Exhibit 4.15.1

                                                                        8/1/2000

                             CONE MILLS CORPORATION
                          FIRST SUPPLEMENTAL INDENTURE


         FIRST SUPPLEMENTAL INDENTURE, dated as of the ___ day of ________, 2000
(herein called the "Supplement"), between CONE MILLS CORPORATION, a corporation
duly organized and existing under the laws of the State of North Carolina
(hereinafter referred to as the "Company"), and THE BANK OF NEW YORK, a banking
corporation duly organized and existing under the laws of the State of New York
(hereinafter referred to as the "Trustee"), as Trustee under the Indenture dated
as of February 15, 1995 (the "Indenture") between the Company and the Trustee as
successor trustee to Wachovia Bank of North Carolina, N.A. Capitalized terms
used in this Supplement and not otherwise defined herein shall have the meanings
set forth in the Indenture.

         WHEREAS, the Company has previously issued 8-1/8% Debentures Due March
15, 2005 (the "8-1/8% Debentures") in accordance with the terms of the
Indenture; and

         WHEREAS, the 8-1/8% Debentures constitute the only series of Debentures
issued and outstanding under the Indenture; and

         WHEREAS, on January 28, 2000 the Company entered into certain General
Security Instruments (as such term is defined in the Credit Agreement, dated as
of January 28, 2000 and as from time to time in effect, among the Company, Bank
of America, N.A., as agent and Lender, and the Lenders party thereto) which
General Security Instruments collectively provide (i) for the granting of a
security interest in substantially all of the Company's assets to certain of its
creditors, and (ii) as required by Section 3.9 of the Indenture, for the
granting of a pari passu security interest in the same assets to the Trustee
(the "Trustee's Lien") for the benefit of the Holders of the 8-1/8% Debentures
(the "Holders"); and

         WHEREAS, in accordance with Section 7.2 of the Indenture, the Company
and the Trustee may amend the Indenture or the 8-1/8% Debentures and the rights
of the Holders thereunder with the written consent of the Holders of at least a
majority in principal amount of the 8-1/8% Debentures; provided, that no such
amendment may, without the consent of each Holder, (1) reduce the amount of
8-1/8% Debentures whose Holders must consent to such amendment, (2) reduce the
rate of or extend the time for payment of interest on any 8-1/8% Debenture, (3)
reduce the principal of or extend the final maturity of any 8-1/8% Debenture,
(4) reduce any amount payable on redemption of any 8-1/8% Debenture, (5) make
any 8-1/8% Debenture payable in any coin or currency other than that provided in
the 8-1/8% Debentures, or (6) impair or affect the right of any Holder to
institute suit for payment of the 8-1/8% Debentures; and

         WHEREAS, the Company has solicited consents from the Holders to certain
amendments to the Indenture and to the release of the Trustee's Lien pursuant to
a consent solicitation dated _______, 2000 (as the same may be amended or
extended from time in accordance with its terms, the "Consent Solicitation");
<PAGE>

         WHEREAS, Holders of a majority in principal amount of the 8-1/8%
Debentures have consented to the amendments to the Indenture and to the release
of the Trustee's Lien contained herein; and

         WHEREAS, the Company desires to amend the Indenture and to cause the
Trustee to release the Trustee's Lien in accordance with Section 7.2 thereof and
has determined that the requirements of Section 7.2 of the Indenture have been
satisfied and has requested the Trustee to join with it in the execution and
delivery of this Supplement; all requirements necessary to make this Supplement
a valid instrument, in accordance with its terms, have been met; and the
execution and delivery hereof have been in all respects duly authorized.

         NOW, THEREFORE, for good and valuable consideration the sufficiency of
which is hereby recognized, the Company covenants and agrees with the Trustee as
follows:

                                    ARTICLE I

                           AMENDMENTS TO THE INDENTURE

         Section 1.1 Amendment of Definition of "Consolidated Net Tangible
Assets". The definition of "Consolidated Net Tangible Assets" in Section 1.1 of
the Indenture is hereby amended to read in its entirety as follows:

                  " 'Consolidated Net Tangible Assets' means at any date, the
         total assets appearing on the most recently prepared consolidated
         balance sheet of the Issuer and its Subsidiaries as of the end of a
         fiscal quarter of the Issuer, prepared in accordance with generally
         accepted accounting principles, plus the outstanding balance of any
         accounts receivable securitization facility, less (a) all current
         liabilities as shown on such balance sheet (other than current
         maturities of long-term debt), (b) all intangible assets shown on such
         balance sheet, and (c) all assets that do not constitute collateral
         securing payment of the 11% Debentures. "Intangible assets" means the
         value (net of any applicable reserves), as shown on or reflected in
         such balance sheet of: (i) all trade names, trademarks, licenses,
         patents, copyrights and goodwill; (ii) organizational costs; and (iii)
         deferred charges (other than prepaid items such as insurance, pensions,
         taxes, interest, commissions, rents and similar items and tangible
         assets being amortized); but in no event shall the term "intangible
         assets" include product development costs."

