POGO PRODUCING COMPANY


                               GUARANTEE AGREEMENT


                                  POGO TRUST I

                             ----------------------

                            Dated as of June 2, 1999

                             ----------------------





                                TABLE OF CONTENTS


                                                                                    PAGE
                                                                                    ----
                                                                                 
                           ARTICLE 1
                          DEFINITIONS

SECTION 1.01.  DEFINITIONS.............................................................1

                           ARTICLE 2
                      TRUST INDENTURE ACT

SECTION 2.01.  TRUST INDENTURE ACT; APPLICATION........................................4
SECTION 2.02.  LISTS OF HOLDERS OF PREFERRED SECURITIES................................5
SECTION 2.03.  REPORTS BY THE GUARANTEE TRUSTEE........................................5
SECTION 2.04.  PERIODIC REPORTS TO THE GUARANTEE TRUSTEE...............................5
SECTION 2.05.  EVIDENCE OF COMPLIANCE WITH CONDITIONS PRECEDENT........................5
SECTION 2.06.  EVENTS OF DEFAULT; WAIVER...............................................5
SECTION 2.07.  DISCLOSURE OF INFORMATION...............................................6
SECTION 2.08.  CONFLICTING INTEREST....................................................6

                           ARTICLE 3
      POWERS, DUTIES AND RIGHTS OF THE GUARANTEE TRUSTEE

SECTION 3.01.  POWERS AND DUTIES OF THE GUARANTEE TRUSTEE..............................6
SECTION 3.02.  CERTAIN RIGHTS AND DUTIES OF THE GUARANTEE TRUSTEE......................7
SECTION 3.03.  NOT RESPONSIBLE FOR RECITALS OR ISSUANCE OF GUARANTEE...................9
SECTION 3.04.  THE GUARANTEE TRUSTEE MAY OWN PREFERRED SECURITIES......................9
SECTION 3.05.  MONEYS RECEIVED BY THE GUARANTEE TRUSTEE TO BE HELD IN
               TRUST WITHOUT INTEREST..................................................9

                           ARTICLE 4
                       GUARANTEE TRUSTEE

SECTION 4.01.  QUALIFICATIONS..........................................................9
SECTION 4.02.  APPOINTMENT, REMOVAL AND RESIGNATION OF THE GUARANTEE
               TRUSTEE................................................................10

                           ARTICLE 5
                           GUARANTEE

SECTION 5.01.  GUARANTEE..............................................................10
SECTION 5.02.  WAIVER OF NOTICE.......................................................11
SECTION 5.03.  OBLIGATIONS NOT AFFECTED...............................................11
SECTION 5.04.  ENFORCEMENT OF GUARANTEE...............................................12
SECTION 5.05.  GUARANTEE OF PAYMENT...................................................12
SECTION 5.06.  SUBROGATION............................................................12



                                       i



                                                                                    PAGE
                                                                                    ----
                                                                                 

SECTION 5.07.  INDEPENDENT OBLIGATIONS................................................12

                           ARTICLE 6
           LIMITATION OF TRANSACTIONS; SUBORDINATION

SECTION 6.01.  LIMITATION OF TRANSACTIONS.............................................13
SECTION 6.02.  SUBORDINATION..........................................................13

                           ARTICLE 7
                          TERMINATION

SECTION 7.01.  TERMINATION............................................................14

                           ARTICLE 8
           LIMITATION OF LIABILITY; INDEMNIFICATION

SECTION 8.01.  EXCULPATION............................................................14
SECTION 8.02.  INDEMNIFICATION........................................................14
SECTION 8.03.  SURVIVE TERMINATION....................................................15

                           ARTICLE 9
                         MISCELLANEOUS

SECTION 9.01.  SUCCESSORS AND ASSIGNS.................................................15
SECTION 9.02.  AMENDMENTS.............................................................15
SECTION 9.03.  NOTICES................................................................15
SECTION 9.04.  GENDERS................................................................16
SECTION 9.05.  BENEFIT................................................................16
SECTION 9.06.  GOVERNING LAW..........................................................16
SECTION 9.07.  COUNTERPARTS...........................................................16
SECTION 9.08.  LIMITED LIABILITY......................................................16


                                       ii



                               GUARANTEE AGREEMENT

         This GUARANTEE AGREEMENT, dated as of June 2, 1999, is executed and
delivered by Pogo Producing Company, a Delaware corporation (the "Guarantor"),
and Wilmington Trust Company, a Delaware banking corporation, as the initial
Guarantee Trustee (as defined herein) for the benefit of the Holders (as defined
herein) from time to time of the Preferred Securities (as defined herein) of
Pogo Trust I, a Delaware statutory business trust (the "Issuer").

         WHEREAS, pursuant to an Amended and Restated Declaration of Trust
(the "Declaration"), dated as of June 2, 1999 among the trustees of the
Issuer named therein, Pogo Producing Company, as Sponsor, and the Holders
from time to time of preferred undivided beneficial interests in the assets
of the Issuer, the Issuer may issue up to $150,000,000 aggregate liquidation
amount of its 6 1/2% Cumulative Quarterly Income Convertible Preferred
Securities, Series A (the "Preferred Securities") representing preferred
undivided beneficial interests in the assets of the Issuer and having the
terms set forth in Exhibit B to the Declaration, of which $150,000,000
aggregate liquidation amount of Preferred Securities is being issued as of
the date hereof; and

         WHEREAS, as incentive for the Holders to purchase Preferred Securities,
the Guarantor desires to irrevocably and unconditionally agree, to the extent
set forth herein, to pay to the Holders the Guarantee Payments (as defined
herein) and to make certain other payments on the terms and conditions set forth
herein; and

         NOW, THEREFORE, in consideration of the purchase by the initial
purchasers thereof of Preferred Securities, which purchase the Guarantor hereby
agrees shall benefit the Guarantor, the Guarantor executes and delivers this
Guarantee Agreement for the benefit of the Holders from time to time.


