UNION PACIFIC RESOURCES GROUP INC
8-K, 1998-05-26
CRUDE PETROLEUM & NATURAL GAS
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<PAGE>
 
                      SECURITIES AND EXCHANGE COMMISSION


                             WASHINGTON D.C. 20549


                                   FORM 8-K


                                CURRENT REPORT


                    Pursuant to Section 13 or 15(d) of the
                        Securities Exchange Act of 1934



         Date of Report (Date of earliest event reported) May 13, 1998



                      UNION PACIFIC RESOURCES GROUP INC.
                      ----------------------------------
              (Exact name of registrant as specified in charter)

 
     Utah                          1-13916                        13-2647483
- --------------------------------------------------------------------------------
(State or other                  (Commission                    (IRS Employer
jurisdiction of                  File Number)                Identification No.)
incorporation)



801 Cherry Street, Fort Worth, Texas                                76102
- --------------------------------------------------------------------------------
(Address of principal executive offices)                          (Zip Code)



Registrant's telephone number including area code                   817-877-6000
                                                                    ------------


(Former name or former address, if changed since last report)

Not applicable

                                       1
<PAGE>
 
Item 5.   Other Events.

     On May 13, 1998, Union Pacific Resources Group Inc. (the "Company") entered
into an Underwriting Agreement with Salomon Brothers Inc, Credit Suisse First
Boston Corporation, Chase Securities Inc., Goldman, Sachs & Co., ABN AMRO
Incorporated, BancAmerica Robertson Stephens, NationsBanc Montgomery Securities
LLC, RBC Dominion Securities Inc., Howard, Weil, Labouisse, Friedrichs
Incorporated, and Petrie Parkman & Co., Inc. in connection with the issuance of
the following debt securities: $200,000,000 6.50% Notes due May 15, 2005;
$200,000,000 6.75% Notes due May 15, 2008; $200,000,000 7.05% Debentures due May
15, 2018 and $425,000,000 7.15% Debentures due May 15, 2028.  A copy of the
Underwriting Agreement is attached as Exhibit 1.1 and the terms agreements
defining the rights of the debt security holders are attached as Exhibits 4.1 -
4.4 to this Current Report on Form 8-K, which is incorporated herein by
reference.

                                       2
<PAGE>
 
ITEM 7.   FINANCIAL STATEMENTS, PRO FORMA FINANCIAL INFORMATION AND EXHIBITS.

     (c)     Exhibits

1.1  Underwriting Agreement dated May 13, 1998.

4.1  Terms Agreement for $200,000,000 6.50% Notes due May 15, 2005.

4.2  Terms Agreement for $200,000,000 6.75% Notes due May 15, 2008.

4.3  Terms Agreement for $200,000,000 7.05% Debentures due May 15, 2018.

4.4  Terms Agreement for $425,000,000 7.15% Debentures due May 15, 2028.

4.5  Form of 6.50% Note due May 15, 2005.

4.6  Form of 6.75% Note due May 15, 2008.

4.7  Form of 7.05% Debenture due May 15 2018.

4.8  Form of 7.15% Debenture due May 15, 2028.

4.9  Indenture, dated as of March 27, 1996, between Union Pacific Resources 
Group Inc. and Texas Committee Bank National Association as trustee
(incorporated herein by reference to Exhibit 4.1 to the Company's Registration
Statement on Form 5-3, Registration No. 333-2984, dated May 23, 1996)
<PAGE>
 
                                  SIGNATURES

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



                                UNION PACIFIC RESOURCES GROUP INC.



                                /s/ Joseph A. LaSala, Jr.
                                ------------------------------------------------
                                By:  Joseph A. LaSala, Jr.
                                     Vice President, General Counsel and
                                     Secretary

DATED:     May 20, 1998

                                       4
<PAGE>
 
                                 EXHIBIT INDEX

Exhibit                             Description
- -------                             -----------

1.1                 Underwriting Agreement dated May 13, 1998.

4.1                 Terms Agreement for $200,000,000 6.50% Notes due May 15,
                    2005.

4.2                 Terms Agreement for $200,000,000 6.75% Notes due May 15,
                    2008.

4.3                 Terms Agreement for $200,000,000 7.05% Notes due May 15,
                    2018.

4.4                 Terms Agreement for $425,000,000 7.15% Notes due May 15,
                    2028.

4.5                 Form of 6.50% Note due May 15, 2005.

4.6                 Form of 6.75% Note due May 15, 2008.

4.7                 Form of 7.05% Debenture due May 15 2018.

4.8                 Form of 7.15% Debenture due May 15, 2028.

4.9                 Indenture, dated as of March 27, 1996, between Union Pacific
                    Resources Group Inc. and Texas Committee Bank National
                    Association as trustee (incorporated herein by reference to
                    Exhibit 4.1 to the Company's Registration Statement on Form
                    5-3, Registration No. 333-2984, dated May 23, 1996)

                                       5

<PAGE>
 
                                                                     Exhibit 1.1

                      UNION PACIFIC RESOURCES GROUP INC.
                                DEBT SECURITIES


                            UNDERWRITING AGREEMENT


          1.  Introduction.  Union Pacific Resources Group Inc., a Utah
corporation (the "Company"), proposes to issue and sell from time to time
certain of its debt securities registered under the registration statement
referred to in Section 2(a) ("Registered Securities").  The Registered
Securities will be issued under an indenture (the "Indenture"), dated as of
March 27, 1996, between the Company and Chase Bank of Texas, National
Association, (as successor to Texas Commerce Bank, National Association) as
Trustee, in one or more series, which series may vary as to interest rates,
maturities, redemption provisions, selling prices and other terms, with all such
terms for any particular series of the Registered Securities being determined at
the time of sale.  Particular series of the Registered Securities will be sold
pursuant to a Terms Agreement referred to in Section 3, for resale in accordance
with the terms of offering determined at the time of sale.

          The Registered Securities involved in any such offering are
hereinafter referred to as the "Securities".  The firm or firms which agree to
purchase the Securities are hereinafter referred to as the "Underwriters" of
such Securities, and the representative or representatives of the Underwriters,
if any, specified in a Terms Agreement referred to in Section 3 are hereinafter
referred to as the "Representatives"; provided, however, that if the Terms
Agreement does not specify any representative of the Underwriters, the term
"Representatives", as used in this Agreement (other than in Sections 2(a), 5(b)
and 6 and the second sentence of Section 3), shall mean the Underwriters.

          2.  Representations and Warranties of the Company. The Company
represents and warrants to, and agrees with, each Underwriter that:

          (a)  Registration Statement.  (i) The Company meets the requirements
     for use of Form S-3 under the Securities Act of 1933, as amended (the "1933
     Act") and has prepared and filed with the Securities and Exchange
     Commission (the "Commission") a registration statement (file number 333-
     2984) on Form S-3 for the registration 
<PAGE>
 
                                                                               2



     under the 1933 Act of the offering and sale of the Registered Securities
     and a registration statement (file number 333-22655) on Form S-3 which
     amends the previous registration statement and registers the offering and
     sale of additional Registered Securities under the 1933 Act. Such
     registration statements have become effective. The Company may have filed
     one or more amendments thereto, including a related preliminary prospectus,
     each of which has previously been furnished to you. The Company will next
     file with the Commission one of the following: (1) prior to the Effective
     Date of such registration statement, a further amendment to such
     registration statement, including the form of final prospectus, (2) after
     the Effective Date of such registration statement, a final prospectus in
     accordance with Rules 430A and 424(b), or (3) a final prospectus in
     accordance with Rules 415 and 424(b). In the case of clause (2), the
     Company has included in such registration statement, as amended at the
     Effective Date, all information (other than Rule 430A Information) required
     by the 1933 Act and the rules thereunder to be included in such
     registration statement and the Prospectus. As filed, such amendment and
     form of final prospectus, or such final prospectus, shall contain all Rule
     430A Information, together with all other such required information, and,
     except to the extent the Representatives shall agree in writing to a
     modification, shall be in all substantive respects in the form furnished to
     you prior to the Execution Time or, to the extent not completed at the
     Execution Time, shall contain only such specific additional information and
     other changes (beyond that contained in the latest Preliminary Prospectus)
     as the Company has advised you, prior to the Execution Time, will be
     included or made therein. If the Registration Statement contains the
     undertaking specified by Regulation S-K Item 512(a), the Registration
     Statement, at the Execution Time, meets the requirements set forth in Rule
     415(a)(1)(x). Upon the request of the Representatives, but not without the
     agreement of the Representatives, the Company will also file a Rule 462(b)
     registration statement in accordance with Rule 462(b) ("Rule 462(b)") under
     the 1933 Act.
<PAGE>
 
                                                                               3

          (ii)  On the Effective Date, the Registration Statement did or will,
     and when the Prospectus is first filed (if required) in accordance with
     Rule 424(b) and on the Closing Date, the Prospectus (and any supplements
     thereto) will, comply in all material respects with the applicable
     requirements of the 1933 Act and the Trust Indenture Act and the respective
     rules thereunder; on the Effective Date and at the Execution Time, the
     Registration Statement did not or will not contain any untrue statement
     of a material fact or omit to state any material fact required to be stated
     therein or necessary in order to make the statements therein not
     misleading; on the Effective Date and on the Closing Date the Indenture
     did or will comply in all material respects with the requirements of the
     Trust Indenture Act and the rules thereunder; and, on the Effective Date,
     the Prospectus, if not filed pursuant to Rule 424(b), will not, and on the
     date of any filing pursuant to Rule 424(b) and on the Closing Date, the
     Prospectus (together with any supplement thereto) will not, include any
     untrue statement of a material fact or omit to state a material fact
     necessary in order to make the statements therein, in the light of the
     circumstances under which they were made, not misleading; provided,
     however, that the Company makes no representations or warranties as to (i)
     that part of the Registration Statement which shall constitute the
     Statement of Eligibility and Qualification (Form T-1) under the Trust
     Indenture Act of the Trustee or (ii) the information contained in or
     omitted from the Registration Statement, or the Prospectus (or any
     supplement thereto) in reliance upon and in conformity with information
     furnished herein or in writing to the Company by or on behalf of any
     Underwriter through the Representatives specifically for inclusion in the
     Registration Statement or the Prospectus (or any supplement thereto).

          (b)  Due Incorporation and Qualification.  The Company has been duly
     incorporated and is validly existing as a corporation in good standing
     under the laws of the State of Utah with full corporate power and authority
     to own, lease and operate its properties and to conduct its business as
     described in the 
<PAGE>
 
                                                                               4

     Registration Statement and the Prospectus; and the Company is duly
     qualified as a foreign corporation to transact business and is in good
     standing in each jurisdiction in which such qualification is required,
     whether by reason of the ownership or leasing of property or the conduct of
     business, except where the failure to so qualify and be in good standing
     would not have a material adverse effect on the condition, financial or
     otherwise, or the business affairs of the Company and its subsidiaries
     considered as one enterprise.

          (c)  Incorporated Documents.  The documents incorporated by reference
     in the Registration Statement and the Prospectus, at the time they were
     filed with the Commission, complied in all material respects with the
     requirements of the Securities Exchange Act of 1934 (the "1934 Act") and
     the applicable Rules and Regulations, and, when read together and with the
     other information in the Registration Statement and the Prospectus, do not
     contain an untrue statement of a material fact or omit to state a material
     fact required to be stated therein or necessary in order to make the
     statements therein, in the light of the circumstances under which they were
     made, not misleading.

          (d)  Financial Statements.  The financial statements and any related
     notes of the Company and its consolidated subsidiaries included or
     incorporated by reference in the Registration Statement and the Prospectus
     present fairly in all material respects the consolidated financial position
     of the Company and its consolidated subsidiaries as of the dates indicated
     and the consolidated results of their operations for the periods specified;
     and, except as stated therein, said financial statements and related notes
     have been prepared in conformity with generally accepted accounting
     principles in the United States applied on a consistent basis; and said
     notes included in the Registration Statement and the Prospectus present
     fairly the information required to be stated therein.

          (e)  Authorization and Validity of this Agreement, the Indenture and
     the Notes.  This Agreement has been
<PAGE>
 
                                                                               5

     duly authorized, executed and delivered by the Company and, upon execution
     and delivery by the Underwriters, will be a valid and binding agreement of
     the Company; the Indenture has been duly authorized, executed and delivered
     by the Company and constitutes a valid and binding obligation of the
     Company enforceable in accordance with its terms; the Securities have been
     duly and validly authorized for issuance, offer and sale pursuant to this
     Agreement and, when issued, authenticated and delivered pursuant to the
     provisions of this Agreement and the Indenture, the Securities will
     constitute valid and legally binding obligations of the Company enforceable
     in accordance with their terms, except as enforcement of the Indenture or
     the Securities may be limited by bankruptcy, insolvency, reorganization,
     moratorium or other laws relating to or affecting enforcement of creditors'
     rights generally or by general equity principles; the Securities and the
     Indenture will be substantially in the form heretofore delivered to the
     Underwriters and conform in all material respects to all statements
     relating thereto contained in the Registration Statement and the
     Prospectus; and the Securities will be entitled to the benefits provided by
     the Indenture.

          (f)  No Defaults.  The Company is not in violation of its certificate
     of incorporation or by-laws, or other organizational documents, or in
     default in the performance or observance of any material obligation,
     agreement, covenant or condition contained in any material contract,
     indenture, mortgage, loan agreement, note, lease or other instrument to
     which it is a party or by which it or its properties is bound; the
     execution and delivery of this Agreement and the Indenture and the
     consummation of the transactions contemplated herein, therein and pursuant
     to any Terms Agreement referred to in Section 3 have been duly authorized
     by all necessary corporate action and will not conflict with or constitute
     a breach of, or default under, or result in the creation or imposition of
     any lien, charge or encumbrance upon any property or assets of the Company
     pursuant to, any material contract, indenture, mortgage, loan agreement,
     note, lease or other instrument to which the Company is a party or by 
<PAGE>
 
                                                                               6

     which it may be bound or to which any of the property or assets of the
     Company is subject, nor will such action result in any violation of the
     provisions of the certificate of incorporation or by-laws, or other
     organizational documents, of the Company or any law, administrative
     regulation or administrative or court order or decree applicable to the
     Company.

          (g)  Legal Proceedings; Contracts.  Except as may be set forth or
     incorporated by reference in the Registration Statement, there is no
     action, suit or proceeding before or by any court or governmental agency or
     body, domestic or foreign, now pending, or, to the knowledge of the
     Company, threatened against or affecting, the Company or any of its
     subsidiaries, which might, in the opinion of the Company, result in a
     material adverse effect on the condition, financial or otherwise, or on the
     business affairs of the Company and its subsidiaries considered as one
     enterprise, or might materially and adversely affect the properties or
     assets thereof or might materially and adversely affect the consummation of
     this Agreement or any Terms Agreement referred to in Section 3; and there
     are no contracts or documents of the Company or any of its subsidiaries
     which are required to be filed as exhibits to the Registration Statement by
     the 1933 Act or by the applicable Rules and Regulations which have not been
     so filed.

          (h)  Relations with Cuba.  The Company is in compliance with all
     provisions of Section 1 of Laws of Florida, Chapter 92-198, An Act Relating
     to Disclosure of Doing Business with Cuba, and if the Company or any of its
     subsidiaries commences engaging in business with the government of Cuba or
     with any person or affiliate located in Cuba, or if the information
     reported in the Prospectus, if any, concerning the business of the Company
     or any of its subsidiaries with Cuba or with any person or affiliate
     located in Cuba changes in any material way, the Company will provide the
     Florida Department of Banking and Finance (the "Department") notice of such
     business or change, as appropriate, in a form acceptable to the Department.
<PAGE>
 
                                                                               7

          (i)  Investment Company Act.  The Company is not and, after giving
     effect to the offering and sale of the Securities and the application of
     the net proceeds thereof as described in the Prospectus, will not be an
     "investment company" or a person directly or indirectly controlled by an
     "investment company", as defined in the Investment Company Act of 1940, as
     amended.

          (j)  Registration Rights.  No holders of securities of the Company not
     currently registered under the 1933 Act have rights to the registration of
     such securities under the Registration Statement.