         Section 1.2 Amendment of Definition of "Subsidiary". The definition of
"Subsidiary" in Section 1.1 of the Indenture is hereby amended to read in its
entirety as follows:

                  " 'Subsidiary' means any corporation, association, limited
         liability company, partnership, joint venture or other business entity
         of which at least a majority of the total voting power of outstanding
         securities or other interests entitled (without regard to the
         occurrence of any contingency) to vote in the election of directors,
         managers or trustees thereof is at the time directly or indirectly
         owned or controlled by the Issuer or by one or more Subsidiaries or by
         the Issuer and one or more Subsidiaries; provided, however, that the
         term "Subsidiary" shall not include (i) the joint venture between Cone
         Mills (Mexico), S.A. de C.V. and Compania Industrial de Parras, S.A. de
         C.V., (ii) Cone Mills

                                       2
<PAGE>

         (Mexico), S.A. de C.V. or (iii) any other corporation, association,
         limited liability company, partnership, joint venture or business
         entity substantially all the property of which is located, or
         substantially all of the business of which is carried on, outside the
         United States of America; provided, further, that notwithstanding the
         foregoing, the term "Subsidiary" shall include Cone Receivables II, LLC
         or any other special purpose entity which purchases and securitizes
         accounts receivable of the Company and its Subsidiaries and in which
         the Company and one or more Subsidiaries holds the primary economic
         interest."

         Section 1.3 Addition of Definition of "11% Debentures". "11%
Debentures" means up to $85,000,000 secured subordinated debentures of the
Company issued pursuant to Indenture dated as of the ___day of ______________,
2000 between Cone Mills Corporation and The Bank of New York.

         Section 1.4 Amendment of Section 3.9(i). Section 3.9(i) of the
Indenture is hereby amended to read in its entirety as follows:

                  "(i) liens not permitted by clauses (a) through (h) above or
         (k) below, if at the time of, and after giving effect to, the execution
         and delivery of the security document granting any such lien (or at the
         time of, and after giving effect to, the assumption of any such lien),
         the aggregate amount of all outstanding Indebtedness of the Issuer and
         its Subsidiaries (without duplication) secured by all such liens not so
         permitted by clauses (a) through (h) above or (k) below, together with
         the Attributable Debt in respect of Sale and Lease-Back Transactions
         permitted by paragraph (a) of Section 3.10, does not exceed 55% of
         Consolidated Net Tangible Assets; or"

         Section 1.5 Addition of New Clause (k) to Section 3.9. Section 3.9 of
the Indenture is hereby amended by changing the period at the end of clause (j)
of Section 3.9 to "; or" and adding the following new clause (k) immediately
thereafter:

                  "(k) liens securing the 11% Debentures of the Company or any
         extensions, renewals or replacements thereof; provided, however, that
         the Principal amount of Indebtedness secured thereby shall not exceed
         the Principal amount of Indebtedness so secured at the time of such
         extension, renewal or replacement, and that such extension, renewal or
         replacement shall be limited to all or a part of the assets (or any
         replacements therefor) which secured the lien so extended, renewed or
         replaced."

                                   ARTICLE II

                                 RELEASE OF LIEN

         Section 2.1 Release of Lien. Pursuant to the direction of the Holders
of at least a majority in principal amount of the 8 1/8% Debentures, the Trustee
hereby confirms and consents to the release of the Trustee's Lien effective on
the date hereof and agrees, at the Company's expense, to take such further
actions as the Company may reasonably request to evidence such release or in
furtherance of the purposes of this Section. The Trustee hereby further confirms
that, after giving effect to this Section and the release contemplated hereby,
the

                                       3
<PAGE>

Debentures will be unsecured and any rights which the Trustee or any Holder
might have otherwise or formerly had as a beneficiary of any lien or security
interest created under the General Security Instruments shall be terminated.

                                   ARTICLE III

                                  MISCELLANEOUS

         Section 3.1 Effectiveness of Provisions. This Supplement shall be
effective and binding upon the Company, the Trustee and the Holders as of the
day and year first written above.

         Section 3.2 Execution of Supplement. This Supplement is executed and
shall be construed as an indenture supplemental to the Indenture and, as
provided in the Indenture, this Supplement forms a part thereof.

         Section 3.3 Conflict with Trust Indenture Act. If and to the extent
that any provision hereof limits, qualifies or conflicts with the duties imposed
by Sections 310 through 317, inclusive, of the Trust Indenture Act of 1939, as
amended, such imposed duties shall control.

         Section 3.4 Successors and Assigns. All covenants and agreements in
this Supplement by the Company shall bind its successors and assigns, whether so
expressed or not.

         Section 3.5 Separability Clause. In case any one or more of the
provisions contained in this Supplement, the Indenture or in the Debentures of
any series shall for any reason be held to be invalid, illegal or unenforceable
in any respect, such invalidity, illegality or unenforceability shall not affect
any other provisions of this Supplement, the Indenture or of such Debentures,
but this Supplement, the Indenture and such Debentures shall be construed as if
such invalid or illegal or unenforceable provision had never been contained
herein or therein.

         Section 3.6 Benefits of Supplement. Nothing in this Supplement or in
the Indenture, express or implied, shall give to any person, other than the
parties hereto and their successors hereunder and the Holders (to the extent
specified herein or therein), any benefit or any legal or equitable right,
remedy or claim under this Supplement.

         Section 3.7 Governing Law. This Supplement shall be governed by, and
construed in accordance with, the laws of the State of New York 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.

         Section 3.8 Execution and Counterparts. This Supplement may be executed
in any number of counterparts, each of which shall be deemed to be an original;
but such counterparts shall together constitute but one and the same instrument.

         Section 3.9 Miscellaneous. Except as expressly supplemented by this
Supplement, the Indenture shall remain unchanged and in full force and effect.

                                       4
<PAGE>

         IN WITNESS WHEREOF, the Company and the Trustee have caused this
Supplement to be duly executed by their respective officers thereunto duly
authorized as of the day and year first above written.


                                   CONE MILLS CORPORATION


                                   By:      ____________________________________
                                   Title:   ____________________________________


                                   By:      ____________________________________
                                   Title:   ____________________________________



                                   THE BANK OF NEW YORK, as TRUSTEE


                                   By:      ____________________________________
                                   Title:   ____________________________________





                                       5