<PAGE>
                                                                     EXHIBIT 4.2


         THIS SECURITY IS A GLOBAL SECURITY WITHIN THE MEANING OF THE INDENTURE
HEREINAFTER REFERRED TO AND IS REGISTERED IN THE NAME OF A DEPOSITARY OR A
NOMINEE THEREOF. THIS SECURITY MAY NOT BE TRANSFERRED TO, OR REGISTERED OR
EXCHANGED FOR SECURITIES REGISTERED IN THE NAME OF, ANY PERSON OTHER THAN THE
DEPOSITARY OR A NOMINEE THEREOF AND NO SUCH TRANSFER MAY BE REGISTERED, EXCEPT
IN THE LIMITED CIRCUMSTANCES DESCRIBED IN THE INDENTURE. EVERY SECURITY
AUTHENTICATED AND DELIVERED UPON REGISTRATION OF, TRANSFER OF, OR IN EXCHANGE
FOR OR IN LIEU OF, THIS SECURITY SHALL BE A GLOBAL SECURITY SUBJECT TO THE
FOREGOING, EXCEPT IN SUCH LIMITED CIRCUMSTANCES.

         UNLESS THIS SECURITY IS PRESENTED BY AN AUTHORIZED REPRESENTATIVE OF
THE DEPOSITORY TRUST COMPANY, A NEW YORK CORPORATION, TO THE COMPANY OR ITS
AGENT FOR REGISTRATION OF TRANSFER, EXCHANGE OR PAYMENT, AND ANY SECURITY ISSUED
IS REGISTERED IN THE NAME OF CEDE & CO. OR SUCH OTHER NAME AS IS REQUESTED BY AN
AUTHORIZED REPRESENTATIVE OF THE DEPOSITORY TRUST COMPANY (AND ANY PAYMENT IS
MADE TO CEDE & CO. OR TO SUCH OTHER ENTITY AS IS REQUESTED BY AN AUTHORIZED
REPRESENTATIVE OF THE DEPOSITORY TRUST COMPANY), ANY TRANSFER, PLEDGE OR OTHER
USE HEREOF FOR VALUE OR OTHERWISE BY OR TO ANY PERSON IS WRONGFUL IN AS MUCH AS
THE REGISTERED OWNER HEREOF, CEDE & CO., HAS AN INTEREST HEREIN.

                         ANADARKO PETROLEUM CORPORATION

                              3.25% NOTES DUE 2008

NO.                                                                        U.S.$
CUSIP No. 032511 AV 9

         ANADARKO PETROLEUM CORPORATION, a corporation duly incorporated and
existing under the laws of Delaware (herein called the "Company," which term
includes any successor Person under the Indenture hereinafter referred to), for
value received, hereby promises to pay to CEDE & CO., or registered assigns, the
principal sum of _______________________________ United States Dollars on May 1,
2008, and to pay interest thereon from May 6, 2003, or from the most recent
Interest Payment Date to which interest has been paid or duly provided for,
semi-annually on May 1 and November 1 in each year, commencing November 1, 2003,
at the rate of 3.25% per annum, until the principal hereof is paid or made
available for payment. The interest so payable, and punctually paid or duly
provided for, on any Interest Payment Date will, as provided in such Indenture,
be paid to the Person in whose name this Security (or one or more Predecessor
Securities) is registered at the close of business on the Regular Record Date
for such interest, which shall be April 15 or October 15 (whether or not a
Business Day), as the case may be, next preceding such Interest Payment Date.
Any such interest not so punctually paid or duly provided for shall forthwith
cease to be payable to the







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Holder on such Regular Record Date and shall either be paid to the Person in
whose name this Security (or one or more Predecessor Securities) is registered
at the close of business on a Special Record Date for the payment of such
Defaulted Interest to be fixed by the Trustee, notice of which shall be given to
Holders of Securities of this series not less than 10 days prior to such Special
Record Date, or be paid at such time in any other lawful manner not inconsistent
with the requirements of any securities exchange on which the Securities of this
series may be listed, and upon such notice as may be required by such exchange,
all as more fully provided in said Indenture.

         Payment of the principal of and premium, if any, and interest on this
Security will be made by transfer of immediately available funds to a bank
account in New York, New York designated by the Holder in such coin or currency
of the United States of America as at the time of payment is legal tender for
payment of public and private debts.

         Reference is hereby made to the further provisions of this Security set
forth on the reverse hereof, which further provisions shall for all purposes
have the same effect as if set forth at this place.

         Unless the certificate of authentication hereon has been executed by
the Trustee referred to on the reverse hereof by manual signature, this Security
shall not be entitled to any benefit under the Indenture or be valid or
obligatory for any purpose.



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         IN WITNESS WHEREOF, the Company has caused this instrument to be duly
executed.

Dated: May 6, 2003

                                 ANADARKO PETROLEUM CORPORATION



                                 By:
                                          --------------------------------------
                                          Name:
                                          Title:



         Attest:

         ----------------------------
         Name:
         Title:



                          CERTIFICATE OF AUTHENTICATION



         This is one of the Securities of the series designated therein referred
to in the within-mentioned Indenture.