                                    ARTICLE 1
                                   DEFINITIONS

         SECTION 1.01.  DEFINITIONS. (a)  Capitalized terms used in this
Guarantee Agreement but not defined in the preamble above have the respective
meanings assigned to them in this Section 1.01;

         (b) a term defined anywhere in this Guarantee Agreement has the same
meaning throughout;

         (c) all references to "the Guarantee Agreement" or "this Guarantee
Agreement" are to this Guarantee Agreement as modified, supplemented or amended
from time to time;

         (d) all references in this Guarantee Agreement to Articles and
Sections are to Articles and Sections of this Guarantee Agreement unless
otherwise specified;

         (e) a term defined in the Trust Indenture Act has the same meaning
when used in this Guarantee Agreement unless otherwise defined in this Guarantee
Agreement or unless the context otherwise requires; and

         (f) a reference to the singular includes the plural and vice versa.



         "Affiliate" means, with respect to any specified Person, any other
Person directly or indirectly controlling or controlled by or under direct or
indirect common control with such specified Person. For the purposes of this
definition, "control," when used with respect to any Person, means the power
to direct the management and policies of such Person, directly or indirectly,
whether through the ownership of voting securities, by contract or otherwise;
and the terms "controlling" and "controlled" have meanings correlative to the
foregoing. For purposes of this definition, beneficial ownership of 10% or
more of the voting common equity (on a fully diluted basis) or options or
warrants to purchase such equity (but only if exercisable at the date of
determination or within 60 days thereof) of a Person shall be deemed to
constitute control of such Person. No Person shall be deemed an Affiliate of
an oil and gas royalty trust solely by virtue of ownership of units of
beneficial interest in such trust.

         "Commission" means the Securities and Exchange Commission.

         "Common Securities" means the securities representing common undivided
beneficial interests in the assets of the Issuer, having the terms set forth in
Exhibit C to the Declaration.

         "Common Stock" means the common stock, $1.00 par value per share, of
the Guarantor, including associated preferred share purchase rights.

         "Debentures" means the series of unsecured junior subordinated
convertible debentures issued by the Guarantor under the Indenture to the
Property Trustee and entitled the "6 1/2% Junior Subordinated Convertible
Debentures, Series A due 2029."

         "Declaration" has the meaning set forth in the first WHEREAS clause
above.

         "Distributions" means the periodic distributions and other payments
payable to Holders in accordance with the terms of the Preferred Securities set
forth in Exhibit B to the Declaration.

         "Event of Default" means a default by the Guarantor on any of its
payment or other obligations under this Guarantee Agreement; PROVIDED, HOWEVER,
that, except with respect to a default in payment of any Guarantee Payment, any
such default shall constitute an Event of Default only if the Guarantor shall
have received notice of such default and shall not have cured such default
within 30 days after receipt of such notice.

         "Guarantee Payments" means the following payments or distributions,
without duplication, with respect to the Preferred Securities, to the extent not
paid or made by or on behalf of the Issuer: (i) any accumulated and unpaid
Distributions, (ii) the Redemption Price, including all accumulated and unpaid
Distributions to the date of redemption, with respect to the Preferred
Securities called for redemption by the Issuer but in each of (i) and (ii) only
if and to the extent that in each case the Guarantor has made corresponding
payments to the Property Trustee of interest or principal or premium, if any, on
the Debentures and (iii) upon a voluntary or involuntary dissolution, winding-up
or termination of the Issuer (other than in connection with the distribution of
Debentures to Holders in exchange for Preferred Securities or the redemption of
all the Preferred Securities upon the maturity or redemption of the Debentures
as provided in the Declaration), the lesser of (a) the

                                       2


aggregate of the liquidation amount and all accumulated and unpaid
Distributions on the Preferred Securities to the date of payment, to the
extent the Issuer has funds on hand legally available therefor, and (b) the
amount of assets of the Issuer remaining available for distribution to
Holders in liquidation of the Issuer as required by applicable law (in either
case, the "Liquidation Distribution").

         "Guarantee Trustee" means Wilmington Trust Company, a Delaware banking
corporation, until a Successor Guarantee Trustee has been appointed and has
accepted such appointment pursuant to the terms of this Guarantee Agreement, and
thereafter means each such Successor Guarantee Trustee.

         "Holder" means any holder, as registered on the books and records of
the Issuer, of any Preferred Securities; PROVIDED, HOWEVER, that in determining
whether the holders of the requisite percentage of Preferred Securities have
given any request, notice, consent or waiver hereunder, "Holder" shall not
include the Guarantor or any Affiliate of the Guarantor.

         "Indemnified Person" means the Guarantee Trustee, any Affiliate of the
Guarantee Trustee, and any officers, directors, shareholders, members, partners,
employees, representatives or agents of the Guarantee Trustee.

         "Indenture" means the Junior Subordinated Indenture dated as of June
1, 1999 between the Guarantor and Wilmington Trust Company, as trustee, as
supplemented by Supplemental Indenture No. 1 thereto dated as of June 1, 1999
(the "Supplemental Indenture"), pursuant to which the Debentures are to be
issued to the Property Trustee.

         "Liquidation Distribution" has the meaning specified in the
definition of Guarantee Payments.

         "Majority in liquidation amount of the Preferred Securities" means,
except as otherwise required by the Trust Indenture Act, Holder(s) of
outstanding Preferred Securities voting together as a single class, who are the
record owners of Preferred Securities whose liquidation amount (including the
stated amount that would be paid on redemption, liquidation or otherwise, plus
accumulated and unpaid Distributions to the date upon which the voting
percentages are determined) represents more than 50% of the liquidation amount
of all outstanding Preferred Securities.

         "Officers' Certificate" means, with respect to any Person, a
certificate signed by the Chairman of the Board, the Chief Executive Officer,
the President or a Vice President, and by the Treasurer, an Associate Treasurer,
an Assistant Treasurer, the Controller, the Secretary or an Assistant Secretary,
of such Person, and delivered to the Guarantee Trustee. One of the officers
signing an Officers' Certificate given pursuant to Section 2.04 shall be the
principal executive, financial or accounting officer of the Guarantor. Any
Officers' Certificate delivered with respect to compliance with a condition or
covenant provided for in this Guarantee Agreement shall include:

           (i) a statement that each officer signing the Officers' Certificate
         has read the covenant or condition and the definitions relating
         thereto;

                                       4


           (ii) a brief statement of the nature and scope of the examination or
         investigation undertaken by each officer in rendering the Officers'
         Certificate;

           (iii) a statement that each officer has made such examination or
         investigation as, in such officer's opinion, is necessary to enable
         such officer to express an informed opinion as to whether or not such
         covenant or condition has been complied with; and

           (iv) a statement as to whether, in the opinion of each such officer,
         such condition or covenant has been complied with.

         "Person" means a legal person, including any individual, corporation,
estate, partnership, joint venture, association, joint stock company, limited
liability company, trust, unincorporated association or government or any agency
or political subdivision thereof, or any other entity of whatever nature.

         "Preferred Securities" has the meaning set forth in the first WHEREAS
clause above.

         "Property Trustee" means the Person acting as Property Trustee under
the Declaration.

         "Redemption Price" means the amount payable on redemption of the
Preferred Securities in accordance with the terms of the Preferred Securities.

         "Responsible Officer" means, when used with respect to the Guarantee
Trustee, any officer within the corporate trust department of the Guarantee
Trustee, including any vice president, assistant vice president, assistant
secretary, assistant treasurer, trust officer or any other officer of the
Guarantee Trustee who customarily performs functions similar to those performed
by the Persons who at the time shall be such officers, respectively, or to whom
any corporate trust matter is referred because of such Person's knowledge of and
familiarity with the particular subject and who shall have direct responsibility
for the administration of this Guarantee Agreement.

         "Successor Guarantee Trustee" means a successor Guarantee Trustee
possessing the qualifications to act as a Guarantee Trustee under Section 4.01.

         "Trust Indenture Act" means the Trust Indenture Act of 1939, as
amended.

                                    ARTICLE 2
                               TRUST INDENTURE ACT

         SECTION 2.01.  TRUST INDENTURE ACT; APPLICATION. (a) This Guarantee
Agreement is subject to the provisions of the Trust Indenture Act that are
required to be part of this Guarantee Agreement and shall, to the extent
applicable, be governed by such provisions;

           (b) if and to the extent that any provision of this Guarantee
Agreement limits, qualifies or conflicts with the duties imposed by Sections 310
to 317, inclusive, of the Trust Indenture Act, such imposed duties shall
control; and

                                       4



           (c) the application of the Trust Indenture Act to this Guarantee
Agreement shall not affect the nature of the Preferred Securities as equity
securities representing preferred undivided beneficial interests in the assets
of the Issuer.

         SECTION 2.02. LISTS OF HOLDERS OF PREFERRED SECURITIES. (a) The
Guarantor shall provide the Guarantee Trustee (unless the Guarantee Trustee is
otherwise the registrar of the Preferred Securities) (i) within 14 days after
each record date for payment of Distributions, a list, in such form as the
Guarantee Trustee may reasonably require, of the names and addresses of the
Holders ("List of Holders") as of such date, and (ii) at any other time within
30 days of receipt by the Guarantor of a written request for a List of Holders
as of a date no more than 14 days before such List of Holders is given to the
Guarantee Trustee; PROVIDED, that the Guarantor shall not be obligated to
provide such List of Holders at any time that the List of Holders does not
differ from the most recent List of Holders given to the Guarantee Trustee by
the Guarantor. The Guarantee Trustee shall preserve, in as current a form as is
reasonably practicable, all information contained in the List of Holders given
to it; PROVIDED, that the Guarantee Trustee may destroy any List of Holders
previously given to it on receipt of a new List of Holders.

           (b) the Guarantee Trustee shall comply with its obligations under
 Sections 310(b), 311 and 312(b) of the Trust Indenture Act.

         SECTION 2.03. REPORTS BY THE GUARANTEE TRUSTEE. Within 60 days after
May 15 of each year, commencing May 15, 2000, the Guarantee Trustee shall
provide to the Holders such reports as are required by Section 313 of the
Trust Indenture Act, if any, in the form, in the manner and at the times
provided by Section  313 of the Trust Indenture Act. The Guarantee Trustee
shall also comply with the other requirements of Section 313 of the Trust
Indenture Act. A copy of each such report shall, at the time of such
transmission to the Holders, be filed by the Guarantee Trustee with the
Guarantor, with each stock exchange upon which any Preferred Securities are
listed (if so listed) and also with the Commission. The Guarantor agrees to
notify the Guarantee Trustee when any Preferred Securities become listed on
any stock exchange and any delisting thereof.

         SECTION 2.04.  PERIODIC REPORTS TO THE GUARANTEE TRUSTEE.  The
Guarantor shall provide to the Guarantee Trustee, the Commission and the
Holders, as applicable, such documents, reports and information as required
by Section 314(a)(1)-(3) (if any) of the Trust Indenture Act and the
compliance certificates required by Section 314(a)(4) and (c) of the Trust
Indenture Act, any such certificates to be provided in the form, in the
manner and at the times required by Section 314(a)(4) and (c) of the Trust
Indenture Act (PROVIDED that any certificate to be provided pursuant to
Section 314(a)(4) of the Trust Indenture Act shall be provided within 120
days of the end of each fiscal year of the Guarantor).

         SECTION 2.05. EVIDENCE OF COMPLIANCE WITH CONDITIONS PRECEDENT. The
Guarantor shall provide to the Guarantee Trustee such evidence of compliance
with any conditions precedent, if any, provided for in this Guarantee Agreement
which relate to any of the matters set forth in Section 314(c) of the Trust
Indenture Act. Any certificate or opinion required to be given by an officer
pursuant to Section 314(c) may be given in the form of an Officers' Certificate.

         SECTION 2.06. EVENTS OF DEFAULT; WAIVER. (a) The Holders of a Majority
in liquidation amount of the Preferred Securities may, by vote, on behalf of the
Holders, waive any past Event of

                                      6


Default and its consequences. Upon such waiver, any such Event of Default
shall cease to exist, and any Event of Default arising therefrom shall be
deemed to have been cured, for every purpose of this Guarantee Agreement, but
no such waiver shall extend to any subsequent or other default or Event of
Default, or impair any right consequent thereon.

           (b) The right of any Holder to receive payment of the Guarantee
Payments in accordance with this Guarantee Agreement, or to institute suit for
the enforcement of any such payment, shall not be impaired without the consent
of each such Holder.

         SECTION 2.07. DISCLOSURE OF INFORMATION. The disclosure of information
as to the names and addresses of the Holders in accordance with Section 312 of
the Trust Indenture Act, regardless of the source from which such information
was derived, shall not be deemed to be a violation of any existing law, or any
law hereafter enacted which does not specifically refer to Section 312 of the
Trust Indenture Act, nor shall the Guarantee Trustee be held accountable by
reason of mailing any material pursuant to a request made under Section 312(b)
of the Trust Indenture Act.

         SECTION 2.08. CONFLICTING INTEREST. The Declaration shall be deemed to
be specifically described in this Guarantee Agreement for the purposes of clause
(i) of the first proviso contained in Section 310(b) of the Trust Indenture Act.


                                    ARTICLE 3
               POWERS, DUTIES AND RIGHTS OF THE GUARANTEE TRUSTEE

         SECTION 3.01. POWERS AND DUTIES OF THE GUARANTEE TRUSTEE. (a) This
Guarantee Agreement shall be held by the Guarantee Trustee in trust for the
benefit of the Holders. The Guarantee Trustee shall not transfer its right,
title and interest in this Guarantee Agreement to any Person except a Successor
Guarantee Trustee on acceptance by such Successor Guarantee Trustee of its
appointment to act as Guarantee Trustee or to a Holder exercising his or her
rights pursuant to Section 5.04(iv). The right, title and interest of the
Guarantee Trustee to this Guarantee Agreement shall vest automatically in each
Person who may hereafter be appointed as Guarantee Trustee in accordance with
Article 4. Such vesting and cessation of title shall be effective whether or not
conveyancing documents have been executed and delivered.

           (b) If an Event of Default has occurred and is continuing, the
Guarantee Trustee shall enforce this Guarantee Agreement for the benefit of the
Holders.

           (c) This Guarantee Agreement and all moneys received by the Property
Trustee in respect of the Guarantee Payments will not be subject to any right,
charge, security interest, lien or claim of any kind in favor of, or for the
benefit of, the Guarantee Trustee or its agents or their creditors.

           (d) The Guarantee Trustee shall, within 90 days after the occurrence
of an Event of Default known to a Responsible Officer of the Guarantee Trustee,
transmit by mail, first class postage prepaid, to the Holders, as their names
and addresses appear upon the List of Holders, notice of all such Events of
Default, unless such defaults shall have been cured before the giving of such
notice; PROVIDED, that, the Guarantee Trustee shall be protected in withholding
such notice if and so long as the board of directors, the executive committee,
or a trust committee of directors and/or Responsible

                                       6


Officers, of the Guarantee Trustee in good faith determine that the
withholding of such notice is in the interests of the Holders. The Guarantee
Trustee shall not be deemed to have knowledge of any Event of Default except
any Event of Default as to which the Guarantee Trustee shall have received
written notice or a Responsible Officer charged with the administration of
this Guarantee Agreement shall have obtained written notice of such Event of
Default.

           (e) The Guarantee Trustee shall continue to serve as a trustee until
a Successor Guarantee Trustee has been appointed and accepted that appointment
in accordance with Article 4.

         SECTION 3.02.  CERTAIN RIGHTS AND DUTIES OF THE GUARANTEE TRUSTEE.
(a)  The Guarantee Trustee, before the occurrence of an Event of Default and
after the curing or waiving of all Events of Default that may have occurred,
shall undertake to perform only such duties as are specifically set forth in
this Guarantee Agreement, and no implied covenants shall be read into this
Guarantee Agreement against the Guarantee Trustee.  In case an Event of
Default has occurred (that has not been cured or waived pursuant to Section
2.06), the Guarantee Trustee shall exercise such of the rights and powers
vested in it by this Guarantee Agreement, and use the same degree of care and
skill in its exercise thereof, as a prudent person would exercise or use
under the circumstances in the conduct of his or her own affairs.

           (b) No provision of this Guarantee Agreement shall be construed to
relieve the Guarantee Trustee from liability for its own negligent action, its
own negligent failure to act or its own willful misconduct, except that:

           (i) prior to the occurrence of an Event of Default and after the
         curing or waiving of all such Events of Default that may have occurred:

                        (A) the duties and obligations of the Guarantee Trustee
                  shall be determined solely by the express provisions of this
                  Guarantee Agreement, and the Guarantee Trustee shall not be
                  liable except for the performance of such duties and
                  obligations as are specifically set forth in this Guarantee
                  Agreement, and no implied covenants or obligations shall be
                  read into this Guarantee Agreement against the Guarantee
                  Trustee; and

                        (B) in the absence of bad faith on the part of the
                  Guarantee Trustee, the Guarantee Trustee may conclusively
                  rely, as to the truth of the statements and the correctness of
                  the opinions expressed therein, upon any certificates or
                  opinions furnished to the Guarantee Trustee and conforming to
                  the requirements of this Guarantee Agreement; but in the case
                  of any such certificates or opinions that by any provision
                  hereof or the Trust Indenture Act are specifically required to
                  be furnished to the Guarantee Trustee, the Guarantee Trustee
                  shall be under a duty to examine the same to determine whether
                  or not they conform to the requirements of this Guarantee
                  Agreement or the Trust Indenture Act, as the case may be;

          (ii) the Guarantee Trustee shall not be liable for any error of
         judgment made in good faith by a Responsible Officer of the Guarantee
         Trustee, unless it shall be proved that


                                       7




         the Guarantee Trustee was negligent in ascertaining the pertinent facts
         upon which such judgment was made;

           (iii) the Guarantee Trustee shall not be liable with respect to any
         action taken or omitted to be taken by it in good faith in accordance
         with the direction of the Holders of a Majority in liquidation amount
         of Preferred Securities relating to the time, method and place of
         conducting any proceeding for any remedy available to the Guarantee
         Trustee, or exercising any trust or power conferred upon the Guarantee
         Trustee under this Guarantee Agreement; and

           (iv)  no provision of this Guarantee Agreement shall require the
         Guarantee Trustee to expend or risk its own funds or otherwise incur
         personal financial liability in the performance of any of its duties or
         in the exercise of any of its rights or powers, if it shall have
         reasonable grounds for believing that the repayment of such funds or
         liability is not reasonably assured to it under the terms of this
         Guarantee Agreement or adequate indemnity against such risk or
         liability is not reasonably assured to it.

         (c) Subject to the provisions of Section 3.02(a) and (b):

           (i)   whenever in the administration of this Guarantee Agreement, the
         Guarantee Trustee shall deem it desirable that a matter be proved or
         established prior to taking, suffering or omitting any action
         hereunder, the Guarantee Trustee (unless other evidence is herein
         specifically prescribed) may, in the absence of bad faith on its part,
         request and rely upon an Officers' Certificate, which, upon receipt of
         such request, shall be promptly delivered by the Guarantor;

           (ii)  the Guarantee Trustee (A) may consult with counsel (which may
         be counsel to the Guarantor or any of its Affiliates and may include
         any of its employees) selected by it in good faith and with due care
         and the written advice or opinion of such counsel with respect to legal
         matters shall be full and complete authorization and protection in
         respect of any action taken, suffered or omitted by it hereunder in
         good faith and in reliance thereon and in accordance with such advice
         and opinion and (B) shall have the right at any time to seek
         instructions concerning the administration of this Guarantee Agreement
         from any court of competent jurisdiction;

           (iii) the Guarantee Trustee may execute any of the trusts or powers
         hereunder or perform any duties hereunder either directly or by or
         through agents or attorneys, and the Guarantee Trustee shall not be
         responsible for any misconduct or negligence on the part of any agent
         or attorney appointed by it in good faith and with due care;

           (iv)  the Guarantee Trustee shall be under no obligation to exercise
         any of the rights or powers vested in it by this Guarantee Agreement at
         the request or direction of any Holder, unless such Holder shall have
         offered to the Guarantee Trustee security and indemnity satisfactory to
         the Guarantee Trustee against the costs, expenses (including its
         attorneys' fees and expenses) and liabilities that might be incurred by
         it in complying with such request or direction; PROVIDED that nothing
         contained in this clause (iv) shall relieve the Guarantee

                                      8




         Trustee of the obligation, upon the occurrence of an Event of Default
         (which has not been cured or waived) to exercise such of the rights and
         powers vested in it by this Guarantee Agreement, and to use the same
         degree of care and skill in this exercise as a prudent person would
         exercise or use under the circumstances in the conduct of his or her
         own affairs; and

           (v)   any action taken by the Guarantee Trustee or its agents
         hereunder shall bind the Holders and the signature of the Guarantee
         Trustee or its agents alone shall be sufficient and effective to
         perform any such action; and no third party shall be required to
         inquire as to the authority of the Guarantee Trustee to so act, or as
         to its compliance with any of the terms and provisions of this
         Guarantee Agreement, both of which shall be conclusively evidenced by
         the Guarantee Trustee's or its agent's taking such action.

         SECTION 3.03. NOT RESPONSIBLE FOR RECITALS OR ISSUANCE OF GUARANTEE.
The recitals contained in this Guarantee Agreement shall be taken as the
statements of the Guarantor and the Guarantee Trustee does not assume any
responsibility for their correctness. The Guarantee Trustee makes no
representations as to the validity or sufficiency of this Guarantee Agreement.

         SECTION 3.04. THE GUARANTEE TRUSTEE MAY OWN PREFERRED SECURITIES. The
Guarantee Trustee, in its individual or any other capacity, may become the owner
or pledgee of Preferred Securities and may otherwise deal with the Guarantor
with the same rights it would have if it were not Guarantee Trustee.

         SECTION 3.05. MONEYS RECEIVED BY THE GUARANTEE TRUSTEE TO BE HELD IN
TRUST WITHOUT INTEREST. All moneys received by the Guarantee Trustee shall,
until used or applied as herein provided, be held in trust for the purposes for
which they were received, but need not be segregated from other funds except to
the extent required by law. The Guarantee Trustee shall be under no liability
for interest on any moneys received by it hereunder except such as it may agree
in writing to pay thereon.


                                    ARTICLE 4
                                GUARANTEE TRUSTEE

         SECTION 4.01.  QUALIFICATIONS.  There shall at all times be a Guarantee
Trustee that shall:

           (i)  not be an Affiliate of the Guarantor; and

           (ii) be a national banking association or corporation organized and
         doing business under the laws of the United States of America or any
         State or Territory thereof or of the District of Columbia, or a
         corporation or Person permitted by the Commission to act as an
         institutional trustee under the Trust Indenture Act, authorized under
         such laws to exercise corporate trust powers, having a combined capital
         and surplus of at least $50,000,000, and subject to supervision or
         examination by Federal, State, Territorial or District of Columbia
         authority. If such corporation publishes reports of condition at least
         annually, pursuant to law or to the requirements of the supervising or
         examining authority referred to above, then for the purposes of this
         clause (ii), the combined capital and surplus of such corporation shall

                                      9


         be deemed to be its combined capital and surplus as set forth in its
         most recent report of condition so published.

         If at any time the Guarantee Trustee shall cease to satisfy the
requirements of clauses (i) and (ii) above, the Guarantee Trustee shall
immediately resign in the manner and with the effect set out in Section 4.02. If
the Guarantee Trustee has or shall acquire any "conflicting interest" within the
meaning of Section 310(b) of the Trust Indenture Act, the Guarantee Trustee and
the Guarantor shall in all respects comply with the provisions of Section
310(b) of the Trust Indenture Act.

         SECTION 4.02.  APPOINTMENT, REMOVAL AND RESIGNATION OF THE GUARANTEE
TRUSTEE. (a)  Subject to Section 4.02(b), the Guarantee Trustee may be appointed
or removed without cause at any time by the Guarantor.

         (b) The Guarantee Trustee shall not be removed in accordance with
Section 4.02(a) until a Successor Guarantee Trustee possessing the
qualifications to act as Guarantee Trustee under Section 4.01 has been appointed
and has accepted such appointment by written instrument executed by such
Successor Guarantee Trustee and delivered to the Guarantor and the Guarantee
Trustee being removed.

         (c) The Guarantee Trustee appointed to office shall hold office until
his successor shall have been appointed or until its removal or resignation.

         (d) The Guarantee Trustee may resign from office (without need for
prior or subsequent accounting) by an instrument (a "Resignation Request") in
writing signed by the Guarantee Trustee and delivered to the Guarantor, which
resignation shall take effect upon such delivery or upon such later date as is
specified therein; PROVIDED, HOWEVER, that no such resignation of the Guarantee
Trustee shall be effective until a Successor Guarantee Trustee possessing the
qualifications to act as Guarantee Trustee under Section 4.01 has been appointed
and has accepted such appointment by instrument executed by such Successor
Guarantee Trustee and delivered to the Guarantor and the resigning Guarantee
Trustee.

         (e) If no Successor Guarantee Trustee shall have been appointed and
accepted appointment as provided in this Section 4.02 within 60 days after
delivery to the Guarantor of a Resignation Request, the resigning Guarantee
Trustee may petition any court of competent jurisdiction for appointment of a
Successor Guarantee Trustee. Such court may thereupon after such notice, if any,
as it may deem proper and prescribe, appoint a Successor Guarantee Trustee.


                                    ARTICLE 5
                                    GUARANTEE

         SECTION 5.01. GUARANTEE. To the extent set forth herein, the Guarantor
irrevocably and unconditionally agrees to pay in full to the Holders the
Guarantee Payments (without duplication of amounts theretofore paid by the
Issuer), as and when due, regardless of any defense, right of set-off or
counterclaim which the Issuer may have or assert. The Guarantor's obligation to
make a Guarantee Payment may be satisfied by direct payment of the required
amounts by the Guarantor to the Holders or by causing the Issuer to pay such
amounts to the Holders.

                                      10


         SECTION 5.02. WAIVER OF NOTICE. The Guarantor hereby waives notice of
acceptance of this Guarantee Agreement and of any liability to which it applies
or may apply, presentment, demand for payment, any right to require a proceeding
first against the Issuer or any other Person before proceeding against the
Guarantor, protest, notice of nonpayment, notice of dishonor, notice of
redemption and all other notices and demands. Notwithstanding anything to the
contrary herein, the Guarantor retains all of its rights under the Indenture to
extend the interest payment period on the Debentures and the Guarantor shall not
be obligated hereunder to make any Guarantee Payment during any Extended
Interest Payment Period (as defined in the Supplemental Indenture) with respect
to the Distributions on the Preferred Securities.

         SECTION 5.03. OBLIGATIONS NOT AFFECTED. The obligations, covenants,
agreements and duties of the Guarantor under this Guarantee Agreement shall in
no way be affected or impaired by reason of the happening from time to time of
any of the following:

           (a) the release or waiver, by operation of law or otherwise, of the
         performance or observance by the Issuer of any express or implied
         agreement, covenant, term or condition relating to the Preferred
         Securities to be performed or observed by the Issuer;

           (b) the extension of time for the payment by the Issuer of all or any
         portion of the Distributions (other than an extension of time for
         payment of Distributions that result from any Extended Interest Payment
         Period), Redemption Price, Liquidation Distribution (as defined in the
         Declaration) or any other sums payable under the terms of the Preferred
         Securities or the extension of time for the performance of any other
         obligation under, arising out of, or in connection with, the Preferred
         Securities (other than an extension of time for payment of
         Distributions that result from any Extended Interest Payment Period);

           (c) any failure, omission, delay or lack of diligence on the part of
         the Holders to enforce, assert or exercise any right, privilege, power
         or remedy conferred on the Holders pursuant to the terms of the
         Preferred Securities, or any action on the part of the Issuer granting
         indulgence or extension of any kind;

           (d) the voluntary or involuntary liquidation, dissolution, sale of
         any collateral, receivership, insolvency, bankruptcy, assignment for
         the benefit of creditors, reorganization, arrangement, composition or
         readjustment of debt of, or other similar proceedings affecting, the
         Issuer or any of the assets of the Issuer;

           (e)  any invalidity of, or defect or deficiency in, the Preferred
         Securities;

           (f) the settlement or compromise of any obligation guaranteed hereby
         or hereby incurred; or

           (g) any other circumstance whatsoever that might otherwise constitute
         a legal or equitable discharge or defense of a guarantor, it being the
         intent of this Section 5.03 that the obligations of the Guarantor with
         respect to the Guarantee Payments shall be absolute and unconditional
         under any and all circumstances.

                                      11



         There shall be no obligation of the Holders to give notice to, or
obtain consent of, the Guarantor with respect to the happening of any of the
foregoing.

         SECTION 5.04. ENFORCEMENT OF GUARANTEE. The Guarantor and the Guarantee
Trustee expressly acknowledge that (i) this Guarantee Agreement will be
deposited with the Guarantee Trustee to be held for the benefit of the
Holders;(ii) the Guarantee Trustee has the right to enforce this Guarantee
Agreement on behalf of the Holders; (iii) Holders representing not less than a
Majority in liquidation amount of the Preferred Securities have the right to
direct the time, method and place of conducting any proceeding for any remedy
available to the Guarantee Trustee in respect of this Guarantee Agreement or
exercising any trust or other power conferred upon the Guarantee Trustee under
this Guarantee Agreement; and (iv) if the Guarantee Trustee fails to enforce
this Guarantee Agreement as provided in clauses (ii) and (iii) above, any Holder
may institute a legal proceeding directly against the Guarantor to enforce its
rights under this Guarantee Agreement, without first instituting a legal
proceeding against the Issuer, the Guarantee Trustee or any other Person.
Notwithstanding the foregoing, if the Guarantor has failed to make a Guarantee
Payment, a Holder may directly institute a proceeding against the Guarantor for
enforcement of this Guarantee Agreement for such payment without first
instituting a legal proceeding against the Issuer, the Guarantee Trustee or any
other Person.

         SECTION 5.05.  GUARANTEE OF PAYMENT.  This Guarantee Agreement
creates a guarantee of payment and not merely of collection.  This Guarantee
Agreement will not be discharged except by payment of the Guarantee Payments
in full (without duplication of amounts theretofore paid by the Issuer) or
upon the distribution of the Debentures to the Holders as provided in the
Declaration.

         SECTION 5.06. SUBROGATION. The Guarantor shall be subrogated to all (if
any) rights of the Holders against the Issuer in respect of any amounts paid to
the Holders by the Guarantor under this Guarantee Agreement; PROVIDED, HOWEVER,
that the Guarantor shall not (except to the extent required by mandatory
provisions of law) be entitled to enforce or exercise any rights which it may
acquire by way of subrogation or any indemnity, reimbursement or other
agreement, in all cases as a result of payment under this Guarantee Agreement,
if, at the time of any such payment, any amounts are due and unpaid under this
Guarantee Agreement. If any amount shall be paid to the Guarantor in violation
of the preceding sentence, the Guarantor agrees to hold such amount in trust for
the Holders and to pay over such amount to the Holders.

         SECTION 5.07. INDEPENDENT OBLIGATIONS. The Guarantor acknowledges that
its obligations hereunder are independent of the obligations of the Issuer with
respect to the Preferred Securities and that the Guarantor shall be liable as
principal and as debtor hereunder to make Guarantee Payments pursuant to the
terms of this Guarantee Agreement notwithstanding the occurrence of any event
referred to in subsections (a) through (g), inclusive, of Section 5.03 hereof.


                                      12



                                    ARTICLE 6
                    LIMITATION OF TRANSACTIONS; SUBORDINATION

         SECTION 6.01. LIMITATION OF TRANSACTIONS. So long as any Preferred
Securities remain outstanding, the Guarantor will not (x) declare or pay
dividends on, or redeem, purchase, acquire or make a distribution or liquidation
payment with respect to, any of its capital stock (other than (a) dividends or
distributions in shares of, or options, warrants, rights to subscribe for or
purchase shares of, common stock of the Guarantor,(b) any declaration of a
dividend in connection with the implementation of a stockholders' rights plan,
or the issuance of stock under any such plan in the future, or the redemption or
repurchase of any such rights pursuant thereto,(c) as a result of a
reclassification of the Guarantor's capital stock or the exchange or the
conversion of one class or series of the Guarantor's capital stock for another
class or series of the Guarantor's capital stock,(d) the payment of accrued
dividends and the purchase of fractional interests in shares of the Guarantor's
capital stock pursuant to the conversion or exchange provisions of such capital
stock or the security being converted or exchanged, or (e) purchases of the
Guarantor's common stock related to the issuance of the Guarantor's common stock
or rights under any of the Guarantor's benefit plans for its directors, officers
or employees, any of the Guarantor's dividend reinvestment plans or stock
purchase plans, or any of the benefit plans of any of the Guarantor's
Affiliates, for such Affiliate's directors, officers or employees), (y) make any
payment of principal or of interest or premium, if any, on or repay, repurchase
or redeem any debt security of the Company that ranks PARI PASSU with or junior
in interest to the Debentures or (z) make any guarantee payments with respect to
any guarantee by the Company of the debt securities of any Subsidiary of the
Company (other than pursuant to this Guarantee Agreement or a substantially
similar guarantee agreement relating to a series of trust preferred securities
substantially similar to the Preferred Securities) if such guarantee ranks PARI
PASSU with or junior in interest to the Debentures, if at such time (i)the
Guarantor shall be in default with respect to its Guarantee Payments or other
payment obligations hereunder,(ii) there shall have occurred any event of
default under the Declaration or (iii) the Guarantor shall have given notice of
its election of an Extended Interest Payment Period and such period, or any
extension thereof, is continuing. In addition, so long as any Preferred
Securities remain outstanding, the Guarantor (i) will remain the sole direct or
indirect owner of all of the outstanding Common Securities and shall not cause
or permit the Common Securities to be transferred except to the extent such
transfer is permitted under Section 9.01 of the Declaration; PROVIDED that any
permitted successor of the Guarantor under the Indenture may succeed to the
Guarantor's ownership of the Common Securities and (ii) will use reasonable
efforts to cause the Issuer to continue to be treated as a grantor trust for
United States federal income tax purposes except in connection with a
distribution of Debentures as provided in the Declaration.

         SECTION 6.02. SUBORDINATION. This Guarantee Agreement will
constitute an unsecured obligation of the Guarantor and will rank
(i) subordinate and junior in right of payment to all other liabilities of the
Guarantor, including the Debentures, except those made PARI PASSU or
subordinate by their terms, and (ii) senior to all capital stock (other than
the most senior preferred stock issued, from time to time, if any, by the
Guarantor, which preferred stock will rank PARI PASSU with this Guarantee
Agreement) now or hereafter issued by the Guarantor and to any guarantee now
or hereafter entered into by the Guarantor in respect of any of its capital
stock (other than the most senior preferred stock issued, from time to time,
if any, by the Guarantor). The Guarantor's obligations under this Guarantee
Agreement will rank PARI PASSU with respect to obligations under

                                      13


other guarantee agreements which it may enter into from time to time to the
extent that (i) such agreements shall be entered into in substantially the
form hereof and provide for comparable guarantees by the Guarantor of payment
on preferred securities issued by other trusts, partnerships or other
entities affiliated with the Guarantor that are financing vehicles of the
Guarantor and (ii) the debentures or other evidences of indebtedness of the
Guarantor relating to such preferred securities are junior subordinated,
unsecured indebtedness of the Guarantor.

                                    ARTICLE 7
                                   TERMINATION

         SECTION 7.01. TERMINATION. This Guarantee Agreement shall terminate and
be of no further force and effect (i) upon full payment of the Redemption Price
of all Preferred Securities, (ii) upon the distribution of Debentures to Holders
and holders of Common Securities in exchange for all of the Preferred Securities
and Common Securities, (iii) upon full payment of the amounts payable in
accordance with the Declaration upon liquidation of the Issuer or (iv) upon the
distribution, if any, of Common Stock to Holders in respect of the conversion of
all such Holders' Preferred Securities into Common Stock. Notwithstanding the
foregoing, this Guarantee Agreement will continue to be effective or will be
reinstated, as the case may be, if at any time any Holder must restore payment
of any sums paid with respect to the Preferred Securities or under this
Guarantee Agreement.


                                    ARTICLE 8
                    LIMITATION OF LIABILITY; INDEMNIFICATION

         SECTION 8.01. EXCULPATION. (a) No Indemnified Person shall be liable,
responsible or accountable in damages or otherwise to the Guarantor or any
Holder for any loss, damage or claim incurred by reason of any act or omission
performed or omitted by such Indemnified Person in good faith in accordance with
this Guarantee Agreement and in a manner such Indemnified Person reasonably
believed to be within the scope of the authority conferred on such Indemnified
Person by this Guarantee Agreement or by law, except that an Indemnified Person
shall be liable for any such loss, damage or claim incurred by reason of such
Indemnified Person's negligence or willful misconduct with respect to such acts
or omissions.

         (b) An Indemnified Person shall be fully protected in relying in good
faith upon the records of the Guarantor and upon such information, opinions,
reports or statements presented to the Guarantor by any Person as to matters the
Indemnified Person reasonably believes are within such other Person's
professional or expert competence and who has been selected with reasonable care
by or on behalf of the Guarantor, including information, opinions, reports or
statements as to the value and amount of the assets, liabilities, profits,
losses or any other facts pertinent to the existence and amount of assets from
which Distributions to Holders might properly be paid.

         SECTION 8.02. INDEMNIFICATION. To the fullest extent permitted by
applicable law, the Guarantor shall indemnify and hold harmless each Indemnified
Person from and against any loss, damage or claim incurred by such Indemnified
Person by reason of any act or omission performed or omitted by such Indemnified
Person in good faith in accordance with this Guarantee Agreement and in a manner
such Indemnified Person reasonably believed to be within the scope of authority
conferred on such Indemnified Person by this Guarantee Agreement, except that no
Indemnified

                                      14


Person shall be entitled to be indemnified in respect of any loss, damage or
claim incurred by such Indemnified Person by reason of negligence or willful
misconduct with respect to such acts or omissions.

         SECTION 8.03.  SURVIVE TERMINATION.  The provisions of Sections 8.01
and 8.02 shall survive the termination of this Guarantee Agreement or the
resignation or removal of the Guarantee Trustee.

                                    ARTICLE 9
                                  MISCELLANEOUS

         SECTION 9.01. SUCCESSORS AND ASSIGNS. All guarantees and agreements
contained in this Guarantee Agreement shall bind the successors, assignees,
receivers, trustees and representatives of the Guarantor and shall inure to the
benefit of the Holders then outstanding. Except in connection with a
consolidation, merger or sale involving the Guarantor that is permitted under
Article Ten of the Indenture, the Guarantor shall not assign its obligations
hereunder.

         SECTION 9.02. AMENDMENTS. Except with respect to any changes which do
not adversely affect the rights of Holders in any material respect (in which
case no consent of Holders will be required), this Guarantee Agreement may only
be amended with the prior approval of the Guarantor and the Holders of not less
than a Majority in liquidation amount of the Preferred Securities. The
provisions of Section 12.02 of the Declaration concerning meetings of Holders
shall apply to the giving of such approval.

         SECTION 9.03. NOTICES. Any notice, request or other communication
required or permitted to be given hereunder shall be in writing, duly signed by
the party giving such notice, and delivered, telecopied or mailed by first class
mail as follows:

           (a) if given to the Guarantor, to the address set forth below or such
         other address as the Guarantor may give notice of to the Holders:

                  Pogo Producing Company
                  5 Greenway Plaza
                  Suite 2700
                  Houston, Texas 77046
                  Facsimile No.:  (713) 297-5100
                  Attention:  Corporate Secretary

           (b) if given to the Guarantee Trustee, to the address set forth below
or such other address as the Guarantee Trustee may give notice of to the
Holders:

                  Wilmington Trust Company
                  1100 North Market Street
                  Wilmington, Delaware  19810
                  Attention:  Corporate Trust Administration
                  Telecopy:  (617) 664-5739


                                      15



           (c) if given to any Holder, at the address set forth on the books and
records of the Issuer.

         All notices hereunder shall be deemed to have been given when received
in person, telecopied with receipt confirmed, or mailed by first class mail,
postage prepaid, except that if a notice or other document is refused delivery
or cannot be delivered because of a changed address of which no notice was
given, such notice or other document shall be deemed to have been delivered on
the date of such refusal or inability to deliver.

         SECTION 9.04.  GENDERS.  The masculine, feminine and neuter genders
used herein shall include the masculine, feminine and neuter genders.

         SECTION 9.05.  BENEFIT.  This Guarantee Agreement is solely for the
benefit of the Holders and subject to Section 3.01(a) is not separately
transferable from the Preferred Securities.

         SECTION 9.06. GOVERNING LAW. THIS GUARANTEE AGREEMENT SHALL BE GOVERNED
BY AND CONSTRUED AND INTERPRETED IN ACCORDANCE WITH THE LAWS OF THE STATE OF NEW
YORK (WITHOUT REGARD TO PRINCIPLES OF CONFLICTS OF LAWS). THE GUARANTOR
IRREVOCABLY SUBMITS TO THE NON-EXCLUSIVE JURISDICTION OF ANY UNITED STATES
FEDERAL OR NEW YORK STATE COURT SITTING IN THE BOROUGH OF MANHATTAN, THE CITY OF
NEW YORK IN ANY ACTION OR PROCEEDING ARISING OUT OF OR RELATING TO THIS
GUARANTEE, AND THE GUARANTOR IRREVOCABLY AGREES THAT ALL CLAIMS IN RESPECT OF
SUCH ACTION OR PROCEEDING MAY BE HEARD AND DETERMINED BY ANY SUCH COURT.

         SECTION 9.07.  COUNTERPARTS.  This Guarantee Agreement may be
executed in counterparts, each of which shall be an original; but such
counterparts shall together constitute one and the same instrument.

         SECTION 9.08. LIMITED LIABILITY. The Holders, in their capacities as
such, shall not be personally liable for any liabilities or obligations of the
Guarantor arising out of this Guarantee Agreement, and the parties hereby agree
that the Holders, in their capacities as such, shall be entitled to the same
limitation of personal liability extended to the stockholders of private
corporations for profit organized under the General Corporation Law of the State
of Delaware.

                                     16



         THIS GUARANTEE AGREEMENT is executed as of the day and year first
above written.





                                               POGO PRODUCING COMPANY







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





                                               WILMINGTON TRUST COMPANY,
                                               not in its individual capacity,
                                               but solely as Guarantee Trustee





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




                                       17