          3.  Purchase and Offering of Securities.  The obligation of the
Underwriters to purchase the Registered Securities will be evidenced by an
exchange of telegraphic or other written communications ("Terms Agreement") at
the time the Company determines to sell the Registered Securities.  The Terms
Agreement will generally be in the form attached hereto as Annex I and will
incorporate by reference the provisions of this Agreement, except as otherwise
provided therein, and will specify the firm or firms which will be Underwriters,
the names of any Representatives, the principal amount to be purchased by each
Underwriter, the purchase price to be paid by the Underwriters and the terms of
the Registered Securities not already specified in the Indenture, including, but
not limited to, interest rate, maturity, any redemption provisions and any
sinking fund requirements and whether any of the Securities may be sold to
institutional investors pursuant to Delayed Delivery Contracts (as defined
below). The Terms Agreement will also specify the time and date of delivery and
payment (such time and date, or such other time not later than seven full
business days thereafter as the Representatives and the Company agree as the
time for payment and delivery, being herein and in the Terms Agreement
referred to as the "Closing Date"), the place of delivery and payment and any
details of the terms of offering that should be reflected in the prospectus
supplement relating to the offering of the Registered Securities.  The
obligations of the Underwriters to purchase the Registered Securities will be
several and not joint.  It is understood that the Underwriters propose to offer
the Registered Securities for sale as set forth in the Prospectus.  The
<PAGE>
 
                                                                               8

Registered Securities delivered to the Underwriters on the Closing Date will be
in definitive fully registered form, in such denominations and registered in
such names as the Underwriters may request.  Delivery of Registered Securities
shall be made to the Representatives for the respective accounts of the several
Underwriters against payment by the several Underwriters through the
Representatives of the purchase price thereof to or upon the order of the
Company by wire transfer payable in same-day funds to an account specified by
the Company.  Delivery of Registered Securities shall be made through the
facilities of The Depository Trust Company unless the Representatives shall
otherwise instruct.

          If the Terms Agreement provides for sales of Securities pursuant to
delayed delivery contracts, the Company authorizes the Underwriters to solicit
offers to purchase Securities pursuant to delayed delivery contracts
substantially in the form of Annex II attached hereto ("Delayed Delivery
Contracts") with such changes therein as the Company may authorize or approve.
Delayed Delivery Contracts are to be with institutional investors, including
commercial and savings banks, insurance companies, pension funds, investment
companies and educational and charitable institutions.  On the Closing Date the
Company will pay, as compensation, to the Representatives for the accounts of
the Underwriters, the fee set forth in such Terms Agreement in respect of the
principal amount of Registered Securities to be sold pursuant to Delayed
Delivery Contracts ("Contract Securities").  The Underwriters will not have any
responsibility in respect of the validity or the performance of Delayed Delivery
Contracts.  If the Company executes and delivers Delayed Delivery Contracts, the
Contract Securities will be deducted from the Securities to be purchased by the
several Underwriters and the aggregate principal amount of Securities to be
purchased by each Underwriter will be reduced pro rata in proportion to the
principal amount of Registered Securities set forth opposite each Underwriter's
name in such Terms Agreement, except to the extent that the Representatives
determine that such reduction shall be otherwise than pro rata and so advise the
Company.  The Company will advise the Representatives not later than the
business day prior to the Closing Date of the principal amount of Contract
Securities.
<PAGE>
 
                                                                               9

          4.  Certain Agreements of the Company.  The Company agrees with the
several Underwriters that it will furnish to Cravath, Swaine & Moore, special
counsel for the Underwriters (or any other counsel named as counsel for the
Underwriters in any Terms Agreement), one signed copy of the Registration
Statement relating to the Registered Securities, including all exhibits, in
the form it became effective and of all amendments thereto and that, in
connection with each offering of Securities:

          (a)  The Company will advise the Representatives promptly of any
     proposal to amend or supplement the Registration Statement or the
     Prospectus and will afford the Representatives a reasonable opportunity to
     comment on any such proposed amendment or supplement; and the Company will
     also advise the Representatives promptly of the filing of any such
     amendment or supplement and of the institution by the Commission of any
     stop order proceedings in respect of the Registration Statement or of any
     part thereof and will use its best efforts to prevent the issuance of any
     such stop order and to obtain as soon as possible its lifting, if issued.

          (b)  If, at any time when a prospectus relating to the Securities is
     required to be delivered under the 1933 Act, any event occurs as a result
     of which the Prospectus as then amended or supplemented would include an
     untrue statement of a material fact or omit to state any material fact
     necessary to make the statements therein, in the light of the circumstances
     under which they were made, not misleading, or if it is necessary at any
     time to amend the Prospectus to comply with the 1933 Act, the Company
     promptly will prepare and file with the Commission an amendment or
     supplement which will correct such statement or omission or an amendment
     which will effect such compliance.

          (c)  As soon as practicable, the Company will make generally available
     to its security holders and to the Representatives an earnings statement or
     statements of the Company and its subsidiaries which will satisfy the
     provisions of Section 11(a) of the 1933 Act and Rule 158 under the 1933
     Act.
<PAGE>
 
                                                                              10

          (d)  The Company will furnish to the Representatives copies of the
     Registration Statement, including all exhibits, any related preliminary
     prospectus, any related preliminary prospectus supplement, the Prospectus
     and all amendments and supplements to such documents, in each case as
     soon as available and in such quantities as are reasonably requested.

          (e)  The Company will arrange for the qualification of the
     Registered Securities for sale and the determination of their eligibility
     for investment under the laws of such jurisdictions as the Representatives
     designate and will continue such qualifications in effect so long as
     required for the distribution.

          (f)  During the period of 5 years after the date of any Terms
     Agreement, the Company will furnish to the Representatives and, upon
     request, to each of the other Underwriters, if any, as soon as practicable
     after the end of each fiscal year, a copy of its annual report to
     stockholders for such year; and the Company will furnish to the
     Representatives (i) as soon as available, a copy of each report or
     definitive proxy statement of the Company filed with the Commission under
     the 1934 Act or mailed to stockholders and (ii) from time to time, such
     other information concerning the Company as the Representatives may
     reasonably request.

          (g)  The Company will pay all reasonable expenses incident to the
     performance of its obligations under this Agreement and will reimburse the
     Underwriters for any expenses (including reasonable fees and disbursements
     of counsel) incurred by them in connection with qualification of the
     Registered Securities for sale and determination of their eligibility for
     investment under the laws of such jurisdictions as the Representatives may
     designate and the printing of memoranda relating thereto, for any fees
     charged by investment rating agencies for the rating of the Securities and
     for expenses incurred in distributing the Prospectus, any preliminary
     prospectuses and any preliminary prospectus supplements to Underwriters.
<PAGE>
 
                                                                              11

          (h)  For a period beginning at the time of execution of the Terms
     Agreement and ending 10 days after the Closing Date, without the prior
     consent of the Representatives, the Company will not offer, sell, contract
     to sell or otherwise dispose of any United States dollar-denominated debt
     securities issued or guaranteed by the Company and having a maturity of
     more than one year from the date of issue.

          5.  Conditions of the Obligations of the Under writers.  The
obligations of the several Underwriters to purchase and pay for the Securities
will be subject to the accuracy of the representations and warranties on the
part of the Company herein, to the accuracy of the statements of Company
officers made pursuant to the provisions hereof, to the performance by the
Company of its obligations hereunder and to the following additional conditions
precedent:

          (a)  No stop order suspending the effectiveness of the Registration
     Statement or of any part thereof shall have been issued and no proceedings
     for that purpose shall have been instituted or, to the knowledge of the
     Company or any Underwriter, shall be contemplated by the Commission.

          (b)  Subsequent to the execution of the Terms Agreement, there shall
     not have occurred (i) any change, or any development involving a
     prospective change, in or affecting particularly the business or properties
     of the Company or its subsidiaries which, in the judgment of a majority in
     interest of the Under  writers, including any Representatives, materially
     impairs the investment quality of the Securities; (ii) any downgrading in
     the rating of the Company's debt securities by Moody's Investors Service,
     Inc., or Standard & Poor's Corporation; (iii) any suspension or limitation
     of trading in securities generally on the New York Stock Exchange, or any
     setting of minimum prices for trading on such exchange, or any suspension
     of trading of any securities of the Company on any exchange or in the over-
     the-counter market; (iv) any banking moratorium declared by Federal or New
     York authorities; or (v) any outbreak or escalation of major hostilities in
     which the United States is involved, any 
<PAGE>
 
                                                                              12

     declaration of war by Congress or any other substantial national or
     international calamity or emergency if, in the judgment of a majority in
     interest of the Underwriters, including any Representatives, the effect of
     any such outbreak, escalation, declaration, calamity or emergency makes it
     impractical or inadvisable to proceed with completion of the sale of and
     payment for the Securities.

          (c)  The Representatives shall have received an opinion, dated the
     Closing Date, of the Vice President and General Counsel of the Company or
     other counsel satisfactory to the Representatives, to the effect that:

               (i)  the Company has been duly incorporated and is an existing
          corporation in good standing under the laws of the State of Utah, with
          corporate power and authority to own, lease and operate its
          properties and conduct its business as described in the Prospectus;
          and the Company is duly qualified to do business as a foreign
          corporation in good standing in all other jurisdictions in which it
          owns or leases substantial properties, except where the failure to so
          qualify and be in good standing would not have a material adverse
          effect on the condition, financial or otherwise, or on the business
          affairs of the Company and its subsidiaries considered as one
          enterprise;

               (ii) the Indenture has been duly authorized, executed and
          delivered by the Company and has been duly qualified under the Trust
          Indenture Act; the Securities have been duly authorized; the
          Securities other than any Contract Securities have been duly executed,
          authenticated, issued and delivered; the Indenture and the Securities
          other than any Contract Securities constitute, and any Contract
          Securities, when executed, authenticated, issued and delivered in the
          manner provided in the Indenture and sold pursuant to Delayed Delivery
          Contracts, will constitute, valid and legally binding obligations of
          the Company, enforceable in
<PAGE>
 
                                                                              13

          accordance with their terms, subject, as to enforcement, to
          bankruptcy, insolvency, reorganization and other laws of general
          applicability relating to or affecting creditors' rights and to
          general equitable principles; and the Securities other than any
          Contract Securities conform, and any Contract Securities, when so
          issued and delivered and sold, will conform, to the description
          thereof contained in the Prospectus;

               (iii) no consent, approval, authorization or order of, or filing
          with, any governmental agency or body or any court is required for the
          consummation of the transactions contemplated by the Terms Agreement
          (including the provisions of this Agreement), except such as have been
          obtained and made under the 1933 Act and the Trust Indenture Act and
          such as may be required under state securities laws in connection with
          the issuance or sale of the Securities by the Company;

               (iv)  the execution, delivery and performance of the Indenture,
          the Terms Agreement (including the provisions of this Agreement) and
          any Delayed Delivery Contracts and the issuance and sale of the
          Securities and compliance with the terms and provisions thereof will
          not result in a breach or violation of any of the terms and provisions
          of, or constitute a default under, any statute, any rule, regulation
          or order of any governmental agency or body or any court having
          jurisdiction over the Company or any of its properties known to such
          counsel after reasonable inquiry or any material agreement or
          instrument to which the Company is a party or by which the Company is
          bound or to which any of the properties of the Company is subject, or
          the charter or by-laws of the Company, and the Company has full power
          and authority to authorize, issue and sell the Securities as
          contemplated by the Terms Agreement (including the provisions of this
          Agreement);

               (v)   the Registration Statement has become effective under the
          1933 Act, and, to the best of 
<PAGE>
 
                                                                              14

          the knowledge of such counsel, no stop order suspending the
          effectiveness of the Registration Statement or of any part thereof has
          been issued and no proceedings for that purpose have been instituted
          or are pending or contemplated under the 1933 Act;

               (vi)  the Terms Agreement (including the provisions of this
          Agreement) and any Delayed Delivery Contracts have been duly
          authorized, executed and delivered by the Company; and

               (vii) the Company is not and, after giving effect to the offering
          and sale of the Securities and the application of the net proceeds
          thereof as described in the Prospectus, will not be an "investment
          company" or a person directly or indirectly controlled by an
          "investment company", as defined in the Investment Company Act of
          1940, as amended.

          In giving his opinion as aforesaid, counsel shall additionally state
     that based on the information gained in the course, in such counsel's role
     as General Counsel, of such counsel's participation in certain meetings and
     making of certain inquiries and investigations in connection with the
     preparation of the Registration Statement and Prospectus, the Registration
     Statement relating to the Registered Securities and each post-effective
     amendment thereto, as of their respective effective dates, the Registration
     Statement and the Prospectus, as of the date the Prospectus was filed with
     the Commission and as of the Closing Date, and any amendment or supplement
     thereto, as of its date, appeared on their face to be appropriately
     responsive in all material respects to the requirements of the 1933 Act,
     the Trust Indenture Act and the Rules and Regulations; nothing has come to
     such counsel's attention in the course of performing such activities that
     caused such counsel to believe that the Registration Statement, as of its
     effective date, the Registration Statement or the Prospectus, as of the
     date the Prospectus was filed with the Commission and as of the Closing
     Date, or any such 
<PAGE>
 
                                                                              15

     amendment or supplement, as of its date, contain or contained any untrue
     statement of a material fact or omitted to state any material fact required
     to be stated therein or necessary to make the statements therein not
     misleading, provided, however, that such counsel may state that in
     rendering the opinions set forth in this paragraph, such counsel does not
     assume responsibility for the accuracy or completeness of statements made
     in the Registration Statement and Prospectus; it being understood that such
     counsel need express no opinion as to the financial statements or other
     financial data contained in the Registration Statement or the Prospectus.

          In rendering such opinion, such Vice President and General Counsel or
     other counsel may rely as to the incorporation of the Company, the
     authorization, execution and delivery of the Terms Agreement and all other
     matters governed by Utah law upon the opinion of Parsons Behle & Latimer,
     special Utah Counsel to the Company, or other Utah counsel satisfactory to
     the Representatives, a copy of which shall be delivered concurrently with
     the opinion of such Vice President and General Counsel or other counsel.

          (d)  The Representatives shall have received an opinion, dated the
     Closing Date, of Parsons Behle & Latimer, special Utah counsel for the
     Company, or such other counsel as shall be acceptable to the Underwriters,
     to the effect that:

               (i)  the Company has been duly incorporated and is an existing
          corporation in good standing under the laws of the State of Utah, with
          corporate power and authority to own, lease and operate its
          properties and conduct its business as described in the Prospectus;

               (ii) the Terms Agreement (including the provisions of this
          Agreement) and any Delayed Delivery Contract and the Indenture have
          been duly authorized, executed and delivered by the Company; the
          Securities have been duly authorized;
<PAGE>
 
                                                                              16

               (iii) no consent, approval, authorization or order of, or filing
          with, any governmental agency or body or any court of the State of
          Utah is required for the consummation of the transactions contemplated
          by the Terms Agreement (including the provisions of this Agreement),
          except such as may be required under the blue sky laws of the State of
          Utah in connection with the issuance or sale of the Securities by the
          Company; and

               (iv)  the execution, delivery and performance of the Indenture,
          the Terms Agreement (including the provisions of this Agreement) and
          any Delayed Delivery Contract and the issuance and sale of the
          Securities and compliance with the terms and provisions thereof will
          not result in a breach or violation of any of the terms and provisions
          of, or constitute a default under, any statute, any rule, regulation
          or order of any governmental agency or body of the State of Utah or
          any court of the State of Utah having jurisdiction over the Company or
          any of its properties or the charter or by-laws of the Company, and
          the Company has full power and authority to authorize, issue and sell
          the Securities as contemplated by the Terms Agreement (including the
          provisions of this Agreement).

          (e)  The Representatives shall have received from Cravath, Swaine &
     Moore, special counsel for the Underwriters (or any other counsel named as
     counsel for the Underwriters in any Terms Agreement), such opinion or
     opinions, dated the Closing Date, with respect to the validity of the
     Securities, the Registration Statement, the Prospectus and other related
     matters as the Representatives may require, and the Company shall have
     furnished to such counsel such documents as they request for the purpose of
     enabling them to pass upon such matters.  In rendering such opinion,
     Cravath, Swaine & Moore (or such other counsel for the Underwriters named
     in any Terms Agreement) may rely as to the incorporation of the Company,
     the authorization, execution and delivery of the Terms Agreement and all
<PAGE>
 
                                                                              17

     other matters governed by Utah law upon the opinion of Parsons Behle &
     Latimer or such other counsel as referred to above.

          (f)  The Representatives shall have received a certificate, dated the
     Closing Date, of the Chairman, the President, Chief Executive Officer,
     Chief Financial Officer, any Executive or Senior Vice President, the
     Treasurer or any Vice-President and a principal financial or accounting
     officer of the Company in which such officers, to the best of their
     knowledge after reasonable investigation, state that the representations
     and warranties of the Company in this Agreement are true and correct, that
     the Company has complied with all agreements and satisfied all conditions
     on its part to be performed or satisfied hereunder at or prior to the
     Closing Date, that no stop order suspending the effectiveness of the
     Registration Statement or of any part thereof has been issued and no
     proceedings for that purpose have been instituted or are contemplated by
     the Commission and that, subsequent to the date of the most recent
     financial statements in the Prospectus, there has been no material adverse
     change in the financial position or results of operations of the Company
     and its subsidiaries, taken as a whole, except as set forth in or
     contemplated by the Prospectus or as described in such certificate.

          (g)  The Representatives shall have received a letter, dated the
     Closing Date, of Deloitte & Touche LLP or any successor independent public
     auditors of Company in form and substance satisfactory to the
     Representatives, to the effect that:

               (i)  They are independent public accountants with respect to the
          Company and its subsidiaries within the meaning of the 1933 Act and
          the applicable Rules and Regulations.

              (ii)  In their opinion, the financial statements and any
          supporting schedules, including any pro forma financial statements, of
          the Company and its subsidiaries examined by them and included or
          incorporated by reference in the Registration 
<PAGE>
 
                                                                              18

          Statement comply as to form in all material respects with the
          applicable accounting requirements of the 1933 Act and the Rules and
          Regulations promulgated thereunder with respect to registration
          statements on Form S-3 and the 1934 Act and the Rules and Regulations
          promulgated thereunder.

             (iii)  They have performed specified procedures, not constituting
          an audit, including a review in accordance with standards established
          by the American Institute of Certified Public Accountants of the
          latest available interim financial statements of the Company and its
          subsidiaries, a reading of the minute books of the Company since the
          end of the most recent fiscal year with respect to which an audit
          report has been issued, inquiries of and discussions with certain
          officials of the Company and such subsidiaries responsible for
          financial and accounting matters with respect to the unaudited
          consolidated financial statements included in the Registration
          Statement and Prospectus and the latest available interim unaudited
          financial statements of the Company and its subsidiaries, and such
          other inquiries and procedures as may be specified in such letter, and
          on the basis of such inquiries and procedures nothing came to their
          attention that caused them to believe that: (A) the unaudited
          consolidated financial statements of the Company and its subsidiaries
          included in the Registration Statement and Prospectus do not comply as
          to form in all material respects with the applicable accounting
          requirements of the 1934 Act and the applicable Rules and Regulations
          or were not fairly presented in conformity with generally accepted
          accounting principles in the United States applied on a basis
          consistent with that of the audited financial statements included
          therein, (B) at the date of the latest available balance sheet, there
          was any change in the consolidated capital stock or any increase in
          consolidated long-term debt of the Company and its subsidiaries or any
          decrease in the consolidated 
<PAGE>
 
                                                                              19

          net assets or consolidated stockholders' equity of the Company and its
          subsidiaries, or any increase or decrease in any other items specified
          by the Representatives, in each case as compared with the amounts
          shown on the most recent consolidated balance sheet of the Company and
          its subsidiaries included in the Registration Statement and Prospectus
          or, during the period from the date of the latest income statement
          included in the Prospectus to the closing date of the latest available
          income statement, there were any decreases, as compared with the
          corresponding period in the preceding year, in consolidated revenues
          or net income of the Company and its subsidiaries, or any increase or
          decrease in any other items specified by the Representatives, or (C)
          at a specified date not more than five days prior to the date of such
          letter, there was any change in the consolidated capital stock or
          consolidated stockholders' equity or any increase in long-term debt of
          the Company and its subsidiaries, or any increase or decrease in any
          other items reasonably specified by the Underwriters, in each case as
          compared with the amounts shown on the most recent consolidated
          balance sheet of the Company and its subsidiaries included in the
          Registration Statement and Prospectus, except in each such case as set
          forth in or contemplated by the Registration Statement and Prospectus
          or except for such exceptions enumerated in such letter as shall have
          been agreed to by the Representatives and the Company.

              (iv)  On the basis of a reading of the unaudited pro forma
          financial statements included or incorporated in the Registration
          Statement, if any, and the Prospectus (the "pro forma financial
          statements"), carrying out certain specified procedures; inquiries of
          certain officials of the Company who have responsibility for financial
          and accounting matters, and proving the arithmetic accuracy of the
          application of the pro forma adjustments to the historical amounts in
          the pro forma financial statements, nothing came to their 
<PAGE>
 
                                                                              20


          attention that caused them to believe that the pro forma financial
          statements do not comply in form in all material respects with the
          applicable accounting requirements of Rule 11-02 of Regulation S-X of
          the Rules and Regulations.

               (v)  In addition to the examination referred to in their report
          included or incorporated by reference in the Registration Statement
          and the Prospectus, and the limited procedures referred to in clause
          (iii) above, they have carried out certain other specified procedures,
          not constituting an audit, with respect to certain amounts,
          percentages and financial information which are included or
          incorporated by reference in the Registration Statement and Prospectus
          and which are specified by the Representatives, and have found such
          amounts, percentages and financial information to be in agreement with
          the relevant accounting, financial and other records of the Company
          and its subsidiaries identified in such letter.

          (h)  On the Closing Date, counsel to the Representatives shall have
     been furnished with such documents and opinions as such counsel may
     reasonably require for the purpose of enabling such counsel to pass upon
     the issuance and sale of Securities as herein contemplated and related
     proceedings, or in order to evidence the accuracy and completeness of any
     of the representations and warranties, or the fulfillment of any of the
     conditions, herein contained; and all proceedings taken by the Company in
     connection with the issuance and sale of Securities as herein contemplated
     shall be satisfactory in form and substance to the Representatives and to
     counsel to the Representatives.

          6.   Indemnification and Contribution. (a) The Company will indemnify
and hold harmless each Underwriter against any losses, claims, damages or
liabilities, joint or several, to which such Underwriter may become subject,
under the 1933 Act or otherwise, insofar as such losses, claims, damages or
liabilities (or actions in respect thereof) arise out of or are based upon any
untrue statement or alleged
<PAGE>
 
                                                                              21


untrue statement of any material fact contained in the Registration Statement,
the Prospectus, or any amendment or supplement thereto, or any related
preliminary prospectus or preliminary prospectus supplement, or arise out of or
are based upon the omission or alleged omission to state therein a material fact
required to be stated therein or necessary to make the statements therein not
misleading, and will reimburse each Underwriter for any legal or other expenses
reasonably incurred by such Underwriter in connection with investigating or
defending any such loss, claim, damage, liability or action as such expenses are
incurred; provided, however, that the Company will not be liable in any such
case to the extent that any such loss, claim, damage or liability arises out of
or is based upon an untrue statement or alleged untrue statement in or omission
or alleged omission from any of such documents in reliance upon and in
conformity with written information furnished to the Company by any Underwriter
through the Representatives, if any, specifically for use therein.

          (b)  Each Underwriter will indemnify and hold harmless the Company
against any losses, claims, damages or liabilities to which the Company may
become subject, under the 1933 Act or otherwise, insofar as such losses, claims,
damages or liabilities (or actions in respect thereof) arise out of or are based
upon any untrue statement or alleged untrue statement of any material fact
contained in the Registration Statement, the Prospectus, or any amendment or
supplement thereto, or any related preliminary prospectus or preliminary
prospectus supplement, or arise out of or are based upon the omission or the
alleged omission to state therein a material fact required to be stated therein
or necessary to make the statements therein not misleading, in each case to the
extent, but only to the extent, that such untrue statement or alleged untrue
statement or omission or alleged omission was made in reliance upon and in
conformity with written information furnished to the Company by such Underwriter
through the Representatives, if any, specifically for use therein, and will
reimburse any legal or other expenses reasonably incurred by the Company in
connection with investigating or defending any such loss, claim, damage,
liability or action as such expenses are incurred.

          (c)  Promptly after receipt by an indemnified 
<PAGE>
 
                                                                              22


party under this Section of notice of the commencement of any action, such
indemnified party will, if a claim in respect thereof is to be made against the
indemnifying party under subsection (a) or (b) above, notify the indemnifying
party of the commencement thereof; but the omission so to notify the
indemnifying party will not relieve it from any liability which it may have to
any indemnified party otherwise than under subsection (a) or (b) above. In case
any such action is brought against any indemnified party and it notifies the
indemnifying party of the commencement thereof, the indemnifying party will be
entitled to participate therein and, to the extent that it may wish, jointly
with any other indemnifying party similarly notified, to assume the defense
thereof, with counsel satisfactory to such indemnified party (who shall not,
except with the consent of the indemnified party, be counsel to the indemnifying
party), and after notice from the indemnifying party to such indemnified party
of its election so to assume the defense thereof, the indemnifying party will
not be liable to such indemnified party under this Section for any legal or
other expenses subsequently incurred by such indemnified party in connection
with the defense thereof other than reasonable costs of investigation.

          (d)  If the indemnification provided for in this Section is
unavailable or insufficient to hold harmless an indemnified party under
subsection (a) or (b) above, then each indemnifying party shall contribute to
the amount paid or payable by such indemnified party as a result of the losses,
claims, damages or liabilities referred to in subsection (a) or (b) above (i) in
such proportion as is appropriate to reflect the relative benefits received by
the Company on the one hand and the Underwriters on the other from the offering
of the Securities or (ii) if the allocation provided by clause (i) above is not
permitted by applicable law, in such proportion as is appropriate to reflect not
only the relative benefits referred to in clause (i) above but also the relative
fault of the Company on the one hand and the Underwriters on the other in
connection with the statements or omissions which resulted in such losses,
claims, damages or liabilities as well as any other relevant equitable
considerations. The relative benefits received by the Company on the one hand
and the Underwriters on the other shall be deemed to be in the same proportion
as
<PAGE>
 
                                                                              23


the total net proceeds from the offering (before deducting expenses) received by
the Company bear to the total underwriting discounts and commissions received by
the Underwriters. The relative fault shall be determined by reference to, among
other things, whether the untrue or alleged untrue statement of a material fact
or the omission or alleged omission to state a material fact relates to
information supplied by the Company or the Underwriters and the parties'
relative intent, knowledge, access to information and opportunity to correct or
prevent such untrue statement or omission. The amount paid by an indemnified
party as a result of the losses, claims, damages or liabilities referred to in
the first sentence of this subsection (d) shall be deemed to include any legal
or other expenses reasonably incurred by such indemnified party in connection
with investigating or defending any action or claim which is the subject of this
subsection (d). Notwithstanding the provisions of this subsection (d), no
Underwriter shall be required to contribute any amount in excess of the amount
by which the total price at which the Securities underwritten by it and
distributed to the public were offered to the public exceeds the amount of any
damages which such Underwriter has otherwise been required to pay by reason of
such untrue or alleged untrue statement or omission or alleged omission. No
person guilty of fraudulent misrepresentation (within the meaning of Section
11(f) of the 1933 Act) shall be entitled to contribution from any person who was
not guilty of such fraudulent misrepresentation. The Underwriters' obligations
in this subsection (d) to contribute are several in proportion to their
respective underwriting obligations and not joint.

          (e)  The obligations of the Company under this Section shall be in
addition to any liability which the Company may otherwise have and shall extend,
upon the same terms and conditions, to each person, if any, who controls any
Underwriter within the meaning of the 1933 Act; and the obligations of the
Underwriters under this Section shall be in addition to any liability which the
respective Underwriters may otherwise have and shall extend, upon the same
terms and conditions, to each director of the Company, to each officer of the
Company who has signed the Registration Statement and to each person, if any,
who controls the Company within the meaning of the 1933 Act.
<PAGE>
 
                                                                              24


          7.  Default of Underwriters.  If any Underwriter or Underwriters
default in their obligations to purchase Securities under the Terms Agreement
and the aggregate principal amount of the Securities that such defaulting
Underwriter or Underwriters agreed but failed to purchase does not exceed 10% of
the total principal amount of the Securities, the Representatives may make
arrangements satisfactory to the Company for the purchase of such Securities by
other persons, including any of the Underwriters, but if no such arrangements
are made by the Closing Date, the non-defaulting Underwriters shall be obligated
severally, in proportion to their respective commitments under this Agreement
and the Terms Agreement, to purchase the Securities that such defaulting
Underwriters agreed but failed to purchase. If any Underwriter or Underwriters
so default and the aggregate principal amount of the Securities with respect to
which such default or defaults occur exceeds 10% of the total principal amount
of the Securities and arrangements satisfactory to the Representatives and the
Company for the purchase of such Securities by other persons are not made within
36 hours after such default, such Terms Agreement will terminate without
liability on the part of any nondefaulting Underwriter or the Company, except as
provided in Section 8. As used in this Agreement, the term "Underwriter"
includes any person substituted for an Underwriter under this Section. Nothing
herein will relieve a defaulting Underwriter from liability for its default. The
respective commitments of the several Underwriters for the purposes of this
Section shall be determined without regard to reduction in the respective
Underwriters' obligations to purchase the principal amounts of the Securities
set forth opposite their names in the Terms Agreement as a result of Delayed
Delivery Contracts entered into by the Company.

          The foregoing obligations and agreements set forth in this Section
will not apply if the Terms Agreement specifies that such obligations and
agreements will not apply.

          8.  Survival of Certain Representations and Obligations.  The
respective indemnities, agreements, representations, warranties and other
statements of the Company or its officers and of the several Underwriters set
forth in or made pursuant to this Agreement will remain in 
<PAGE>
 
                                                                              25


full force and effect, regardless of any investigation, or statement as to the
results thereof, made by or on behalf of any Underwriter, the Company or any of
their respective representatives, officers or directors or any controlling
person, and will survive delivery of and payment for the Securities. If the
Terms Agreement is terminated pursuant to Section 7 or if for any reason the
purchase of the Securities by the Underwriters under the Terms Agreement is not
consummated, the Company shall remain responsible for the expenses to be paid or
reimbursed by it pursuant to Section 4 and the respective obligations of the
Company and the Underwriters pursuant to Section 6 shall remain in effect. If
the purchase of the Securities by the Underwriters is not consummated for any
reason other than because of the termination of the Terms Agreement pursuant to
Section 7 or the occurrence of any event specified in Section 5(b), the Company
will reimburse the Underwriters for all out-of-pocket expenses (including fees
and disbursements of counsel) reasonably incurred by them in connection with the
offering of the Securities.

          9.  Notices.  All communications hereunder will be in writing and, if
sent to the Underwriters, will be mailed, delivered or telegraphed and confirmed
to them at their addresses furnished to the Company in writing for the purpose
of communications hereunder or, if sent to the Company, will be mailed,
delivered or telegraphed and confirmed to it at 801 Cherry Street, Fort Worth,
Texas 76102, Attention:  Treasurer.

          10.  Certain Definitions.  The terms which follow, when used in this
Agreement, shall have the meanings indicated.

          "1933 Act" shall mean the Securities Act of 1933, as amended, and the
     rules and regulations of the Commission promulgated thereunder.

          "1934 Act" shall mean the Securities Exchange Act of 1934, as amended,
     and the rules and regulations of the Commission promulgated thereunder.

          "Effective Date" shall mean each date and time that the Registration
     Statement, any post-effective 
<PAGE>
 
                                                                              26


     amendment or amendments thereto and any Rule 462(b) Registration Statement
     became or become effective.

          "Execution Time" shall mean the date and time that any Terms Agreement
     referred to in Section 3 is executed and delivered by the Company and the
     Underwriters.

          "Preliminary Prospectus" shall mean any preliminary prospectus
     referred to in Section 2(a) and any preliminary prospectus included in the
     Registration Statement at the Effective Date that omits Rule 430A
     Information.

          "Prospectus" shall mean the prospectus relating to the Securities that
     is first filed pursuant to Rule 424(b) after the Execution Time or, if no
     filing pursuant to Rule 424(b) is required, shall mean the form of final
     prospectus relating to the Securities included in the Registration
     Statement at the Effective Date.

          "Registration Statement" shall mean the registration statement
     referred to in paragraph 1(a) above, including exhibits and financial
     statements, as amended at the Execution Time (or, if not effective at the
     Execution Time, in the form in which it shall become effective) and, in the
     event any post-effective amendment thereto or any Rule 462(b) Registration
     Statement becomes effective prior to the Closing Date, shall also mean such
     registration statement as so amended or such Rule 462(b) Registration
     Statement, as the case may be.  Such term shall include any Rule 430A
     Information deemed to be included therein at the Effective Date as provided
     by Rule 430A.

          "Rule 415", "Rule 424", "Rule 430A", "Rule 462" and "Regulation S-K"
     refer to such rules or regulation under the 1933 Act.

          "Rule 430A Information" shall mean information with respect to the
     Securities and the offering thereof permitted to be omitted from the
     Registration Statement when it becomes effective pursuant to Rule 430A.
<PAGE>
 
                                                                              27


          "Rule 462(b) Registration Statement" shall mean a registration
     statement and any amendments thereto filed pursuant to Rule 462(b) relating
     to the offering covered by the initial registration statement.

          "Trust Indenture Act" shall mean the Trust Indenture Act of 1939, as
     amended, and the rules and regulations of the Commission promulgated
     thereunder.

          11.  Successors.  This Agreement will inure to the benefit of and be
binding upon the Company and such Underwriters as are identified in the Terms
Agreement and their respective successors and the officers and directors and
controlling persons referred to in Section 6, and no other person will have any
right or obligation hereunder.

          12.  Applicable Law.  This Agreement and the Terms Agreement shall be
governed by, and construed in accordance with, the laws of the State of New
York.
<PAGE>
 
                                                                         ANNEX I


                       UNION PACIFIC RESOURCES GROUP INC.
                                (THE "COMPANY")
                                DEBT SECURITIES

                                TERMS AGREEMENT



                                                             _____________, 199_


Union Pacific Resources Group Inc.
801 Cherry Street
Mail Station 3213
Fort Worth, TX 76102

Attention:

Dear Sirs:

          [On behalf of the several Underwriters named in Schedule A hereto and
for their respective accounts, we--We] offer to purchase, on and subject to the
terms and conditions of the Underwriting Agreement filed by the Company on Form
8-K (the "Underwriting Agreement"), the following securities (the "Securities")
on the following terms:

          TITLE:  [    ]% [Floating Rate]--Notes--Debentures--Bonds--Due _____.
 
          PRINCIPAL AMOUNT:  $
 
          INTEREST:  [    ]% per annum, from  ___________, 19__, PAYABLE 
semiannually on __________ and __________ commencing _________, 19__, to 
holders of record on the preceding _____________ or _______________, as the 
case may be.
 
          MATURITY:
 
          OPTIONAL REDEMPTION:
 
          SINKING FUND:
 
<PAGE>
 
                                                                               2


          DELAYED DELIVERY CONTRACTS:  [None.]  [Delivery Date[s] shall be
___________, 19__.  Underwriter['s][s'] fee is [  ]% of the principal amount of
the Contract Securities.]
 
          PURCHASE PRICE:  [     ]% of principal amount plus accrued interest[, 
if any,] from ____________, 19__.
 
          EXPECTED REOFFERING PRICE:  [      ]% of principal amount, subject to
change by the undersigned.
 
          CLOSING: _____ a.m. on _____________, 19__, at the offices of 
[Cravath, Swaine & Moore, Worldwide Plaza, 825 Eighth Avenue, New York, NY 
10019], in same day funds. 

          NAME[S] AND ADDRESS[ES] OF REPRESENTATIVE[S]:





          The respective principal amounts of the Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

          [If appropriate, insert--It is understood that we may, with your
consent, amend this offer to add additional Underwriters and reduce the
aggregate principal amount to be purchased by the Underwriters listed in
Schedule A hereto by the aggregate principal amount to be purchased by such
additional Underwriters.]

          The provisions of the Underwriting Agreement are incorporated herein
by reference.  [If appropriate, insert--, except that the obligations and
agreements set forth in Section 7 ("Default of Underwriters") of the
Underwriting Agreement shall not apply to the obligations of the Underwriters to
purchase the above Securities] [If appropriate, insert--, except that the
provisions of Section   are amended as follows:     ].

          The Securities will be made available for checking at the offices of
[Cravath, Swaine & Moore] at least 24 hours prior to the Closing Date.
<PAGE>
 
                                                                               3


          [Please signify your acceptance of our offer by signing the enclosed
response to us in the space provided and returning it to us by mail or hand
delivery.]

          [Please signify your acceptance of the foregoing by return wire not
later than     P.M. today.]


                              Very truly yours,

                              [Insert name(s) of Representatives or
                              Underwriters]
                              [On behalf of--themselves--itself--and as
                              Representative[s] of the Several] [As]
                              [Underwriter[s]]

                              [By [lead manager]]

                                    By
                                       ----------------------------------
                                                           [Insert Title]

          If the Securities are denominated in a currency other than United
States dollars, make appropriate modifications to provisions of Terms Agreement
(e.g., type of funds specified under "Closing") and consider including in the
Terms Agreement such changes and additions to the Underwriting Agreement as may
be appropriate in the circumstances, e.g., expanding Section 4(h) to cover debt
securities denominated in the currency in which the Securities are denominated,
expanding Section 5(b)(iv) to cover a banking moratorium declared by authorities
in the country of such currency, expanding Section 5(b)(v) to cover a change or
prospective change in, or governmental action affecting, exchange controls
applicable to such currency, and modifying Section 5(e) to permit a statement to
the effect that enforcement of the Indenture and the Securities is subject to
provisions of law which may require that a judgment for money damages rendered
by a court in the United States be expressed only in United States dollars and
appropriate exceptions as to any provisions requiring payment of additional
amounts.  Also consider requiring an opinion of counsel for the Company
confirming information as 
<PAGE>
 
                                                                               4


to United States tax matters in the Prospectus and an opinion of foreign counsel
for the Company regarding such matters as foreign consents, approvals,
authorizations, licenses, waivers, withholding taxes, transfer or stamp taxes
and any information as to foreign laws in the Prospectus.
<PAGE>
 
                                                                               5


                                   SCHEDULE A


Underwriter                                                    Principal Amount
- -----------                                                    ----------------
                                                                  $
 
 
                                                               ----------------
Total . . . . . . . . . . . . . . . . . . . . . . . . . .         $
<PAGE>
 
                                                                               6


To:  [Insert name(s) of Representatives or Underwriters]
       As [Representative[s] of the Several] Underwriter[s],
          [c/o [name and address of lead manager]


     We accept the offer contained in your [letter] [wire], dated __________,
19__, relating to $______ million principal amount of our [insert title of
Securities].  We also confirm that, to the best of our knowledge after
reasonable investigation, the representations and warranties of the undersigned
in the Underwriting Agreement filed as an exhibit to the undersigned's
registration statement on Form S-3 (No. 33-     ) (the "Underwriting Agreement")
are true and correct, no stop order suspending the effectiveness of the
Registration Statement (as defined in the Underwriting Agreement) or of any part
thereof has been issued and no proceedings for that purpose have been instituted
or, to the knowledge of the undersigned, are contemplated by the Securities and
Exchange Commission and, subsequent to the respective dates of the most recent
financial statements in the Prospectus (as defined in the Underwriting
Agreement), there has been no material adverse change in the financial position
or results of operations of the undersigned and its subsidiaries, taken as a
whole, except as set forth in or contemplated by the Prospectus.

                                    Very truly yours,


                                    UNION PACIFIC RESOURCES
                                    GROUP INC.
 
                                    by

                                      ________________________
                                      Name:
                                      Title:
<PAGE>
 
                                                                        ANNEX II



(Three copies of this Delayed Delivery Contract should be signed and returned to
the address shown below so as to arrive not later than 9:00 A.M., New York time,
on___________________ ___, 199_.) 1/ 





                           DELAYED DELIVERY CONTRACT


                                                                          [date]

UNION PACIFIC RESOURCES GROUP INC.
 c/o [name and address of
     lead manager]

Gentlemen:

          The undersigned hereby agrees to purchase from Union Pacific Resources
Group Inc., a Utah corporation ("Company"), and the Company agrees to sell to
the undersigned, [If one delayed closing, insert--as of the date hereof, for
delivery on        , 19   ("Delivery Date")]

                              [$] ..............

principal amount of the Company's [Insert title of securities] ("Securities"),
offered by the Company's Prospectus dated           , 19   and a Prospectus
Supplement dated           , 19   relating thereto, receipt of copies of which
is hereby acknowledged, at    % of the principal amount thereof plus accrued
interest, if any, and on the further terms and conditions set forth in this
Delayed Delivery Contract ("Contract").



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

     1/     Insert date which is third full business day prior to Closing Date
under the Terms Agreement.
<PAGE>
 
                                                                               2


          [If two or more delayed closings, insert the following:

          The undersigned will purchase from the Company as of the date hereof,
for delivery on the dates set forth below, Securities in the principal amounts
set forth below:

               Delivery Date                     Principal Amount
               -------------                     ----------------

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

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

Each of such delivery dates is hereinafter referred to as a Delivery Date.]

          Payment for the Securities that the undersigned has agreed to purchase
for delivery on--the--each--Delivery Date shall be made to the Company or its
order in same day funds at the office of
at                                                                      
            .M. on--the--such--Delivery Date upon delivery to the undersigned 
of the Securities to be purchased by the undersigned--for delivery on such
Delivery Date--in definitive fully registered form and in such denominations
and registered in such names as the undersigned may designate by written or
telegraphic communication addressed to the Company not less than five full
business days prior to--the--such--Delivery Date.

          It is expressly agreed that the provisions for delayed delivery and
payment are for the sole convenience of the undersigned; that the purchase
hereunder of Securities is to be regarded in all respects as a purchase as of
the date of this Contract; that the obligation of the Company to make delivery
of and accept payment for, and the obligation of the undersigned to take
delivery of and make payment for, Securities on--the--each--Delivery Date shall
be subject only to the conditions that (1) investment in the Securities shall
not at--the--such--Delivery Date be prohibited under the laws of any
jurisdiction in the United States to which the undersigned is subject and (2)
the Company shall have sold to the Underwriters the total principal amount of
the Securities less the principal amount thereof covered by this 
<PAGE>
 
                                                                               3


and other similar Contracts. The undersigned represents that its investment in
the Securities is not, as of the date hereof, prohibited under the laws of any
jurisdiction to which the undersigned is subject and which governs such
investment.

          Promptly after completion of the sale to the Underwriters the Company
will mail or deliver to the undersigned at its address set forth below notice
to such effect, accompanied by a copy of the opinion of counsel for the Company
delivered to the Underwriters in connection therewith.

          This Contract will inure to the benefit of and be binding upon the
parties hereto and their respective successors, but will not be assignable by
either party hereto without the written consent of the other.

          It is understood that the acceptance of any such Contract is in the
Company's sole discretion and, without limiting the foregoing, need not be on a
first-come, first-served basis.  If this Contract is acceptable to the Company,
it is requested that the Company sign the form of acceptance below and mail or
deliver one of the counterparts hereof to the undersigned at its address set
forth below. This will become a binding contract between the Company and the
undersigned when such counterpart is so mailed or delivered.

                                       Yours very truly,

                                         -------------------------------
                                               (Name of Purchaser)

                                         By 
                                           -----------------------------

                                           -----------------------------
                                               (Title of Signatory)

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

                                           -----------------------------
                                              (Address of Purchaser)
<PAGE>
 
                                                                               4

Accepted, as of the above date.

UNION PACIFIC RESOURCES GROUP INC.


   By __________________________
           [Insert Title]

<PAGE>
 
                                                                     EXHIBIT 4.1

                      UNION PACIFIC RESOURCES GROUP INC.
                                  ("COMPANY")


                                DEBT SECURITIES

                                TERMS AGREEMENT



                                                                    May 13, 1998



Union Pacific Resources Group Inc.
801 Cherry Street
Mail Station 3213
Fort Worth, TX 76102

Attention:

Ladies and Gentlemen:

          We offer to purchase, on and subject to the terms and conditions of
the Underwriting Agreement being filed with the Securities and Exchange
Commission on Form 8-K (the "Underwriting Agreement"), the following securities
(the "Securities") on the following terms:

          TITLE:         6.50% Notes due May 15, 2005 (the "2005 Notes").
 

          PRINCIPAL AMOUNT:   $200,000,000.
 
          INTEREST: 6.50% per annum, from May 18, 1998, payable semiannually on
May 15 and November, 15 commencing November 15, 1998, to holders of record on
the preceding April 30 or October 31, as the case may be.

          MATURITY:  May 15, 2005.

          OPTIONAL REDEMPTION: The 2005 Notes will be redeemable as a whole or
in part, at the option of the Company at any time, at a redemption price equal
to the greater of (i) 100% of the principal amount of the Securities to be
redeemed and (ii) the sum of the present values of the Remaining Scheduled
Payments (as hereinafter defined) thereon, discounted to the redemption date on
a semiannual basis (assuming a 2360-day year consisting of twelve 30-day months)
at the Treasury Rate plus 15 basis points, plus accrued interest on the
principal amount being redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.
<PAGE>
 
                                                                               2



          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Securities to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Securities.  "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee (as defined in the
Underwriting Agreement) after consultation with the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any successor release) published by the Federal
Reserve Bank of New York and designated "Composite 3:30 p.m. Quotations for U.S.
Government Securities" or (ii) if such release (or any successor release) is not
published or does not contain such prices on such business day, the arithmetic
average of the Reference Treasury Dealer Quotations for such redemption date.
"Reference Treasury Dealer Quotations" means, with respect to each Reference
Treasury Dealer and any redemption date, the arithmetic average, as determined
by the Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Security,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Security, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Securities to be
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Securities or
portions thereof called for redemption.

          SINKING FUND:  None.

          DELAYED DELIVERY CONTRACTS: None.

          PURCHASE PRICE:  99.12% of principal amount plus accrued interest, if
any, from May 18, 1998.
<PAGE>
 
                                                                               3

          EXPECTED REOFFERING PRICE: 99.752% of principal amount, subject to
change by the undersigned.

          CLOSING:  10:00 A.M. on May 18, 1998, at the offices of Cravath,
Swaine & Moore, Worldwide Plaza, 825 Eighth Avenue, New York, NY 10019, in same
day funds.

          NAME AND ADDRESS OF REPRESENTATIVE:

               Salomon Brothers Inc
               388 Greenwich Street
               New York, NY 10013

          The respective principal amounts of the Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

          The provisions of the Underwriting Agreement are incorporated herein
by reference.

          The Securities will be made available for checking at the offices of
Cravath, Swaine & Moore at least 24 hours prior to the Closing Date.
<PAGE>
 
          Please signify your acceptance of our offer by signing the enclosed
response to us in the space provided and returning it to us by mail or hand
delivery.

                                        Very truly yours,

                                        Salomon Brothers Inc

                                        On behalf of themselves and as
                                        Representative of the several
                                        Underwriters listed in Schedule A hereto

                                          by

                                              SALOMON BROTHERS INC

                                                  by
                                                    /s/ Angela M. Reiton
                                                   -----------------------------
                                                   Name:  Angela M. Reiton
                                                   Title: Associate
<PAGE>
 
                                  SCHEDULE A


                                                               PRINCIPAL AMOUNT
UNDERWRITER                                                     OF  2005 NOTES
- -----------                                                    ----------------
Salomon Brothers Inc...........................................    $ 65,500,000
Credit Suisse First Boston
   Corporation.................................................      50,000,000
Chase Securities Inc...........................................      26,000,000
Goldman, Sachs & Co............................................      26,000,000
ABN AMRO Incorporated..........................................       8,000,000
BancAmerica Robertson Stephens.................................       8,000,000
NationsBanc Montgomery Securities
   LLC.........................................................       8,000,000
RBC Dominion Securities Inc....................................       8,000,000
Howard, Weil, Labouisse, Friedrichs
   Incorporated................................................         250,000
Petrie Parkman & Co., Inc......................................         250,000
                                                                   ------------
   Total.......................................................    $200,000,000
                                                                   ============
<PAGE>
 
To:  Salomon Brothers Inc
     Credit Suisse First Boston Corporation
     Chase Securities Inc.
     Goldman, Sachs & Co.
     ABN AMRO Incorporated
     BancAmerica Robertson Stephens
     Howard, Weil, Labouisse, Friedrichs Incorporated
     NationsBanc Montgomery Securities LLC
     Petrie Parkman & Co., Inc.
     RBC Dominion Securities Inc.


     As Underwriters
        c/o Salomon Brothers Inc
             388 Greenwich Street
              New York, NY 10013


          We accept the offer contained in your letter dated May 13, 1998,
relating to $200 million principal amount of our 6.50% Notes due May 15, 2005.
We also confirm that, to the best of our knowledge after reasonable
investigation, the representations and warranties of the undersigned in the
Underwriting Agreement being filed with the Securities and Exchange Commission
by us on Form 8-K (the "Underwriting Agreement") are true and correct, no stop
order suspending the effectiveness of the Registration Statement (as defined in
the Underwriting Agreement) or of any part thereof has been issued and no
proceedings for that purpose have been instituted or, to the knowledge of the
undersigned, are contemplated by the Securities and Exchange Commission and,
subsequent to the respective dates of the most recent financial statements in
the Prospectus (as defined in the Underwriting Agreement), there has been no
material adverse change in the financial position or results of operations of
the undersigned and its subsidiaries taken as a whole, except as set forth in or
contemplated by the Prospectus.

                                        Very truly yours,

                                        UNION PACIFIC RESOURCES
                                        GROUP INC.,

                                        by
                                             /s/ M. B. Smith
                                            ------------------------------------
                                            Name:  Morris B. Smith
                                            Title: Vice President and Chief
                                                   Financial Officer
                                                    

<PAGE>
 
                                                                     EXHIBIT 4.2

                      UNION PACIFIC RESOURCES GROUP INC.
                                  ("COMPANY")


                                DEBT SECURITIES

                                TERMS AGREEMENT



                                                                    May 13, 1998



Union Pacific Resources Group Inc.
801 Cherry Street
Mail Station 3213
Fort Worth, TX 76102

Attention:

Ladies and Gentlemen:

          We offer to purchase, on and subject to the terms and conditions of
the Underwriting Agreement being filed with the Securities and Exchange
Commission on Form 8-K (the "Underwriting Agreement"), the following securities
(the "Securities") on the following terms:

          TITLE:     6.75% Notes due May 15, 2008 (the "2008 Notes").


          PRINCIPAL AMOUNT:   $200,000,000.
 
          INTEREST: 6.75% per annum, from May 18, 1998, payable semiannually on
May 15 and November, 15 commencing November 15, 1998, to holders of record on
the preceding April 30 or October 31, as the case may be.

          MATURITY:  May 15, 2008.

          OPTIONAL REDEMPTION:  The 2008 Notes will be redeemable as a whole or
in part, at the option of the Company at any time, at a redemption price equal
to the greater of (i) 100% of the principal amount of the Securities to be
redeemed and (ii) the sum of the present values of the Remaining Scheduled
Payments (as hereinafter defined) thereon, discounted to the redemption date on
a semiannual basis (assuming a 360-day year consisting of twelve 30-day months)
at the Treasury Rate plus 15 basis points, plus accrued interest on the
principal amount being redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.
<PAGE>
 
                                                                               2

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Securities to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Securities. "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee (as defined in the
Underwriting Agreement) after consultation with the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average cf the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any successor release) published by the Federal
Reserve Bank of New York and designated "Composite 3:30 p.m. Quotations for U.S.
Government Securities" or (ii) if such release (or any successor release) is not
published or does not contain such prices on such business day, the arithmetic
average of the Reference Treasury Dealer Quotations for such redemption date.
"Reference Treasury Dealer Quotations" means, with respect to each Reference
Treasury Dealer and any redemption date, the arithmetic average, as determined
by the Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Security,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Security, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Securities to he
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Securities or
portions thereof called for redemption.

          SINKING FUND:  None.

          DELAYED DELIVERY CONTRACTS: None.

          PURCHASE PRICE:  99.207% of principal amount, plus accrued interest,
if any, from May 18, 1998.
<PAGE>
                                                                               3

 
          EXPECTED REOFFERING PRICE:  99.857% of principal amount, subject to
change by the undersigned.

          CLOSING:  10:00 A.M. on May 18, 1998, at the offices of Cravath,
Swaine & Moore, Worldwide Plaza, 825 Eighth Avenue, New York, NY 10019, in same
day funds.

          NAME AND ADDRESS OF REPRESENTATIVE:

               Salomon Brothers Inc
               388 Greenwich Street
               New York, NY 10013

          The respective principal amounts of the Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

          The provisions of the Underwriting Agreement are incorporated herein
by reference.

          The Securities will be made available for checking at the offices of
Cravath, Swaine & Moore at least 24 hours prior to the Closing Date.
<PAGE>
 
          Please signify your acceptance of our offer by signing the enclosed
response to us in the space provided and returning it to us by mail or hand
delivery.

                                        Very truly yours,

                                        Salomon Brothers Inc

                                        On behalf of themselves and as
                                        Representative of the several
                                        Underwriters listed in Schedule A hereto

                                            by

                                              SALOMON BROTHERS INC

                                               by
                                                    /s/ Angela M. Reiton
                                                  ----------------------
                                                  Name: Angela M. Reiton
                                                  Title: Associate
<PAGE>
 
                                  SCHEDULE A


                                                        PRINCIPAL AMOUNT
UNDERWRITER                                               OF 2008 NOTES 
- -----------                                             ---------------- 
Salomon Brothers Inc...................................   $ 65,500,000
Credit Suisse First Boston.............................     50,000,000
  Corporation
Chase Securities Inc...................................     26,000,000
Goldman, Sachs & Co....................................     26,000,000
ABN AMRO Incorporated..................................      8,000,000
BancAmerica Robertson Stephens.........................      8,000,000
NationsBanc Montgomery Securities LLC..................      8,000,000
RBC Dominion Securities Inc............................      8,000,000
Howard, Weil, Labouisse, Friedrichs
  Incorporated.........................................        250,000
Petrie Parkman & Co., Inc..............................        250,000
                                                          ------------
  Total................................................   $200,000,000
                                                          ============ 
<PAGE>
 
To:  Salomon Brothers Inc
     Credit Suisse First Boston Corporation
     Chase Securities Inc.
     Goldman, Sachs & Co.
     ABN AMRO Incorporated
     BancAmerica Robertson Stephens
     Howard, Weil, Labouisse, Friedrichs Incorporated
     NationsBanc Montgomery Securities LLC
     Petrie Parkman & Co., Inc.
     RBC Dominion Securities Inc.

     As Underwriters
        c/o Salomon Brothers Inc
            388 Greenwich Street
              New York, NY 10013


          We accept the offer contained in your letter dated May 13, 1998,
relating to $200 million principal amount of our 6.75% Notes due May 15, 2008.
We also confirm that, to the best of our knowledge after reasonable
investigation, the representations and warranties of the undersigned in the
Underwriting Agreement being filed with the Securities and Exchange Commission
by us on Form 8-K (the "Underwriting Agreement") are true and correct, no stop
order suspending the effectiveness of the Registration Statement (as defined in
the Underwriting Agreement) or of any part thereof has been issued and no
proceedings for that purpose have been instituted or, to the knowledge of the
undersigned, are contemplated by the Securities and Exchange Commission and,
subsequent to the respective dates of the most recent financial statements in
the Prospectus (as defined in the Underwriting Agreement), there has been no
material adverse change in the financial position or results of operations of
the undersigned and its subsidiaries taken as a whole, except as set forth in or
contemplated by the Prospectus.

                                        Very truly yours,

                                        UNION PACIFIC RESOURCES
                                        GROUP INC.,

                                        by
                                             /s/ M. B. Smith
                                           ------------------------------
                                           Name: Morris B. Smith
                                           Title: Vice President and 
                                                  Chief Financial Officer

<PAGE>
 
                                                                     EXHIBIT 4.3

                      UNION PACIFIC RESOURCES GROUP INC.
                                (THE "COMPANY")


                                DEBT SECURITIES

                                TERMS AGREEMENT



                                                                    May 13, 1998



Union Pacific Resources Group Inc.
801 Cherry Street
Mail Station 3213
Fort Worth, TX 76102

Attention:

Ladies and Gentlemen:

          We offer to purchase, on and subject to the terms and conditions of
the Underwriting Agreement being filed with the Securities and Exchange
Commission on Form 8-K (the "Underwriting Agreement"), the following securities
(the "Securities") on the following terms:

          TITLE:         7.05% Debentures due May 15, 2018 (the "2018
                         Debentures").

          PRINCIPAL AMOUNT:   $200,000,000.
 
          INTEREST: 7.05% per annum, from May 18, 1998, payable semiannually on
May 15 and November, 15 commencing November 15, 1998, to holders of record on
the preceding April 30 or October 31, as the case may be.

          MATURITY:  May 15, 2018.

          OPTIONAL REDEMPTION:  The 2018 Debentures will be redeemable as a
whole or in part, at the option of the Company at any time, at a redemption
price equal to the greater of (i) 100% of the principal amount of the Securities
to be redeemed and (ii) the sum of the present values of the Remaining Scheduled
Payments (as hereinafter defined) thereon, discounted to the redemption date on
a semiannual basis (assuming a 360-day year consisting of twelve 30-day months)
at the Treasury Rate plus 20 basis points, plus accrued interest on the
principal amount being redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury 
<PAGE>
 
Issue, assuming a price for the Comparable Treasury Issue (expressed as a
percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Securities to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Securities. "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee (as defined in the
Underwriting Agreement) after consultation with the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average cf the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any successor release) published by the Federal
Reserve Bank of New York and designated "Composite 3:30 p.m. Quotations for U.S.
Government Securities" or (ii) if such release (or any successor release) is not
published or does not contain such prices on such business day, the arithmetic
average of the Reference Treasury Dealer Quotations for such redemption date.
"Reference Treasury Dealer Quotations" means, with respect to each Reference
Treasury Dealer and any redemption date, the arithmetic average, as determined
by the Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Security,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Security, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Securities to he
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Securities or
portions thereof called for redemption.

          SINKING FUND:  None.

          DELAYED DELIVERY CONTRACTS: None.
<PAGE>
 
          PURCHASE PRICE:  98.617% of principal, plus accrued interest, if any,
from May 18, 1998.

          EXPECTED REOFFERING PRICE:  99.492% of principal amount, subject to
change by the undersigned.

          CLOSING:  10:00 A.M. on May 18, 1998, at the offices of Cravath,
Swaine & Moore, Worldwide Plaza, 825 Eighth Avenue, New York, NY 10019, in same
day funds.

          NAME AND ADDRESS OF REPRESENTATIVE:

               Salomon Brothers Inc
               388 Greenwich Street
               New York, NY 10013

          The respective principal amounts of the Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

          The provisions of the Underwriting Agreement are incorporated herein
by reference.

          The Securities will be made available for checking at the offices of
Cravath, Swaine & Moore at least 24 hours prior to the Closing Date.
<PAGE>
 
          Please signify your acceptance of our offer by signing the enclosed
response to us in the space provided and returning it to us by mail or hand
delivery.

                                  Very truly yours,

                                  Salomon Brothers Inc

                                  On behalf of themselves and as 
                                  Representative of the several Underwriters 
                                  listed in Schedule A hereto

                                    by

                                      SALOMON BROTHERS INC

                                        by  /s/ ANGELA M. REITON
                                          -------------------------------------
                                          Name: Angela M. Reiton
                                          Title: Associate
<PAGE>
 
                                  SCHEDULE A


                                                           PRINCIPAL AMOUNT
                                                               OF 2018
UNDERWRITER                                                   DEBENTURES
- -----------                                                ----------------
Salomon Brothers Inc..................................       $ 65,500,000
Credit Suisse First Boston                             
   Corporation........................................         50,000,000
Chase Securities Inc..................................         26,000,000
Goldman, Sachs & Co...................................         26,000,000
ABN AMRO Incorporated.................................          8,000,000
BancAmerica Robertson Stephens........................          8,000,000
NationsBanc Montgomery Securities                      
   LLC................................................          8,000,000
RBC Dominion Securities Inc...........................          8,000,000
Howard, Weil, Labouisse, Friedrichs                    
   Incorporated.......................................            250,000
Petrie Parkman & Co., Inc.............................            250,000
                                                             ------------
   Total..............................................       $200,000,000
                                                             ============
<PAGE>
 
To:  Salomon Brothers Inc
     Credit Suisse First Boston Corporation
     Chase Securities Inc.
     Goldman, Sachs & Co.
     ABN AMRO Incorporated
     BancAmerica Robertson Stephens
     Howard, Well, Labouisse, Friedrichs Incorporated
     NationsBanc Montgomery Securities LLC
     Petrie Parkman & Co., Inc.
     RBC Dominion Securities Inc.

     As Underwriters
        c/o Salomon Brothers Inc
           388 Greenwich Street
              New York, NY 10013


          We accept the offer contained in your letter dated May 13, 1998,
relating to $200 million principal amount of our 7.05% Debentures due May 15,
2018.  We also confirm that, to the best of our knowledge after reasonable
investigation, the representations and warranties of the undersigned in the
Underwriting Agreement being filed with the Securities and Exchange Commission
by us on Form 8-K (the "Underwriting Agreement") are true and correct, no stop
order suspending the effectiveness of the Registration Statement (as defined in
the Underwriting Agreement) or of any part thereof has been issued and no
proceedings for that purpose have been instituted or, to the knowledge of the
undersigned, are contemplated by the Securities and Exchange Commission and,
subsequent to the respective dates of the most recent financial statements in
the Prospectus (as defined in the Underwriting Agreement), there has been no
material adverse change in the financial position or results of operations of
the undersigned and its subsidiaries taken as a whole, except as set forth in or
contemplated by the Prospectus.

                                  Very truly yours,

                                  UNION PACIFIC RESOURCES
                                  GROUP INC.,

                                  by /s/ M. B. SMITH
                                    --------------------------------------------
                                    Name: Morris B. Smith
                                    Title: Vice President and 
                                           Chief Financial Officer

<PAGE>
 
                                                                     EXHIBIT 4.4

                       UNION PACIFIC RESOURCES GROUP INC.
                                  ("COMPANY")


                                DEBT SECURITIES

                                TERMS AGREEMENT



                                                                    May 13, 1998



Union Pacific Resources Group Inc.
801 Cherry Street
Mail Station 3213
Fort Worth, TX 76102

Attention:

Ladies and Gentlemen:

          We offer to purchase, on and subject to the terms and conditions of
the Underwriting Agreement being filed with the Securities and Exchange
Commission on Form 8-K (the "Underwriting Agreement"), the following securities
(the "Securities") on the following terms:

          TITLE:         7.15% Debentures due May 15, 2028 (the "2028
                         Debentures").

          PRINCIPAL AMOUNT:   $425,000,000.
 
          INTEREST: 7.15% per annum, from May 18, 1998, payable semiannually on
May 15 and November, 15 commencing November 15, 1998, to holders of record on
the preceding April 30 or October 31, as the case may be.

          MATURITY:  May 15, 2028.

          OPTIONAL REDEMPTION:  The 2028 Debentures will be redeemable as a
whole or in part, at the option of the Company at any time, at a redemption
price equal to the greater of (i) 100% of the principal amount of the Securities
to be redeemed and (ii) the sum of the present values of the Remaining Scheduled
Payments (as hereinafter defined) thereon, discounted to the redemption date on
a semiannual basis (assuming a 360-day year consisting of twelve 30-day months)
at the Treasury Rate plus 25 basis points, plus accrued interest on the
principal amount being redeemed to the redemption date.
<PAGE>
 
          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Securities to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Securities. "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee (as defined in the
Underwriting Agreement) after consultation with the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average cf the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any successor release) published by the Federal
Reserve Bank of New York and designated "Composite 3:30 p.m. Quotations for U.S.
Government Securities" or (ii) if such release (or any successor release) is not
published or does not contain such prices on such business day, the arithmetic
average of the Reference Treasury Dealer Quotations for such redemption date.
"Reference Treasury Dealer Quotations" means, with respect to each Reference
Treasury Dealer and any redemption date, the arithmetic average, as determined
by the Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Security,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Security, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Securities to he
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Securities or
portions thereof called for redemption.

          SINKING FUND:  None.

          DELAYED DELIVERY CONTRACTS: None.
<PAGE>
 
                                                                               3


          PURCHASE PRICE:  98.539% of principal amount, plus accrued interest,
if any, from May 18, 1998.

          EXPECTED REOFFERING PRICE:  99.414% of principal amount, subject to
change by the undersigned.

          CLOSING:  10:00 A.M. on May 18, 1998, at the offices of Cravath,
Swaine & Moore, Worldwide Plaza, 825 Eighth Avenue, New York, NY 10019, in same
day funds.

          NAME AND ADDRESS OF REPRESENTATIVE:

               Salomon Brothers Inc
               388 Greenwich Street
               New York, NY 10013

          The respective principal amounts of the Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

          The provisions of the Underwriting Agreement are incorporated herein
by reference.

          The Securities will be made available for checking at the offices of
Cravath, Swaine & Moore at least 24 hours prior to the Closing Date.
<PAGE>
 
          Please signify your acceptance of our offer by signing the enclosed
response to us in the space provided and returning it to us by mail or hand
delivery.

                                       Very truly yours,

                                       Salomon Brothers Inc

                                       On behalf of themselves and as
                                       Representative of the several
                                       Underwriters listed in Schedule A hereto

                                           by

                                            SALOMON BROTHERS INC

                                              by
                                                /s/ Angela M. Reiton
                                                -----------------------
                                                Name: Angela M. Reiton
                                                Title: Associate
<PAGE>
 
                                   SCHEDULE A


                                                              PRINCIPAL AMOUNT
                                                                  OF 2028
                                                                 DEBENTURES
                                                              ----------------
UNDERWRITER
- -----------
Salomon Brothers Inc .......................................      $139,750,000
Credit Suisse First Boston                  
   Corporation .............................................       106,250,000
Chase Securities Inc. ......................................        55,250,000
Goldman, Sachs & Co. .......................................        55,250,000
ABN AMRO Incorporated ......................................        17,000,000
BancAmerica Robertson Stephens .............................        17,000,000
NationsBanc Montgomery Securities 
   LLC .....................................................        17,000,000
RBC Dominion Securities Inc. ...............................        17,000,000
Howard, Weil, Labouisse, Friedrichs             
   Incorporated ............................................           250,000
Petrie Parkman & Co., Inc. .................................           250,000
                                                                  ------------
   Total ...................................................      $425,000,000
                                                                  ============
<PAGE>
 
To:  Salomon Brothers Inc
     Credit Suisse First Boston Corporation
     Chase Securities Inc.
     Goldman, Sachs & Co.
     ABN AMRO Incorporated
     BancAmerica Robertson Stephens
     Howard, Weil, Labouisse, Friedrichs Incorporated
     NationsBanc Montgomery Securities LLC
     Petrie Parkman & Co., Inc.
     RBC Dominion Securities Inc.

     As Underwriters
        c/o Salomon Brothers Inc
           388 Greenwich Street
              New York, NY 10013


          We accept the offer contained in your letter dated May 13, 1998,
relating to $425 million principal amount of our 7.15% Debentures due May 15,
2028.  We also confirm that, to the best of our knowledge after reasonable
investigation, the representations and warranties of the undersigned in the
Underwriting Agreement being filed with the Securities and Exchange Commission
by us on Form 8-K (the "Underwriting Agreement") are true and correct, no stop
order suspending the effectiveness of the Registration Statement (as defined in
the Underwriting Agreement) or of any part thereof has been issued and no
proceedings for that purpose have been instituted or, to the knowledge of the
undersigned, are contemplated by the Securities and Exchange Commission and,
subsequent to the respective dates of the most recent financial statements in
the Prospectus (as defined in the Underwriting Agreement), there has been no
material adverse change in the financial position or results of operations of
the undersigned and its subsidiaries taken as a whole, except as set forth in or
contemplated by the Prospectus.

                                       Very truly yours,

                                       UNION PACIFIC RESOURCES
                                       GROUP INC.,

                                       by
                                          /s/ M. B. Smith
                                          -----------------------
                                          Name:  Morris B. Smith
                                          Title: Vice President and 
                                                 Chief Financial Officer

<PAGE>
 
                                                                     EXHIBIT 4.5

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.


THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                       UNION PACIFIC RESOURCES GROUP INC.
                          6.50% NOTE DUE MAY 15, 2005

REGISTERED                                                          $200,000,000

NO. R-1                                                        CUSIP 907834 AD 7

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                   Cede & Co.

or registered assigns, the principal sum of $200,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2005 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2


principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Note to which interest
on the Notes has been paid or duly provided for (unless the date hereof is the
date to which interest on the Notes has been paid or duly provided for, in which
case from the date of this Note), or, if no interest has been paid on the Notes
or duly provided for, from May 18, 1998 until payment of said principal sum has
been made or duly provided for.  Notwithstanding the foregoing, if the date
hereof is after the 30th day or 31st day, respectively, of any April or October
and before the next succeeding May 15 or November 15, this Note shall bear
interest from such May 15 or November 15, as the case may be; provided, however,
                                                              --------  ------- 
that if the Company shall default in the payment of interest due on such May 15
or November 15, then this Note shall bear interest from the next preceding May
15 or November 15 to which interest on the Notes has been paid or duly provided
for, or, if no interest has been paid on the Notes or duly provided for, from
May 18, 1998.  The interest so payable, and punctually paid or duly provided
for, on any May 15 or November 15 will, except as provided in the Indenture
dated as of March 27, 1996 (herein called the "Indenture"), duly executed and
delivered by the Company and Chase Bank of Texas, National Association, as
Trustee (herein called the "Trustee"), be paid to the Person in whose name this
Note (or one or more Predecessor Securities) is registered at the close of
business on the next preceding April 30 or October 31, as the case may be
(herein called the "Regular Record Date"), whether or not a Business Day, and
may, at the option of the Company, be paid by check mailed to the registered
address of such Person.  Any such interest which is payable, but is not so
punctually paid or duly provided for, shall forthwith cease to be payable to the
registered Holder on such Regular Record Date and may be paid either to the
Person in whose name this Note (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 whereof shall be
given to Holders of Notes not less than 10
<PAGE>
 
                                                                               3

days prior to such Special Record Date, or may be paid at any time in any other
lawful manner not inconsistent with the requirements of any securities exchange
on which the Notes may be listed and upon such notice as may be required by such
exchange, if such manner of payment shall be deemed practical by the Trustee,
all as more fully provided in the Indenture.  Notwithstanding the foregoing, in
the case of interest payable at Stated Maturity, such interest shall be paid to
the same Person to whom the principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Notes.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Notes.

          This Note is one of the duly authorized issue of debentures, notes,
bonds or other evidences of indebtedness (hereinafter called the "Securities")
of the Company, of the series hereinafter specified, all issued or to be issued
under and pursuant to the Indenture, to which Indenture and any other indentures
supplemental thereto reference is hereby made for a statement of the respective
rights, limitations of rights, obligations, duties and immunities thereunder of
the Trustee and any agent of the Trustee, any Paying Agent, the Company and the
Holders of the Securities and the terms upon which the Securities are issued and
are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Note is one of the series of Securities of the Company issued pursuant to
the Indenture and designated as the 6.50% Notes due May 15, 2005 (herein called
the "Notes"), limited in aggregate principal amount to $200,000,000.

          The Notes will be redeemable as a whole or in part, at the option of
the Company at any time, at a redemption price equal to the greater of (i) 100%
of the principal amount of the Notes to be redeemed and (ii) the sum of the
present values of the Remaining Scheduled Payments (as hereinafter defined)
thereon, discounted to the redemption date on a semiannual basis (assuming a
360-day year consisting of twelve 30-day months) at the Treasury Rate plus 15
basis points, plus accrued interest on the principal amount being redeemed to
the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Notes to be redeemed that would be utilized, at the
time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Notes.  "Independent Investment Banker" means one of the
Reference Treasury Dealers appointed by the Trustee after consultation with the
Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any
<PAGE>
 
                                                                               5

successor release) published by the Federal Reserve Bank of New York and
designated "Composite 3:30 p.m. Quotations for U.S. Government Securities" or
(ii) if such release (or any successor release) is not published or does not
contain such prices on such business day, the arithmetic average of the
Reference Treasury Dealer Quotations for such redemption date. "Reference
Treasury Dealer Quotations" means, with respect to each Reference Treasury
Dealer and any redemption date, the arithmetic average, as determined by the
Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Note, the
remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Note, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Notes to be redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Notes or portions
thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Notes shall occur and be
continuing, the principal of all of the Notes may be declared due and payable in
the manner, with the effect and subject to the conditions provided in the
Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Note shall be conclusive and binding upon such Holder and
upon all future Holders of this Note and of any Note 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 Note or such
other Notes.

          No reference herein to the Indenture and no provision of this Note or
of the Indenture shall alter or impair the obligation of the Company, which is
absolute and unconditional, to pay the principal of and interest on this Note at
the place, rate and respective times and in the coin or currency herein and in
the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the Company shall be deemed to have paid and discharged the
entire indebtedness represented by, and the obligations
<PAGE>
 
                                                                               7

under, the Securities of any series and to have satisfied all the obligations
(with certain exceptions) under the Indenture relating to the Securities of such
series.

          The Notes are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Notes may be
exchanged for a like aggregate principal amount of Notes of other authorized
denominations at the office or agency of the Company in the Borough of
Manhattan, The City of New York, designated for such purpose and in the manner
and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Note at the
office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Note or Notes of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Note which are
defined in the Indenture shall have the meanings assigned to them in the
Indenture.

          This Note shall be construed in accordance with and governed by the
laws of the State of New York.
<PAGE>
 
                                                                               8

          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Note shall not
be entitled to any benefits under the Indenture, or be valid or obligatory for
any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Note to be duly executed.


Dated: May 18, 1998                       UNION PACIFIC RESOURCES
                                                  GROUP INC.

                                               by  /s/ Peter Schreck
                                                  -------------------
                                                  Title: Assistant Treasurer



[SEAL]

Attest:   /s/ Mark L. Jones
         ------------------------------
         Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                                        CHASE BANK OF TEXAS, NATIONAL 
                                        ASSOCIATION, as Trustee,

                                        by
                                             ________________________
                                             Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian.........
                              (Cust)          (Minor)
                    Under Uniform Gifts to Minors Act

                                        ________________________________________
                                                          (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________


          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :

:                                : 
_________________________________
                                 

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:

________________________________________________________________________________
<PAGE>
 
                                                                              11

________________________________________________________________________ the
within Note and all rights thereunder, hereby irrevocably constituting and
appointing ______________________ ______________________________ attorney to
transfer said Note on the books of the Company, with full power of substitution
in the premises.


Dated:  _______________________


_______________________________
           Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)

<PAGE>
 
                                                                     EXHIBIT 4.6

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.


THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                       UNION PACIFIC RESOURCES GROUP INC.
                          6.75% NOTE DUE MAY 15, 2008

REGISTERED                                                          $200,000,000

NO. R-1                                                        CUSIP 907834 AE 5

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                   Cede & Co.

or registered assigns, the principal sum of $200,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2008 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2

principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Note to which interest
on the Notes has been paid or duly provided for (unless the date hereof is the
date to which interest on the Notes has been paid or duly provided for, in which
case from the date of this Note), or, if no interest has been paid on the Notes
or duly provided for, from May 18, 1998 until payment of said principal sum has
been made or duly provided for.  Notwithstanding the foregoing, if the date
hereof is after the 30th day or 31st day, respectively, of any April or October
and before the next succeeding May 15 or November 15, this Note shall bear
interest from such May 15 or November 15, as the case may be; provided, however,
                                                              --------  ------- 
that if the Company shall default in the payment of interest due on such May 15
or November 15, then this Note shall bear interest from the next preceding May
15 or November 15 to which interest on the Notes has been paid or duly provided
for, or, if no interest has been paid on the Notes or duly provided for, from
May 18, 1998.  The interest so payable, and punctually paid or duly provided
for, on any May 15 or November 15 will, except as provided in the Indenture
dated as of March 27, 1996 (herein called the "Indenture"), duly executed and
delivered by the Company and Chase Bank of Texas, National Association, as
Trustee (herein called the "Trustee"), be paid to the Person in whose name this
Note (or one or more Predecessor Securities) is registered at the close of
business on the next preceding April 30 or October 31, as the case may be
(herein called the "Regular Record Date"), whether or not a Business Day, and
may, at the option of the Company, be paid by check mailed to the registered
address of such Person.  Any such interest which is payable, but is not so
punctually paid or duly provided for, shall forthwith cease to be payable to the
registered Holder on such Regular Record Date and may be paid either to the
Person in whose name this Note (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 whereof shall be
given to Holders of Notes not less than 10
<PAGE>
 
                                                                               3

days prior to such Special Record Date, or may be paid at any time in any other
lawful manner not inconsistent with the requirements of any securities exchange
on which the Notes may be listed and upon such notice as may be required by such
exchange, if such manner of payment shall be deemed practical by the Trustee,
all as more fully provided in the Indenture.  Notwithstanding the foregoing, in
the case of interest payable at Stated Maturity, such interest shall be paid to
the same Person to whom the principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Notes.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Notes.

          This Note is one of the duly authorized issue of debentures, notes,
bonds or other evidences of indebtedness (hereinafter called the "Securities")
of the Company, of the series hereinafter specified, all issued or to be issued
under and pursuant to the Indenture, to which Indenture and any other indentures
supplemental thereto reference is hereby made for a statement of the respective
rights, limitations of rights, obligations, duties and immunities thereunder of
the Trustee and any agent of the Trustee, any Paying Agent, the Company and the
Holders of the Securities and the terms upon which the Securities are issued and
are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Note is one of the series of Securities of the Company issued pursuant to
the Indenture and designated as the 6.75% Notes due May 15, 2008 (herein called
the "Notes"), limited in aggregate principal amount to $200,000,000.

          The Notes will be redeemable as a whole or in part, at the option of
the Company at any time, at a redemption price equal to the greater of (i) 100%
of the principal amount of the Notes to be redeemed and (ii) the sum of the
present values of the Remaining Scheduled Payments (as hereinafter defined)
thereon, discounted to the redemption date on a semiannual basis (assuming a
360-day year consisting of twelve 30-day months) at the Treasury Rate plus 15
basis points, plus accrued interest on the principal amount being redeemed to
the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Notes to be redeemed that would be utilized, at the
time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Notes.  "Independent Investment Banker" means one of the
Reference Treasury Dealers appointed by the Trustee after consultation with the
Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption date, as set forth in the
daily statistical release (or any
<PAGE>
 
                                                                               5

successor release) published by the Federal Reserve Bank of New York and
designated "Composite 3:30 p.m. Quotations for U.S. Government Securities" or
(ii) if such release (or any successor release) is not published or does not
contain such prices on such business day, the arithmetic average of the
Reference Treasury Dealer Quotations for such redemption date. "Reference
Treasury Dealer Quotations" means, with respect to each Reference Treasury
Dealer and any redemption date, the arithmetic average, as determined by the
Trustee, of the bid and asked prices for the Comparable Treasury Issue
(expressed in each case as a percentage of its principal amount) quoted in
writing to the Trustee by such Reference Treasury Dealer by 5:00 p.m. on the
third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Note, the
remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Note, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Notes to be redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Notes or portions
thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Notes shall occur and be
continuing, the principal of all of the Notes may be declared due and payable in
the manner, with the effect and subject to the conditions provided in the
Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Note shall be conclusive and binding upon such Holder and
upon all future Holders of this Note and of any Note 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 Note or such
other Notes.

          No reference herein to the Indenture and no provision of this Note or
of the Indenture shall alter or impair the obligation of the Company, which is
absolute and unconditional, to pay the principal of and interest on this Note at
the place, rate and respective times and in the coin or currency herein and in
the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the Company shall be deemed to have paid and discharged the
entire indebtedness represented by, and the obligations
<PAGE>
 
                                                                               7

under, the Securities of any series and to have satisfied all the obligations
(with certain exceptions) under the Indenture relating to the Securities of such
series.

          The Notes are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Notes may be
exchanged for a like aggregate principal amount of Notes of other authorized
denominations at the office or agency of the Company in the Borough of
Manhattan, The City of New York, designated for such purpose and in the manner
and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Note at the
office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Note or Notes of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Note which are
defined in the Indenture shall have the meanings assigned to them in the
Indenture.

          This Note shall be construed in accordance with and governed by the
laws of the State of New York.
<PAGE>
 
                                                                               8

          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Note shall not
be entitled to any benefits under the Indenture, or be valid or obligatory for
any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Note to be duly executed.


Dated: May 18, 1998                     UNION PACIFIC RESOURCES
                                                GROUP INC.

                                             by  /s/ Peter Schreck
                                                -------------------
                                                Title: Assistant Treasurer



[SEAL]

Attest:  /s/ Mark L. Jones
        ------------------------------
        Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                         CHASE BANK OF TEXAS, NATIONAL  ASSOCIATION, as Trustee,

                         by
                              ________________________
                              Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian.........
                              (Cust)          (Minor)
                    Under Uniform Gifts to Minors Act

                                        ________________________________________
                                                           (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________


          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :
:                                :   
_________________________________
                                 

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:

________________________________________________________________________________
<PAGE>
 
                                                                              11

_________________________________________________________________________ the
within Note and all rights thereunder, hereby irrevocably constituting and
appointing ______________________ ______________________________ attorney to
transfer said Note on the books of the Company, with full power of substitution
in the premises.


Dated:  _______________________


_______________________________
          Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)

<PAGE>
 
                                                                     EXHIBIT 4.7

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.


THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                       UNION PACIFIC RESOURCES GROUP INC.
                        7.05% DEBENTURE DUE MAY 15, 2018

REGISTERED                                                  $200,000,000

NO. R-1                                                CUSIP 907834 AF 2

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                   Cede & Co.

or registered assigns, the principal sum of $200,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2018 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2

principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Debenture to which
interest on the Debentures has been paid or duly provided for (unless the date
hereof is the date to which interest on the Debentures has been paid or duly
provided for, in which case from the date of this Debenture), or, if no interest
has been paid on the Debentures or duly provided for, from May 18, 1998 until
payment of said principal sum has been made or duly provided for.
Notwithstanding the foregoing, if the date hereof is after the 30th day or 31st
day, respectively, of any April or October and before the next succeeding May 15
or November 15, this Debenture shall bear interest from such May 15 or November
15, as the case may be; provided, however, that if the Company shall default in
                        --------  -------                                      
the payment of interest due on such May 15 or November 15, then this Debenture
shall bear interest from the next preceding May 15 or November 15 to which
interest on the Debentures has been paid or duly provided for, or, if no
interest has been paid on the Debentures or duly provided for, from May 18,
1998. The interest so payable, and punctually paid or duly provided for, on any
May 15 or November 15 will, except as provided in the Indenture dated as of
March 27, 1996 (herein called the "Indenture"), duly executed and delivered by
the Company and Chase Bank of Texas, National Association, as Trustee (herein
called the "Trustee"), be paid to the Person in whose name this Debenture (or
one or more Predecessor Securities) is registered at the close of business on
the next preceding April 30 or October 31, as the case may be (herein called the
"Regular Record Date"), whether or not a Business Day, and may, at the option of
the Company, be paid by check mailed to the registered address of such Person.
Any such interest which is payable, but is not so punctually paid or duly
provided for, shall forthwith cease to be payable to the registered Holder on
such Regular Record Date and may be paid either to the Person in whose name this
Debenture (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 whereof shall be given to Holders of
<PAGE>
 
                                                                               3

Debentures not less than 10 days prior to such Special Record Date, or may be
paid at any time in any other lawful manner not inconsistent with the
requirements of any securities exchange on which the Debentures may be listed
and upon such notice as may be required by such exchange, if such manner of
payment shall be deemed practical by the Trustee, all as more fully provided in
the Indenture. Notwithstanding the foregoing, in the case of interest payable at
Stated Maturity, such interest shall be paid to the same Person to whom the
principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Debentures.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Debentures.

          This Debenture is one of the duly authorized issue of debentures,
notes, bonds or other evidences of indebtedness (hereinafter called the
"Securities") of the Company, of the series hereinafter specified, all issued or
to be issued under and pursuant to the Indenture, to which Indenture and any
other indentures supplemental thereto reference is hereby made for a statement
of the respective rights, limitations of rights, obligations, duties and
immunities thereunder of the Trustee and any agent of the Trustee, any Paying
Agent, the Company and the Holders of the Securities and the terms upon which
the Securities are issued and are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Debenture is one of the series of Securities of the Company issued pursuant
to the Indenture and designated as the 7.05% Debentures due May 15, 2018 (herein
called the "Debentures"), limited in aggregate principal amount to $200,000,000.

          The Debentures will be redeemable as a whole or in part, at the option
of the Company at any time, at a redemption price equal to the greater of (i)
100% of the principal amount of the Debentures to be redeemed and (ii) the sum
of the present values of the Remaining Scheduled Payments (as hereinafter
defined) thereon, discounted to the redemption date on a semiannual basis
(assuming a 360-day year consisting of twelve 30-day months) at the Treasury
Rate plus 20 basis points, plus accrued interest on the principal amount being
redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Debentures to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Debentures.  "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee after consultation with
the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption
<PAGE>
 
                                                                               5

date, as set forth in the daily statistical release (or any successor release)
published by the Federal Reserve Bank of New York and designated "Composite 3:30
p.m. Quotations for U.S. Government Securities" or (ii) if such release (or any
successor release) is not published or does not contain such prices on such
business day, the arithmetic average of the Reference Treasury Dealer Quotations
for such redemption date. "Reference Treasury Dealer Quotations" means, with
respect to each Reference Treasury Dealer and any redemption date, the
arithmetic average, as determined by the Trustee, of the bid and asked prices
for the Comparable Treasury Issue (expressed in each case as a percentage of its
principal amount) quoted in writing to the Trustee by such Reference Treasury
Dealer by 5:00 p.m. on the third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Debenture,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Debenture, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Debentures to be
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Debentures or
portions thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Debentures shall occur and
be continuing, the principal of all of the Debentures may be declared due and
payable in the manner, with the effect and subject to the conditions provided in
the Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Debenture shall be conclusive and binding upon such Holder
and upon all future Holders of this Debenture and of any Debenture 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 Debenture or
such other Debentures.

          No reference herein to the Indenture and no provision of this
Debenture or of the Indenture shall alter or impair the obligation of the
Company, which is absolute and unconditional, to pay the principal of and
interest on this Debenture at the place, rate and respective times and in the
coin or currency herein and in the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the
<PAGE>
 
                                                                               7

Company shall be deemed to have paid and discharged the entire indebtedness
represented by, and the obligations under, the Securities of any series and to
have satisfied all the obligations (with certain exceptions) under the Indenture
relating to the Securities of such series.

          The Debentures are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Debentures may be
exchanged for a like aggregate principal amount of Debentures of other
authorized denominations at the office or agency of the Company in the Borough
of Manhattan, The City of New York, designated for such purpose and in the
manner and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Debenture at
the office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Debenture or Debentures of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Debenture
which are defined in the Indenture shall have the meanings assigned to them in
the Indenture.

          This Debenture shall be construed in accordance with and governed by
the laws of the State of New York.
<PAGE>
 
                                                                               8

          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Debenture
shall not be entitled to any benefits under the Indenture, or be valid or
obligatory for any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Debenture to be duly executed.


Dated: May 18, 1998                UNION PACIFIC RESOURCES
                                           GROUP INC.

                                        by /s/ Peter Schreck
                                           -------------------
                                           Title: Assistant Treasurer



[SEAL]

Attest: /s/ Mark L. Jones
        ------------------------------
        Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                         CHASE BANK OF TEXAS, NATIONAL ASSOCIATION, as Trustee,

                         by
                              ________________________
                              Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian.........
                              (Cust)          (Minor)
                    Under Uniform Gifts to Minors Act

                                        ________________________________________
                                                          (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________


          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :
:                                :  
_________________________________

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:
<PAGE>
 
                                                                              11

________________________________________________________________________________

__________________________________________________ the within Debenture and all
rights thereunder, hereby irrevocably constituting and appointing
______________________ ______________________________ attorney to transfer said
Debenture on the books of the Company, with full power of substitution in the
premises.


Dated:  _______________________


_______________________________
          Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)

<PAGE>
 
                                                                     EXHIBIT 4.8

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.

THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                      UNION PACIFIC RESOURCES GROUP INC.
                       7.15% DEBENTURE DUE MAY 15, 2028

REGISTERED                                                          $200,000,000

NO. R-1                                                        CUSIP 907834 AG 0

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                  Cede & Co.

or registered assigns, the principal sum of $200,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2028 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2
principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Debenture to which
interest on the Debentures has been paid or duly provided for (unless the date
hereof is the date to which interest on the Debentures has been paid or duly
provided for, in which case from the date of this Debenture), or, if no interest
has been paid on the Debentures or duly provided for, from May 18, 1998 until
payment of said principal sum has been made or duly provided for.
Notwithstanding the foregoing, if the date hereof is after the 30th day or 31st
day, respectively, of any April or October and before the next succeeding May 15
or November 15, this Debenture shall bear interest from such May 15 or November
15, as the case may be; provided, however, that if the Company shall default in
                        --------  -------                                      
the payment of interest due on such May 15 or November 15, then this Debenture
shall bear interest from the next preceding May 15 or November 15 to which
interest on the Debentures has been paid or duly provided for, or, if no
interest has been paid on the Debentures or duly provided for, from May 18,
1998. The interest so payable, and punctually paid or duly provided for, on any
May 15 or November 15 will, except as provided in the Indenture dated as of
March 27, 1996 (herein called the "Indenture"), duly executed and delivered by
the Company and Chase Bank of Texas, National Association, as Trustee (herein
called the "Trustee"), be paid to the Person in whose name this Debenture (or
one or more Predecessor Securities) is registered at the close of business on
the next preceding April 30 or October 31, as the case may be (herein called the
"Regular Record Date"), whether or not a Business Day, and may, at the option of
the Company, be paid by check mailed to the registered address of such Person.
Any such interest which is payable, but is not so punctually paid or duly
provided for, shall forthwith cease to be payable to the registered Holder on
such Regular Record Date and may be paid either to the Person in whose name this
Debenture (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 whereof shall be given to Holders of
<PAGE>
 
                                                                               3

Debentures not less than 10 days prior to such Special Record Date, or may be
paid at any time in any other lawful manner not inconsistent with the
requirements of any securities exchange on which the Debentures may be listed
and upon such notice as may be required by such exchange, if such manner of
payment shall be deemed practical by the Trustee, all as more fully provided in
the Indenture. Notwithstanding the foregoing, in the case of interest payable at
Stated Maturity, such interest shall be paid to the same Person to whom the
principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Debentures.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Debentures.

          This Debenture is one of the duly authorized issue of debentures,
notes, bonds or other evidences of indebtedness (hereinafter called the
"Securities") of the Company, of the series hereinafter specified, all issued or
to be issued under and pursuant to the Indenture, to which Indenture and any
other indentures supplemental thereto reference is hereby made for a statement
of the respective rights, limitations of rights, obligations, duties and
immunities thereunder of the Trustee and any agent of the Trustee, any Paying
Agent, the Company and the Holders of the Securities and the terms upon which
the Securities are issued and are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Debenture is one of the series of Securities of the Company issued pursuant
to the Indenture and designated as the 7.15% Debentures due May 15, 2028 (herein
called the "Debentures"), limited in aggregate principal amount to $425,000,000.

          The Debentures will be redeemable as a whole or in part, at the option
of the Company at any time, at a redemption price equal to the greater of (i)
100% of the principal amount of the Debentures to be redeemed and (ii) the sum
of the present values of the Remaining Scheduled Payments (as hereinafter
defined) thereon, discounted to the redemption date on a semiannual basis
(assuming a 360-day year consisting of twelve 30-day months) at the Treasury
Rate plus 25 basis points, plus accrued interest on the principal amount being
redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Debentures to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Debentures.  "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee after consultation with
the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption
<PAGE>
 
                                                                               5

date, as set forth in the daily statistical release (or any successor release)
published by the Federal Reserve Bank of New York and designated "Composite 3:30
p.m. Quotations for U.S. Government Securities" or (ii) if such release (or any
successor release) is not published or does not contain such prices on such
business day, the arithmetic average of the Reference Treasury Dealer Quotations
for such redemption date. "Reference Treasury Dealer Quotations" means, with
respect to each Reference Treasury Dealer and any redemption date, the
arithmetic average, as determined by the Trustee, of the bid and asked prices
for the Comparable Treasury Issue (expressed in each case as a percentage of its
principal amount) quoted in writing to the Trustee by such Reference Treasury
Dealer by 5:00 p.m. on the third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Debenture,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Debenture, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Debentures to be
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Debentures or
portions thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Debentures shall occur and
be continuing, the principal of all of the Debentures may be declared due and
payable in the manner, with the effect and subject to the conditions provided in
the Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Debenture shall be conclusive and binding upon such Holder
and upon all future Holders of this Debenture and of any Debenture 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 Debenture or
such other Debentures.

          No reference herein to the Indenture and no provision of this
Debenture or of the Indenture shall alter or impair the obligation of the
Company, which is absolute and unconditional, to pay the principal of and
interest on this Debenture at the place, rate and respective times and in the
coin or currency herein and in the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the
<PAGE>
 
                                                                               7

Company shall be deemed to have paid and discharged the entire indebtedness
represented by, and the obligations under, the Securities of any series and to
have satisfied all the obligations (with certain exceptions) under the Indenture
relating to the Securities of such series.

          The Debentures are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Debentures may be
exchanged for a like aggregate principal amount of Debentures of other
authorized denominations at the office or agency of the Company in the Borough
of Manhattan, The City of New York, designated for such purpose and in the
manner and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Debenture at
the office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Debenture or Debentures of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Debenture
which are defined in the Indenture shall have the meanings assigned to them in
the Indenture.

          This Debenture shall be construed in accordance with and governed by
the laws of the State of New York.
<PAGE>
 
                                                                               8
          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Debenture
shall not be entitled to any benefits under the Indenture, or be valid or
obligatory for any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Debenture to be duly executed.


Dated: May 18, 1998              UNION PACIFIC RESOURCES GROUP INC.

                                     by  /s/ Peter Schreck
                                        ---------------------------------------
                                        Title: Assistant Treasurer



[SEAL]

Attest:
         /s/ Mark L. Jones
        ---------------------------------------
        Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                         CHASE BANK OF TEXAS, NATIONAL ASSOCIATION, as Trustee,

                         by
                              _______________________
                              Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian....................
                              (Cust)            (Minor)
                             Under Uniform Gifts to Minors Act

                             ___________________________________________________
                                                (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________

          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :

:                                
_________________________________:

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:

________________________________________________________________________________
<PAGE>
 
                                                                              11

__________________________________________________ the within Debenture and all
rights thereunder, hereby irrevocably constituting and appointing
______________________ _________________________________________________________
attorney to transfer said Debenture on the books of the Company, with full power
of substitution in the premises.


Dated:  _______________________


_______________________________
        Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)
<PAGE>
 

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.

THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                      UNION PACIFIC RESOURCES GROUP INC.
                       7.15% DEBENTURE DUE MAY 15, 2028

REGISTERED                                                          $200,000,000

NO. R-1                                                        CUSIP 907834 AG 0

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                  Cede & Co.

or registered assigns, the principal sum of $200,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2028 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2

principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Debenture to which
interest on the Debentures has been paid or duly provided for (unless the date
hereof is the date to which interest on the Debentures has been paid or duly
provided for, in which case from the date of this Debenture), or, if no interest
has been paid on the Debentures or duly provided for, from May 18, 1998 until
payment of said principal sum has been made or duly provided for.
Notwithstanding the foregoing, if the date hereof is after the 30th day or 31st
day, respectively, of any April or October and before the next succeeding May 15
or November 15, this Debenture shall bear interest from such May 15 or November
15, as the case may be; provided, however, that if the Company shall default in
                        --------  -------                                      
the payment of interest due on such May 15 or November 15, then this Debenture
shall bear interest from the next preceding May 15 or November 15 to which
interest on the Debentures has been paid or duly provided for, or, if no
interest has been paid on the Debentures or duly provided for, from May 18,
1998. The interest so payable, and punctually paid or duly provided for, on any
May 15 or November 15 will, except as provided in the Indenture dated as of
March 27, 1996 (herein called the "Indenture"), duly executed and delivered by
the Company and Chase Bank of Texas, National Association, as Trustee (herein
called the "Trustee"), be paid to the Person in whose name this Debenture (or
one or more Predecessor Securities) is registered at the close of business on
the next preceding April 30 or October 31, as the case may be (herein called the
"Regular Record Date"), whether or not a Business Day, and may, at the option of
the Company, be paid by check mailed to the registered address of such Person.
Any such interest which is payable, but is not so punctually paid or duly
provided for, shall forthwith cease to be payable to the registered Holder on
such Regular Record Date and may be paid either to the Person in whose name this
Debenture (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 whereof shall be given to Holders of
<PAGE>
 
                                                                               3

Debentures not less than 10 days prior to such Special Record Date, or may be
paid at any time in any other lawful manner not inconsistent with the
requirements of any securities exchange on which the Debentures may be listed
and upon such notice as may be required by such exchange, if such manner of
payment shall be deemed practical by the Trustee, all as more fully provided in
the Indenture. Notwithstanding the foregoing, in the case of interest payable at
Stated Maturity, such interest shall be paid to the same Person to whom the
principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Debentures.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Debentures.

          This Debenture is one of the duly authorized issue of debentures,
notes, bonds or other evidences of indebtedness (hereinafter called the
"Securities") of the Company, of the series hereinafter specified, all issued or
to be issued under and pursuant to the Indenture, to which Indenture and any
other indentures supplemental thereto reference is hereby made for a statement
of the respective rights, limitations of rights, obligations, duties and
immunities thereunder of the Trustee and any agent of the Trustee, any Paying
Agent, the Company and the Holders of the Securities and the terms upon which
the Securities are issued and are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Debenture is one of the series of Securities of the Company issued pursuant
to the Indenture and designated as the 7.15% Debentures due May 15, 2028 (herein
called the "Debentures"), limited in aggregate principal amount to $425,000,000.

          The Debentures will be redeemable as a whole or in part, at the option
of the Company at any time, at a redemption price equal to the greater of (i)
100% of the principal amount of the Debentures to be redeemed and (ii) the sum
of the present values of the Remaining Scheduled Payments (as hereinafter
defined) thereon, discounted to the redemption date on a semiannual basis
(assuming a 360-day year consisting of twelve 30-day months) at the Treasury
Rate plus 25 basis points, plus accrued interest on the principal amount being
redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Debentures to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Debentures.  "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee after consultation with
the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption
<PAGE>
 
                                                                               5

date, as set forth in the daily statistical release (or any successor release)
published by the Federal Reserve Bank of New York and designated "Composite 3:30
p.m. Quotations for U.S. Government Securities" or (ii) if such release (or any
successor release) is not published or does not contain such prices on such
business day, the arithmetic average of the Reference Treasury Dealer Quotations
for such redemption date. "Reference Treasury Dealer Quotations" means, with
respect to each Reference Treasury Dealer and any redemption date, the
arithmetic average, as determined by the Trustee, of the bid and asked prices
for the Comparable Treasury Issue (expressed in each case as a percentage of its
principal amount) quoted in writing to the Trustee by such Reference Treasury
Dealer by 5:00 p.m. on the third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Debenture,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Debenture, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Debentures to be
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Debentures or
portions thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Debentures shall occur and
be continuing, the principal of all of the Debentures may be declared due and
payable in the manner, with the effect and subject to the conditions provided in
the Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Debenture shall be conclusive and binding upon such Holder
and upon all future Holders of this Debenture and of any Debenture 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 Debenture or
such other Debentures.

          No reference herein to the Indenture and no provision of this
Debenture or of the Indenture shall alter or impair the obligation of the
Company, which is absolute and unconditional, to pay the principal of and
interest on this Debenture at the place, rate and respective times and in the
coin or currency herein and in the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the
<PAGE>
 
                                                                               7

Company shall be deemed to have paid and discharged the entire indebtedness
represented by, and the obligations under, the Securities of any series and to
have satisfied all the obligations (with certain exceptions) under the Indenture
relating to the Securities of such series.

          The Debentures are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Debentures may be
exchanged for a like aggregate principal amount of Debentures of other
authorized denominations at the office or agency of the Company in the Borough
of Manhattan, The City of New York, designated for such purpose and in the
manner and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Debenture at
the office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Debenture or Debentures of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Debenture
which are defined in the Indenture shall have the meanings assigned to them in
the Indenture.

          This Debenture shall be construed in accordance with and governed by
the laws of the State of New York.
<PAGE>
 
                                                                               8

          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Debenture
shall not be entitled to any benefits under the Indenture, or be valid or
obligatory for any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Debenture to be duly executed.


Dated: May 18, 1998              UNION PACIFIC RESOURCES GROUP INC.

                                     by  /s/ Peter Schreck
                                        ---------------------------------------
                                        Title: Assistant Treasurer



[SEAL]

Attest:
         /s/ Mark L. Jones
        ---------------------------------------
        Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                         CHASE BANK OF TEXAS, NATIONAL
                         ASSOCIATION, as Trustee,

                         by
                              _______________________
                              Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian....................
                              (Cust)            (Minor)
                             Under Uniform Gifts to Minors Act

                             ___________________________________________________
                                                (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________

          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :

:                                
_________________________________:

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:

________________________________________________________________________________
<PAGE>
 
                                                                              11

__________________________________________________ the within Debenture and all
rights thereunder, hereby irrevocably constituting and appointing
______________________ _________________________________________________________
attorney to transfer said Debenture on the books of the Company, with full power
of substitution in the premises.


Dated:  _______________________


_______________________________
        Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)
<PAGE>
 

          Unless this certificate is presented by an authorized representative
of The Depository Trust Company, a New York corporation ("DTC"), to the issuer
or its agent for registration of transfer, exchange or payment, and any
certificate issued is registered in the name of Cede & Co. or such other name as
is requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL since the registered owner hereof,
Cede & Co., has an interest herein.


THIS SECURITY IS A GLOBAL SECURITY AS REFERRED TO IN THE INDENTURE HEREINAFTER
REFERENCED.  UNLESS AND UNTIL IT IS EXCHANGED IN WHOLE OR IN PART FOR THE
INDIVIDUAL SECURITIES REPRESENTED HEREBY, THIS GLOBAL SECURITY MAY NOT BE
TRANSFERRED EXCEPT AS A WHOLE BY THE DEPOSITARY TO A NOMINEE OF THE DEPOSITARY
OR BY A NOMINEE OF THE DEPOSITARY TO THE DEPOSITARY OR ANOTHER NOMINEE OF THE
DEPOSITARY OR BY THE DEPOSITARY OR ANY SUCH NOMINEE TO A SUCCESSOR DEPOSITARY OR
A NOMINEE OF SUCH SUCCESSOR DEPOSITARY.


                       UNION PACIFIC RESOURCES GROUP INC.
                        7.15% DEBENTURE DUE MAY 15, 2028

REGISTERED                                                  $25,000,000

NO. R-1                                               CUSIP 907834 AG 0

          UNION PACIFIC RESOURCES GROUP INC., a corporation duly organized and
existing under the laws of the State of Utah (herein called the "Company", which
term includes any successor under the Indenture hereinafter referred to), for
value received, hereby promises to pay to

                                   Cede & Co.

or registered assigns, the principal sum of $25,000,000 at the office or agency
of the Company in the Borough of Manhattan, The City of New York, on May 15,
2028 in such coin or currency of the United States of America as at the time of
payment shall be legal tender for the payment of public and private debts, and
to pay interest on said
<PAGE>
 
                                                                               2

principal sum semiannually on May 15 and November 15 of each year, commencing
November 15, 1998, at said office or agency, in like coin or currency, at the
rate per annum specified in the title hereof, from the May 15 or the November
15, as the case may be, next preceding the date of this Debenture to which
interest on the Debentures has been paid or duly provided for (unless the date
hereof is the date to which interest on the Debentures has been paid or duly
provided for, in which case from the date of this Debenture), or, if no interest
has been paid on the Debentures or duly provided for, from May 18, 1998 until
payment of said principal sum has been made or duly provided for.
Notwithstanding the foregoing, if the date hereof is after the 30th day or 31st
day, respectively, of any April or October and before the next succeeding May 15
or November 15, this Debenture shall bear interest from such May 15 or November
15, as the case may be; provided, however, that if the Company shall default in
                        --------  -------                                      
the payment of interest due on such May 15 or November 15, then this Debenture
shall bear interest from the next preceding May 15 or November 15 to which
interest on the Debentures has been paid or duly provided for, or, if no
interest has been paid on the Debentures or duly provided for, from May 18,
1998. The interest so payable, and punctually paid or duly provided for, on any
May 15 or November 15 will, except as provided in the Indenture dated as of
March 27, 1996 (herein called the "Indenture"), duly executed and delivered by
the Company and Chase Bank of Texas, National Association, as Trustee (herein
called the "Trustee"), be paid to the Person in whose name this Debenture (or
one or more Predecessor Securities) is registered at the close of business on
the next preceding April 30 or October 31, as the case may be (herein called the
"Regular Record Date"), whether or not a Business Day, and may, at the option of
the Company, be paid by check mailed to the registered address of such Person.
Any such interest which is payable, but is not so punctually paid or duly
provided for, shall forthwith cease to be payable to the registered Holder on
such Regular Record Date and may be paid either to the Person in whose name this
Debenture (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 whereof shall be given to Holders of
<PAGE>
 
                                                                               3

Debentures not less than 10 days prior to such Special Record Date, or may be
paid at any time in any other lawful manner not inconsistent with the
requirements of any securities exchange on which the Debentures may be listed
and upon such notice as may be required by such exchange, if such manner of
payment shall be deemed practical by the Trustee, all as more fully provided in
the Indenture. Notwithstanding the foregoing, in the case of interest payable at
Stated Maturity, such interest shall be paid to the same Person to whom the
principal hereof is payable.

          Chase Bank of Texas, National Association will be the Paying Agent and
the Security Registrar with respect to the Debentures.  The Company reserves the
right at any time to vary or terminate the appointment of any Paying Agent or
Security Registrar, to appoint additional or other Paying Agents and other
Security Registrars, which may include the Company, and to approve any change in
the office through which any Paying Agent or Security Registrar acts; provided
                                                                      --------
that there will at all times be a Paying Agent in The City of New York and there
will be no more than one Security Registrar for the Debentures.

          This Debenture is one of the duly authorized issue of debentures,
notes, bonds or other evidences of indebtedness (hereinafter called the
"Securities") of the Company, of the series hereinafter specified, all issued or
to be issued under and pursuant to the Indenture, to which Indenture and any
other indentures supplemental thereto reference is hereby made for a statement
of the respective rights, limitations of rights, obligations, duties and
immunities thereunder of the Trustee and any agent of the Trustee, any Paying
Agent, the Company and the Holders of the Securities and the terms upon which
the Securities are issued and are to be authenticated and delivered.

          The Securities may be issued in one or more series, which different
series may be issued in various aggregate principal amounts, may mature at
different times, may bear interest (if any) at different rates, may be subject
to different redemption provisions (if any), may be subject to different
sinking, purchase or analogous funds (if any), may be subject to different
covenants and Events
<PAGE>
 
                                                                               4

of Default and may otherwise vary as provided or permitted in the Indenture.
This Debenture is one of the series of Securities of the Company issued pursuant
to the Indenture and designated as the 7.15% Debentures due May 15, 2028 (herein
called the "Debentures"), limited in aggregate principal amount to $425,000,000.

          The Debentures will be redeemable as a whole or in part, at the option
of the Company at any time, at a redemption price equal to the greater of (i)
100% of the principal amount of the Debentures to be redeemed and (ii) the sum
of the present values of the Remaining Scheduled Payments (as hereinafter
defined) thereon, discounted to the redemption date on a semiannual basis
(assuming a 360-day year consisting of twelve 30-day months) at the Treasury
Rate plus 25 basis points, plus accrued interest on the principal amount being
redeemed to the redemption date.

          "Treasury Rate" means, with respect to any redemption date, the rate
per annum equal to the semiannual equivalent yield to maturity of the Comparable
Treasury Issue, assuming a price for the Comparable Treasury Issue (expressed as
a percentage of its principal amount) equal to the Comparable Treasury Price for
such redemption date.

          "Comparable Treasury Issue" means the United States Treasury security
selected by an Independent Investment Banker as having a maturity comparable to
the remaining term of the Debentures to be redeemed that would be utilized, at
the time of selection and in accordance with customary financial practice, in
pricing new issues of corporate debt securities of comparable maturity to the
remaining term of such Debentures.  "Independent Investment Banker" means one of
the Reference Treasury Dealers appointed by the Trustee after consultation with
the Company.

          "Comparable Treasury Price" means, with respect to any redemption
date, (i) the arithmetic average of the bid and asked prices for the Comparable
Treasury Issue (expressed in each case as a percentage of its principal amount)
on the third business day preceding such redemption
<PAGE>
 
                                                                               5

date, as set forth in the daily statistical release (or any successor release)
published by the Federal Reserve Bank of New York and designated "Composite 3:30
p.m. Quotations for U.S. Government Securities" or (ii) if such release (or any
successor release) is not published or does not contain such prices on such
business day, the arithmetic average of the Reference Treasury Dealer Quotations
for such redemption date. "Reference Treasury Dealer Quotations" means, with
respect to each Reference Treasury Dealer and any redemption date, the
arithmetic average, as determined by the Trustee, of the bid and asked prices
for the Comparable Treasury Issue (expressed in each case as a percentage of its
principal amount) quoted in writing to the Trustee by such Reference Treasury
Dealer by 5:00 p.m. on the third business day preceding such redemption date.

          "Reference Treasury Dealer" means each of Salomon Brothers Inc, Credit
Suisse First Boston Corporation, Chase Securities Inc. and Goldman, Sachs & Co.
and their respective successors; provided, however, that if any of the foregoing
shall cease to be a primary U.S. Government securities dealer in New York City
(a "Primary Treasury Dealer"), the Company shall substitute therefor another
Primary Treasury Dealer.

          "Remaining Scheduled Payments" means, with respect to any Debenture,
the remaining scheduled payments of the principal thereof to be redeemed and
interest thereon that would be due after the related redemption date but for
such redemption; provided, however, that, if such redemption date is not an
interest payment date with respect to such Debenture, the amount of the next
succeeding scheduled interest payment thereon will be reduced by the amount of
interest accrued thereon to such redemption date.

          Notice of any redemption will be mailed at least 30 days but not more
than 60 days before the redemption date to each holder of Debentures to be
redeemed.

          Unless the Company defaults in payment of the redemption price, on and
after the redemption date interest will cease to accrue on the Debentures or
portions thereof called for redemption.
<PAGE>
 
                                                                               6

          If an Event of Default with respect to the Debentures shall occur and
be continuing, the principal of all of the Debentures may be declared due and
payable in the manner, with the effect and subject to the conditions provided in
the Indenture.

          The Indenture permits, with certain exceptions as therein provided,
the Company and the Trustee to enter into supplemental indentures to the
Indenture for the purpose of adding any provisions to or changing in any manner
or eliminating any of the provisions of the Indenture or of modifying in any
manner the rights of the Holders of the Securities of each series under the
Indenture with the consent of the Holders of not less than a majority in
principal amount of the Securities at the time Outstanding of each series to be
affected thereby on behalf of the Holders of all Securities of such series.  The
Indenture also permits the Holders of a majority in principal amount of the
Securities at the time Outstanding of each series, 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 and their consequences
with respect to such series under the Indenture.  Any such consent or waiver by
the Holder of this Debenture shall be conclusive and binding upon such Holder
and upon all future Holders of this Debenture and of any Debenture 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 Debenture or
such other Debentures.

          No reference herein to the Indenture and no provision of this
Debenture or of the Indenture shall alter or impair the obligation of the
Company, which is absolute and unconditional, to pay the principal of and
interest on this Debenture at the place, rate and respective times and in the
coin or currency herein and in the Indenture prescribed.

          As provided in the Indenture and subject to the satisfaction of
certain conditions therein set forth, including the deposit of certain trust
funds in trust, the
<PAGE>
 
                                                                               7

Company shall be deemed to have paid and discharged the entire indebtedness
represented by, and the obligations under, the Securities of any series and to
have satisfied all the obligations (with certain exceptions) under the Indenture
relating to the Securities of such series.

          The Debentures are issuable in registered form without coupons in
denominations of $1,000 and any integral multiple of $1,000.  Debentures may be
exchanged for a like aggregate principal amount of Debentures of other
authorized denominations at the office or agency of the Company in the Borough
of Manhattan, The City of New York, designated for such purpose and in the
manner and subject to the limitations provided in the Indenture.

          Upon due presentment for registration of transfer of this Debenture at
the office or agency of the Company in the Borough of Manhattan, The City of New
York designated for such purpose, a new Debenture or Debentures of authorized
denominations for a like aggregate principal amount will be issued to the
transferee in exchange therefor, subject to the limitations provided in the
Indenture.

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

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

          Unless otherwise defined herein, all terms used in this Debenture
which are defined in the Indenture shall have the meanings assigned to them in
the Indenture.

          This Debenture shall be construed in accordance with and governed by
the laws of the State of New York.
<PAGE>
 
                                                                               8

          Unless the certificate of authentication hereon has been manually
executed by or on behalf of the Trustee under the Indenture, this Debenture
shall not be entitled to any benefits under the Indenture, or be valid or
obligatory for any purpose.


          IN WITNESS WHEREOF, UNION PACIFIC RESOURCES GROUP INC. has caused this
Debenture to be duly executed.


Dated: May 18, 1998                UNION PACIFIC RESOURCES
                                           GROUP INC.

                                       by /s/ Peter Schreck
                                          ------------------
                                          Title: Assistant Treasurer



[SEAL]

Attest:
         /s/ Mark L. Jones
        -------------------------
        Title: Managing Senior Counsel
<PAGE>
 
                                                                               9

                    TRUSTEE'S CERTIFICATE OF AUTHENTICATION


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


                         CHASE BANK OF TEXAS, NATIONAL ASSOCIATION, as Trustee,

                         by
                              ________________________
                              Authorized Signatory
<PAGE>
 
                                                                              10

                          ___________________________


                                 ABBREVIATIONS

          The following abbreviations, when used in the inscription on the face
of this instrument, shall be construed as though they were written out in full
according to applicable laws or regulations:

     TEN COM--as tenants in common
     TEN ENT--as tenants by the entireties
     JT TEN--as joint tenants with right of survivorship and not as tenants in
     common
     UNIF GIFT MIN ACT--...........Custodian.........
                              (Cust)          (Minor)
                    Under Uniform Gifts to Minors Act

                                        ________________________________________
                                                          (State)

                   Additional abbreviations may also be used
                         though not in the above list.

                          ___________________________


          FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto


_________________________________
:                                :

:                                :
_________________________________
                                 

PLEASE INSERT SOCIAL SECURITY OR
OTHER IDENTIFYING NUMBER OF ASSIGNEE:

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL
ZIP CODE OF ASSIGNEE:

________________________________________________________________________________
<PAGE>
 
                                                                              11

__________________________________________________ the within Debenture and all
rights thereunder, hereby irrevocably constituting and appointing
______________________ ______________________________
attorney to transfer said Debenture on the books of the Company, with full power
of substitution in the premises.


Dated:  _______________________


_______________________________
           Signature
(Signature must correspond with
the name as written upon the face
of the within instrument in every
particular, without alteration or
enlargement or any change whatever.)


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