
               against the Company, any action to enforce the same or any other
               circumstance which might otherwise constitute a legal or
               equitable discharge or defense of a guarantor.

          (c)  The following is hereby waived:  diligence presentment, demand of
               payment, filing of claims with a court in the event of insolvency
               or bankruptcy of the Company, any right to require a proceeding
               first against the Company, protest, notice and all demands
               whatsoever.

          (d)  This Subsidiary Guarantee shall not be discharged except by
               complete performance of the obligations contained in the Notes
               and the Indenture.

          (e)  If any Holder or the Trustee is required by any court or
               otherwise to return to the Company, the Guarantors, or any
               Custodian, trustee, liquidator or other similar official acting
               in relation to either the Company or the Guarantors, any amount
               paid by either to the Trustee or such Holder, this Subsidiary
               Guarantee, to the extent theretofore discharged, shall be
               reinstated in full force and effect.

          (f)  The Guaranteeing Subsidiaries shall not be entitled to any right
               of subrogation in relation to the Holders in respect of any
               obligations guaranteed hereby until payment in full of all
               obligations guaranteed hereby.

          (g)  As between the Guarantors, on the one hand, and the Holders and
               the Trustee, on the other hand, (x) the maturity of the
               obligations guaranteed hereby may be accelerated as provided in
               Article 6 of the Indenture for the purposes of this Subsidiary
               Guarantee, notwithstanding any stay, injunction or other
               prohibition preventing such acceleration in respect of the
               obligations guaranteed hereby, and (y) in the event of any
               declaration of acceleration of such obligations as provided in
               Article 6 of the Indenture, such obligations (whether or not due
               and payable) shall forthwith become due and payable by the
               Guarantors for the purpose of this Subsidiary Guarantee.

          (h)  The Guarantors shall have the right to seek contribution from any
               non-paying Guarantor so long as the exercise of such right does
               not impair the rights of the Holders under the Guarantee.

                                       2
<PAGE>

          (i)  Pursuant to Section 11.03 of the Indenture, after giving effect
               to any maximum amount and any other contingent and fixed
               liabilities that are relevant under any applicable Bankruptcy or
               fraudulent conveyance laws, and after giving effect to any
               collections from, rights to receive contribution from or payments
               made by or on behalf of any other Guarantor in respect of the
               obligations of such other Guarantor under Article 11 of the
               Indenture shall result in the obligations of such Guarantor under
               its Subsidiary Guarantee not constituting a fraudulent transfer
               or conveyance.

          3    Execution and Delivery.  Each Guaranteeing Subsidiary agrees that
the Subsidiary Guarantee shall remain in full force and effect notwithstanding
any failure to endorse on each Note a notation of such Subsidiary Guarantee.

          4.   Guaranteeing Subsidiary May Consolidate, Etc. on Certain Terms.

     (a)  A Guaranteeing Subsidiary may not sell or otherwise dispose of all or
          substantially all of its assets, or consolidate with or merge with or
          into (whether or not such Guaranteeing Subsidiary is the surviving
          Person) another Person unless:

          (i)  immediately after giving effect to such transaction, no Default
               or Event of Default exists; and

          (ii) either:

               (A)  the Person acquiring the property in any such sale or
                    disposition or the Person formed by or surviving any such
                    consolidation or merger assumes all the obligations of such
                    Guaranteeing Subsidiary, pursuant to a supplemental
                    indenture satisfactory to the Trustee; or

               (B)  the Net Proceeds of such sale or other disposition are
                    applied in accordance with the applicable provisions of the
                    Indenture.

     (b)  In case of any such consolidation, merger, sale or conveyance and upon
          the assumption by the successor Person, by supplemental indenture,
          executed and delivered to the Trustee and satisfactory in form to the
          Trustee, of the Subsidiary Guarantee endorsed upon the Notes and the
          due and punctual performance of all of the covenants and conditions of
          the Indenture to be performed by the Guarantor, such successor
          corporation shall succeed to and be substituted for the Guarantor with
          the same effect as if it had been named herein as a Guarantor.  Such
          successor corporation thereupon may cause to be signed any or all of
          the Subsidiary Guarantees to be endorsed upon all of the Notes
          issuable hereunder which theretofore shall not have been signed by the
          Company and delivered to the Trustee.  All the Subsidiary Guarantees
          so issued shall in all respects have the same legal rank and benefit
          under the Indenture as the Subsidiary Guarantees theretofore and
          thereafter issued in accordance with the terms of the Indenture as
          though all of such Subsidiary Guarantees had been issued at the date
          of the execution hereof.

