SECOND AMENDMENT TO
                     AMENDED AND RESTATED CREDIT AGREEMENT

                                     Among


                          TESORO PETROLEUM CORPORATION
                                 as the Company


                                      and


                                 BANQUE PARIBAS
         Individually, as an Issuing Bank and as Administrative Agent,


                            THE BANK OF NOVA SCOTIA
                    Individually and as Documentation Agent


                                      and


                           THE FINANCIAL INSTITUTIONS
                        NOW OR HEREAFTER PARTIES HERETO



                         Effective as of March 31, 1997


                               TABLE OF CONTENTS

                                                             Page

ARTICLE I.  DEFINITIONS
    Section 1.01   Terms Defined Above . . . . . . . . . . . . .1
    Section 1.02   Terms Defined in Credit Agreement . . . . . .1
    Section 1.03   Other Definitional Provisions . . . . . . . .1

ARTICLE II.  AMENDMENTS TO CREDIT AGREEMENT
    Section 2.01   Amendments and Supplements to Definitions . .2
    Section 2.02   Amendments to Article V . . . . . . . . . . .2
    Section 2.03   Amendments to Article VI. . . . . . . . . . .3

ARTICLE III.  CONDITIONS
    Section 3.01   Loan Documents. . . . . . . . . . . . . . . .3
    Section 3.02   Corporate Proceedings of Loan Parties . . . .4
    Section 3.03   Representations and Warranties. . . . . . . .4
    Section 3.04   No Default. . . . . . . . . . . . . . . . . .4
    Section 3.05   Security Instruments. . . . . . . . . . . . .4
    Section 3.06   Other Instruments or Documents. . . . . . . .4

ARTICLE IV.  MISCELLANEOUS
    Section 4.01   Adoption, Ratification and Confirmation of
                     Credit Agreement. . . . . . . . . . . . . .4
    Section 4.02   Ratification and Affirmation of Guaranty. . .4
    Section 4.03   Successors and Assigns. . . . . . . . . . . .5
    Section 4.04   Counterparts. . . . . . . . . . . . . . . . .5
    Section 4.05   Number and Gender . . . . . . . . . . . . . .5
    Section 4.06   Entire Agreement. . . . . . . . . . . . . . .5
    Section 4.07   Invalidity. . . . . . . . . . . . . . . . . .5
    Section 4.08   Titles of Articles, Sections and Subsections.5
    Section 4.09   Governing Law . . . . . . . . . . . . . . . .6

                                      -i-


                       SECOND AMENDMENT AND SUPPLEMENT TO
                                CREDIT AGREEMENT


    This SECOND  AMENDMENT  AND  SUPPLEMENT  TO  CREDIT  AGREEMENT (this "Second
Amendment") executed effective as of March 31, 1997 (the "Effective  Date"),  is
by   and  among  TESORO  PETROLEUM  CORPORATION,  a  Delaware  corporation  (the
"Company");  BANQUE  PARIBAS,   individually,   as   an   Issuing  Bank  and  as
Administrative Agent, THE BANK OF NOVA SCOTIA, individually and as Documentation
Agent, and each of the lenders that is a signatory hereto  or  which  becomes  a
party  hereto  as  provided  in  Section  9.07  (individually,  a  "Lender" and,
collectively, the "Lenders").

                              W I T N E S S E T H:

    WHEREAS, the Company, the Administrative Agent, the Documentation Agent, the
Issuing Bank and the Lenders  are  parties  to that certain Amended and Restated
Credit Agreement dated as of June 7, 1996, as  amended  by  First  Amendment  to
Amended  and  Restated  Credit Agreement dated as of March 21, 1997 (the "Credit
Agreement"), pursuant to  which  the  Lenders  agreed  to  make  loans and issue
Letters of Credit to and for the account of the Company; and

    WHEREAS,  the  Company,  the  Guarantors,  the  Administrative  Agent,   the
Documentation Agent, and the Lenders desire to amend the Credit Agreement in the
particulars hereinafter provided;

    NOW,  THEREFORE,  in  consideration of the premises and the mutual covenants
herein contained, the parties hereto agree as follows:


                            ARTICLE I.  DEFINITIONS

    Section 1.01   Terms Defined Above.  As  used in this Second Amendment, each
of  the  terms  "Company",  "Credit  Agreement",   "Effective   Date",   "Second
Amendment",  and  "Lenders"  shall  have  the  meaning  assigned  to  such  term
hereinabove.

    Section  1.02   Terms Defined in Credit Agreement.  Each term defined in the
Credit Agreement and  used  herein  without  definition  shall  have the meaning
assigned to such term in the Credit Agreement, unless expressly provided to  the
contrary.

    Section 1.03   Other Definitional Provisions.

         (a)  The  words  "hereby",  "herein",  "hereinafter", "hereof",
    "hereto" and "hereunder" when  used  in  this Second Amendment shall
    refer to this Second Amendment as a whole and not to any  particular
    Article, Section, subsection or provision of this Second Amendment.

         (b)  Section,  subsection  and Exhibit references herein are to
    such Sections, subsections  and  Exhibits  to  this Second Amendment
    unless otherwise specified.


                  ARTICLE II.  AMENDMENTS TO CREDIT AGREEMENT

    The Company, the Administrative Agent, the Documentation Agent, the  Issuing
Bank  and  the  Lenders  agree  that  the  Credit  Agreement  is hereby amended,
effective as of the Effective Date, in the following particulars.

    Section 2.01   Amendments and Supplements to Definitions.

         (a)  The definition  of  "Agreement"  in  Section  1.01  of the
    Credit Agreement is hereby amended to mean the Credit Agreement,  as
    amended  by  this  Second Amendment and as the same may from time to
    time be further amended, supplemented or modified.

         (b)  Section 1.01 of  the  Credit  Agreement  is hereby further
    amended and supplemented by  adding  the  following  new  definition
    where  alphabetically  appropriate,  which  reads in its entirety as
    follows:

              "Second  Amendment"   shall   mean   that  certain  Second
         Amendment to Amended and Restated Credit Agreement dated as  of
         March  31,  1997,  by and among the Company, the Administrative
         Agent,  the  Documentation  Agent,  the  Issuing  Bank  and the
         Lenders.

    Section 2.02   Amendments to  Article  V.  Section  5.15(e)  of  the  Credit
Agreement is hereby amended in its entirety to read as follows:

         "(e)  Engineering  Reports.  Promptly after December 31st and June 30th
    of each year, but in no event  later  than 60 days after such date, a report
    (the "Reserve Report") in form and substance satisfactory  to  the  Majority
    Lenders,  and in the case of the December 31 Reserve Report, prepared by the
    engineering staff  of  the  Company  and  audited  by  Netherland,  Sewell &
    Associates or other independent petroleum consultant(s)  acceptable  to  the
    Majority  Lenders  (the  previous  acceptability of an independent petroleum
    consultant satisfactory to the  Majority  Lenders  shall  have no bearing on
    such consultant's present or future  acceptability),  which  Reserve  Report
    shall  evaluate  the Hydrocarbon reserves included in the Mortgaged Property
    as of each such date  and  which  shall, together with any other information
    reasonably requested by any Lender, set forth the total  Proved  Hydrocarbon
    reserves  by  accepted  and  customary reserve category attributable to such
    Mortgaged Property, together with a projection of the rate of production and
    future net income with respect thereto  as  of  each such date.  The June 30
    Reserve Report  shall  be  an  unaudited  Reserve  Report  prepared  by  the
    engineering  staff  of  the Company and shall update the most recent Reserve
    Report.  Notwithstanding the foregoing,  (i)  if  the  Company or any of its
    Subsidiaries acquires  additional  Oil  and  Gas  Properties  that,  in  the
    determination of the Majority Lenders, materially affects

                                      -2-


    the  E&P  Borrowing  Base,  then  the  Majority  Lenders may require that an
    initial  Reserve  Report  relating  to  such  newly  acquired  Oil  and  Gas
    Properties  be  prepared  by  Netherland,   Sewell  &  Associates  or  other
    independent petroleum consultants acceptable to the Majority Lenders, to  be
    delivered  to the Lenders concurrently with the next required Reserve Report
    and (ii) if there is a  material  adverse  effect  on Tesoro LP because of a
    change  in  the  value  of  the  Hydrocarbon  reserves   included   in   the
    determination  of the E&P Borrowing Base (other than solely as the result of
    a change in the price of natural gas), then the Majority Lenders may require
    that a Reserve Report relating to all of the Oil and Gas Properties included
    in the determination of the  E&P  Borrowing  Base be prepared by Netherland,
    Sewell & Associates or other independent petroleum consultants acceptable to
    the Majority Lenders, to be delivered  within  60  days  after  the  request
    therefor by the Administrative Agent on behalf of the Majority Lenders."

    Section 2.03   Amendments to Article VI.

         (a)  Section  6.05(n)  of the Credit Agreement is hereby amended in its
    entirety to read as follows:

              "(n)  Indebtedness,  not  to  exceed  $18,000,000  in  the
         aggregate, incurred by Tesoro  Northstore  or Tesoro Alaska, to
         be  used  for  (i)  the  purchase  (in   fee   or   leasehold),
         construction,  and/or upgrading of retail outlet stores or (ii)
         modifications  to  the   hydrocracker   located  at  the  Kenai
         Refinery,  subject,   however,   to   the   execution   of   an
         intercreditor  agreement  satisfactory in form and substance to
         the Administrative Agent and Documentation Agent."

    (b)  Section 6.06(p) of the  Credit  Agreement  is  hereby  amended  in  its
    entirety to read as follows:

              "(p)  Liens securing  up  to  $18,000,000  of Indebtedness
         permitted by Section 6.05(n);"


                            ARTICLE III.  CONDITIONS

    The  enforceability  of  this  Second  Amendment  against the Administrative
Agent, the Documentation Agent, the Issuing  Bank  and the Lenders is subject to
the satisfaction of the following conditions precedent:

    Section 3.01   Loan Documents.  The Administrative Agent shall have received
multiple original counterparts, as requested by  the  Administrative  Agent,  of
this Second Amendment executed and delivered by a duly authorized officer of the
Company,  each  of  the  Guarantors, the Administrative Agent, the Documentation
Agent, each Issuing Bank and each Lender, as applicable;

                                      -3-


    Section 3.02  Corporate  Proceedings  of  Loan  Parties.  The Administrative
Agent shall have received multiple copies, as requested  by  the  Administrative
Agent,  of the resolutions, in form and substance reasonably satisfactory to the
Administrative Agent,  of  the  Boards  of  Directors  of  the  Company  and the
Guarantors, authorizing the execution, delivery and performance of  this  Second
Amendment,  each  such  copy  being  attached  to an original certificate of the
Secretary or  an  Assistant  Secretary  of  the  Company  or  the Guarantors, as
applicable, dated as of the Effective Date, certifying (i) that the  resolutions
attached  thereto  are  true,  correct  and  complete copies of resolutions duly
adopted by written consents or at meetings of the Boards of Directors, (ii) that
such  resolutions  constitute  all  resolutions  adopted  with  respect  to  the
transactions contemplated hereby,  (iii)  that  such  resolutions  have not been
amended, modified, revoked or rescinded as of the Effective Date, (iv) that  the
respective  articles  of  incorporation  and  bylaws  of  the  Company  and  the
Guarantors  have not been amended or otherwise modified since the effective date
of the Credit Agreement, except pursuant to any amendments attached thereto, and
(v) as to the incumbency and  signature  of  the  officers of the Company or the
Guarantors, as applicable, executing this Second Amendment.

    Section 3.03   Representations and Warranties.  Except as  affected  by  the
transactions  contemplated  in  the  Credit Agreement and this Second Amendment,
each  of  the  representations  and  warranties  made  by  the  Company  and the
Guarantors in or pursuant to  the  Financing  Documents,  including  the  Credit
Agreement,  shall  be  true  and  correct  in  all  material  respects as of the
Effective Date, as if made on and as of such date.

    Section 3.04   No  Default.   No  Default  or  Event  of  Default shall have
occurred and be continuing as of the Effective Date.

    Section  3.05   Security  Instruments.   All  of  the  Security  Instruments
(subject to any partial releases thereof) shall be in full force and effect  and
provide  to the Administrative Agent the security intended thereby to secure the
Indebtedness.

    Section 3.06   Other Instruments or  Documents.  The Administrative Agent or
any Lender or counsel to the  Administrative  Agent  shall  receive  such  other
instruments or documents as they may reasonably request.


                           ARTICLE IV.  MISCELLANEOUS

    Section  4.01   Adoption, Ratification and Confirmation of Credit Agreement.
Each of the Company, the Guarantors, the Administrative Agent, the Documentation
Agent, the Issuing Bank and  the  Lenders  does hereby adopt, ratify and confirm
the Credit Agreement, as amended hereby, and acknowledges and  agrees  that  the
Credit Agreement, as amended hereby, is and remains in full force and effect.

    Section  4.02   Ratification  and  Affirmation  of  Guaranty.   Each  of the
Guarantors hereby expressly (i) acknowledges the terms of this Second Amendment,
(ii) ratifies and affirms its obligations under the Second Amended and  Restated
Guaranty Agreement dated as of

                                      -4-

January 28, 1997, in favor of the Administrative Agent, the Documentation Agent,
the Issuing Bank and the Lenders, as amended, supplemented or otherwise modified
("Guaranty  Agreement"),  (iii)  acknowledges,  renews and extends its continued
liability under the Guaranty Agreement  and  agrees that such Guaranty Agreement
remains in full force and effect; and  (iv)  guarantees  to  the  Administrative
Agent,  the  Documentation  Agent, each Issuing Bank and each Lender to promptly
pay when due all amounts owing or to be owing by it under the Guaranty Agreement
pursuant to the terms and conditions thereof.

    Section 4.03   Successors  and  Assigns.   This  Second  Amendment  shall be
binding upon and inure to the benefit of the parties hereto and their respective
successors and assigns permitted pursuant to the Credit Agreement.

    Section 4.04   Counterparts.  This Second Amendment may be executed  by  one
or more of the parties hereto in any number of separate counterparts, and all of
such  counterparts taken together shall be deemed to constitute one and the same
instrument and shall be enforceable as  of the Effective Date upon the execution
of one  or  more  counterparts  hereof  by  the  Company,  the  Guarantors,  the
Administrative Agent, the Documentation Agent, the Issuing Bank and the Lenders.
In  this  regard,  each of the parties hereto acknowledges that a counterpart of
this Second Amendment containing a set of counterpart execution pages reflecting
the execution of each party hereto  shall be sufficient to reflect the execution
of this Second Amendment by each necessary party hereto and shall constitute one
instrument.

    Section 4.05   Number and Gender.  Whenever the context requires,  reference
herein  made to the single number shall be understood to include the plural; and
likewise, the  plural  shall  be  understood  to  include  the  singular.  Words
denoting sex shall be construed to include the masculine, feminine  and  neuter,
when  such  construction  is  appropriate;  and  specific  enumeration shall not
exclude the general but shall be  construed as cumulative.  Definitions of terms
defined in the singular or plural shall be equally applicable to the  plural  or
singular, as the case may be, unless otherwise indicated.

    Section  4.06   Entire  Agreement.   This  Second  Amendment constitutes the
entire agreement among the parties  hereto  with  respect to the subject hereof.
All prior understandings, statements and agreements, whether  written  or  oral,
relating to the subject hereof are superseded by this Second Amendment.

    Section  4.07   Invalidity.   In  the  event  that  any  one  or more of the
provisions contained in  this  Second  Amendment  shall  for  any reason be held
invalid, illegal or unenforceable in any respect, such invalidity, illegality or
unenforceability shall not affect any other provision of this Second Amendment.

    Section 4.08   Titles of Articles, Sections and Subsections.  All titles  or
headings  to  Articles,  Sections, subsections or other divisions of this Second
Amendment or the exhibits hereto, if  any,  are  only for the convenience of the
parties and shall not be construed to have any effect or meaning with

                                      -5-


respect to the other content of  such  Articles,  Sections,  subsections,  other
divisions  or  exhibits,  such  other content being controlling as the agreement
among the parties hereto.

    Section 4.09   Governing  Law.  This  Second  Amendment  and  the rights and
obligations of the parties hereunder and under the  Credit  Agreement  shall  be
governed  by and construed in accordance with the laws of the State of Texas and
the United States of America.

    THIS  SECOND  AMENDMENT,  THE   CREDIT  AGREEMENT,  AS  AMENDED  AND
    SUPPLEMENTED HEREBY, THE NOTES, AND THE  OTHER  FINANCING  DOCUMENTS
    CONSTITUTE   A  WRITTEN  LOAN  AGREEMENT  AND  REPRESENT  THE  FINAL
    AGREEMENT  BETWEEN  THE  PARTIES  AND  MAY  NOT  BE  CONTRADICTED BY
    EVIDENCE OF PRIOR, CONTEMPORANEOUS, OR SUBSEQUENT ORAL AGREEMENTS OF
    THE PARTIES.

    THERE ARE NO UNWRITTEN ORAL AGREEMENTS BETWEEN THE PARTIES.


                      [SIGNATURES BEGIN NEXT PAGE]

                                  -6-


    IN WITNESS WHEREOF, the parties hereto have caused this Second Amendment  to
be  duly  executed and delivered by their proper and duly authorized officers as
of the Effective Date.

COMPANY:                     TESORO PETROLEUM CORPORATION


                             By:   /s/ G. A. Wright
                             Name:     G. A. Wright
                             Title:    Vice President and Treasurer


ADMINISTRATIVE AGENT,
ISSUING BANK AND LENDER:     BANQUE PARIBAS, individually, as an Issuing
                             Bank and as Administrative Agent


                             By:   /s/ B. Malone
                             Name:     Brian Malone
                             Title:    Vice President


                             By:   /s/ Larry Robinson
                             Name:     Larry Robinson
                             Title:    Vice President


DOCUMENTATION AGENT,
ISSUING BANK AND LENDER:          THE BANK OF NOVA SCOTIA


                             By:   /s/ F.C.H. Ashby
                             Name:     F.C.H. Ashby
                             Title:    Senior Manager
                                       Loan Operations

LENDERS:                     BANK OF SCOTLAND


                             By:   /s/ Annie Chin Tat
                             Name:     Annie Chin Tat
                             Title:    Assistant Vice President

                                      S-1


                             CHRISTIANIA BANK OG KREDITKASSE


                             By:   /s/ Williams S. Phillips
                             Name:     Williams S. Phillips
                             Title:    Vice President


                             By:   /s/ Peter M. Dodge
                             Name:     Peter M. Dodge
                             Title:    First Vice President


                             THE FIRST NATIONAL BANK OF CHICAGO,
                             Individually and as an Issuing Bank


                             By:   /s/ D. Andrew Bateman
                             Name:     D. Andrew Bateman
                             Title:    Authorized Agent


                             FIRST UNION NATIONAL BANK OF NORTH
                             CAROLINA


                             By:   /s/ Michael J. Kolosowsky
                             Name:     Michael J. Kolosowsky
                             Title:    Vice President


                             NATIONAL BANK OF CANADA


                             By:   /s/ John T. Dixon
                             Name:     John T. Dixon
                             Title:    Vice President


                             By:   /s/ Doug G. Clark
                             Name:     Doug G. Clark
                             Title:    Vice President

                                      S-2


                             THE FROST NATIONAL BANK


                             By:   /s/ Jim Crosby
                             Name:     Jim Crosby
                             Title:    SVP


                             DEN NORSKE BANK ASA


                             By:   /s/ Byron L. Cooley
                             Name:     Byron L. Cooley
                             Title:    Senior Vice President


                             By:   /s/ Morten Bjornsen
                             Name:     Morten Bjornsen
                             Title:    Senior Vice President


GUARANTORS:                  TESORO ALASKA PETROLEUM COMPANY
                             TESORO EXPLORATION AND PRODUCTION
                             COMPANY
                             TESORO PETROLEUM COMPANIES, INC.
                             DIGICOMP, INC.
                             TESORO TECHNOLOGY PARTNERS COMPANY
                             INTERIOR FUELS COMPANY
                             TESORO ALASKA PIPELINE COMPANY
                             TESORO NORTHSTORE COMPANY
                             TESORO REFINING, MARKETING & SUPPLY
                             COMPANY
                             TESORO NATURAL GAS COMPANY
                             TESORO BOLIVIA PETROLEUM COMPANY
                             TESORO VOSTOK COMPANY
                             KENAI PIPE LINE COMPANY
                             TESORO MARINE SERVICES COMPANY
                             TESORO COASTWIDE SERVICES COMPANY
                             COASTWIDE MARINE SERVICES, INC.


                             By:   /s/ G. A. Wright
                             Name:     G. A. Wright
                             Title:    Vice President and Treasurer

                                      S-3


                             TESORO GAS RESOURCES COMPANY, INC.
                             TESORO FINANCIAL SERVICES HOLDING COMPANY


                             By:   /s/ J. B. Fabian
                             Name:     Jeffrey B. Fabian
                             Title:    President


                             VICTORY FINANCE COMPANY


                             By:   /s/ David W. Dupert
                             Name:     David W. Dupert
                             Title:    President


                             TESORO E&P COMPANY, L.P.

                             By:  TESORO EXPLORATION AND PRODUCTION
                                  COMPANY, as its general partner


                             By:   /s/ G. A. Wright
                             Name:     G. A. Wright
                             Title:    Vice President and Treasurer

                                      S-4