                                 THE BANK OF NEW YORK, AS TRUSTEE



                                 By:
                                          --------------------------------------
                                          Authorized Signatory


<PAGE>


                         ANADARKO PETROLEUM CORPORATION
                              3.25% NOTES DUE 2008

         This Security is one of a duly authorized issue of Securities of the
Company (the "Securities"), issued and to be issued in one or more series under
an Indenture dated as of March 9, 2001 (the "Indenture"), between the Company
and The Bank of New York, as Trustee (the "Trustee," which term includes any
successor trustee under the Indenture), to which Indenture and all indentures
supplemental thereto reference is hereby made for a statement of the respective
rights, limitations of rights, obligations, duties and immunities thereunder of
the Company, the Trustee and the Holders of the Securities and of the terms upon
which the Securities are, and are to be, authenticated and delivered. This
Security is one of the series designated on the face hereof.

         The Securities of this series are not redeemable prior to Stated
Maturity.

         If an Event of Default with respect to the Securities of this series
shall occur and be continuing, the principal of the Securities of this series
may be declared due and payable in the manner and with the effect provided in
the Indenture.

         The Indenture permits, with certain exceptions as therein provided, the
amendment thereof and the modification of the rights and obligations of the
Company and the rights of the Holders of the Securities of each series to be
affected under the Indenture at any time by the Company and the Trustee with the
consent of the Holders of a majority in aggregate principal amount of the
Outstanding Securities of each series to be affected. The Indenture also
contains provisions permitting the Holders of specified percentages in principal
amount of the Securities of each series at the time Outstanding, on behalf of
the Holders of all Securities of such series, to waive compliance by the Company
with certain provisions of the Indenture and certain past defaults under the
Indenture and their consequences. Any such consent or waiver by the Holder of
this Security shall be conclusive and binding upon such Holder and upon all
future Holders of this Security and of any Security issued upon the registration
of transfer hereof or in exchange herefor or in lieu hereof, whether or not
notation of such consent or waiver is made upon this Security.

         No reference herein to the Indenture and no provision of this Security
or of the Indenture shall alter or impair the obligation of the Company, which
is absolute and unconditional, to pay the principal of, premium, if any, and
interest on this Security at the times, place(s) and rate, and in the coin or
currency, herein prescribed.

         This Global Security or portion hereof may not be exchanged for
Definitive Securities except in the limited circumstances provided in the
Indenture.

         The holders of beneficial interests in this Global Security will not be
entitled to receive physical delivery of Definitive Securities except as
described in the Indenture and will not be considered the Holders hereof for any
purpose under the Indenture.

         The Securities of this series are issuable only in registered form,
without coupons, in denominations of U.S. $1,000 and any integral multiple
thereof. As provided in the Indenture and subject to certain limitations therein
set forth, the Securities of this series are exchangeable




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for a like aggregate principal amount of Securities of this series of a
different authorized denomination, as requested by the Holder surrendering the
same.

         No service charge shall be made for any such registration of transfer
or exchange, but the Company may require payment of a sum sufficient to cover
any transfer tax or other similar governmental charge payable in connection
therewith.

         Prior to due presentment of this Security for registration of transfer,
the Company, the Trustee and any agent of the Company or the Trustee may treat
the Person in whose name this Security is registered as the owner hereof for all
purposes, whether or not this Security be overdue, and neither the Company, the
Trustee nor any such agent shall be affected by notice to the contrary.

         No recourse under or upon any obligation, covenant or agreement of or
contained in the Indenture or of or contained in any Security, or for any claim
based thereon or otherwise in respect thereof, or in any Security, or because of
the creation of any indebtedness represented thereby, shall be had against any
incorporator, stockholder, officer or director, as such, past, present or
future, of the Company or of any successor Person, either directly or through
the Company or any successor Person, whether by virtue of any constitution,
statute or rule of law, or by the enforcement of any assessment, penalty or
otherwise; it being expressly understood that all such liability is hereby
expressly waived and released by the acceptance hereof and as a condition of,
and as part of the consideration for, the Securities and the execution of the
Indenture.

         The Indenture provides that the Company (a) will be discharged from any
and all obligations in respect of the Securities (except for certain obligations
described in the Indenture), or (b) need not comply with certain restrictive
covenants of the Indenture, in each case if the Company deposits, in trust, with
the Trustee money or U.S. Government Obligations (or a combination thereof)
which through the payment of interest thereon and principal thereof in
accordance with their terms will provide money, in an amount sufficient to pay
all the principal of and interest on the Securities, but such money need not be
segregated from other funds except to the extent required by law.

         All terms used in this Security which are defined in the Indenture
shall have the meanings assigned to them in the Indenture.

         THIS SECURITY SHALL BE GOVERNED BY AND CONSTRUED IN ACCORDANCE WITH THE
LAWS OF THE STATE OF NEW YORK.