     (c)  Except as set forth in Articles 4 and 5 of the Indenture, and
          notwithstanding clauses (a) and (b) above, nothing contained in the
          Indenture or in any of the Notes shall prevent any consolidation or
          merger of a Guarantor with or into the Company or another Guarantor,
          or shall prevent any sale or conveyance of the property of a Guarantor
          as an entirety or substantially as an entirety to the Company or
          another Guarantor.

                                       3
<PAGE>

          5.   Releases.

     (a)  The Subsidiary Guarantee of a Guarantor will be released (i) in
          connection with any sale or other disposition of all or substantially
          all of the assets of that Guarantor (including by way of merger or
          consolidation), if the disposition is to the Company or another
          Guarantor or if the Company applies the Net Proceeds of that sale or
          other disposition in accordance with the applicable provisions of the
          Indenture, including without limitation Section 4.10 thereof; (ii) in
          connection with any sale of all of the capital stock of a Guarantor,
          if the Company applies the Net Proceeds of that sale in accordance
          with the applicable provisions of the Indenture, including without
          limitation Section 4.10 thereof; (iii) if the Company designates any
          Restricted Subsidiary that is a Guarantor as an Unrestricted
          Subsidiary; or (iv) upon the release or discharge of all guarantees of
          such Guarantor, and all pledges of property or assets of such
          Guarantor securing, all other Indebtedness of the Company and the
          other Guarantors.  Upon delivery by the Company to the Trustee of an
          Officers' Certificate and an Opinion of Counsel to the effect that
          such sale or other disposition was made by the Company in accordance
          with the provisions of the Indenture, including without limitation
          Section 4.10 of the Indenture, the Trustee shall execute any documents
          reasonably required in order to evidence the release of any Guarantor
          from its obligations under its Subsidiary Guarantee.

     (b)  Any Guarantor not released from its obligations under its Subsidiary
          Guarantee shall remain liable for the full amount of principal of and
          interest on the Notes and for the other obligations of any Guarantor
          under the Indenture as provided in Article 11 of the Indenture.

          6.   No Recourse Against Others.  No past, present or future director,
officer, employee, incorporator, stockholder or agent of any Guaranteeing
Subsidiary, as such, shall have any liability for any obligations of the Company
or any Guaranteeing Subsidiary under the Notes, any Subsidiary Guarantee, the
Indenture or this Supplemental Indenture or for any claim based on, in respect
of, or by reason of, such obligations or their creation.  Each Holder of the
Notes by accepting a Note waives and releases all such liability.  The waiver
and release are part of the consideration for issuance of the Notes.  Such
waiver may not be effective to waive liabilities under the federal securities
laws and it is the view of the Commission that such a waiver is against public
policy.

          7.   NEW YORK LAW TO GOVERN. THE INTERNAL LAW OF THE STATE OF NEW YORK
SHALL GOVERN AND BE USED TO CONSTRUE THIS SUPPLEMENTAL INDENTURE BUT WITHOUT
GIVING EFFECT TO APPLICABLE PRINCIPLES OF CONFLICTS OF LAW TO THE EXTENT THAT
THE APPLICATION OF THE LAWS OF ANOTHER JURISDICTION WOULD BE REQUIRED THEREBY.

          8.   Counterparts.  The parties may sign any number of copies of this
Supplemental Indenture.  Each signed copy shall be an original, but all of them
together represent the same agreement.

          9.   Effect of Headings.  The Section headings herein are for
convenience only and shall not affect the construction hereof.

          10   The Trustee.  The Trustee shall not be responsible in any manner
whatsoever for or in respect of the validity or sufficiency of this Supplemental
Indenture or for or in respect of the

                                       4
<PAGE>

recitals contained herein, all of which recitals are made solely by the
Guaranteeing Subsidiaries and the Company.

                                       5
<PAGE>

          IN WITNESS WHEREOF, the parties hereto have caused this Supplemental
Indenture to be duly executed and attested, all as of the date first above
written.

Dated: June 7, 2000


                                 DOMINO'S, INC.


                                 By: /s/ Harry J. Silverman
                                     -------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO


                                 DOMINO'S PIZZA L.L.C.


                                 By: /s/ Harry J. Silverman
                                     -------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO


                                 DOMINO'S PIZZA PMC, INC.


                                 By: /s/ Harry J. Silverman
                                     -------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO


                                 DP CA CORP., INC.


                                 By: /s/ Harry J. Silverman
                                     -------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO


                                 DP CA COMM, INC.


                                 By: /s/ Harry J. Silverman
                                     -------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO
<PAGE>

                                 DOMINO'S PIZZA CALIFORNIA L.L.C.


                                 By: /s/ Harry J. Silverman
                                     ---------------------------------------
                                     Name:  Harry J. Silverman
                                     Title: CFO



                                 THE BANK OF NEW YORK,
                                 as Trustee


                                 By: /s/
                                     ---------------------------------------
                                     Name:
                                     Title: