UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549



                                   FORM 10-Q

(Mark One)
[X]         QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE
                        SECURITIES EXCHANGE ACT OF 1934

               FOR THE QUARTERLY PERIOD ENDED SEPTEMBER 30, 1998

                                       OR

[  ]           TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

      FOR THE TRANSITION PERIOD FROM . . . . . . . .   TO . . . . . . . .


COMMISSION FILE NUMBER 1-3473

                          TESORO PETROLEUM CORPORATION
             (Exact name of registrant as specified in its charter)

           DELAWARE                                 95-0862768
 (State or other jurisdiction of                (I.R.S. Employer
incorporation or organization)                  Identification No.)

               8700 TESORO DRIVE, SAN ANTONIO, TEXAS  78217-6218
              (Address of principal executive offices) (Zip Code)

                                  210-828-8484
              (Registrant's telephone number, including area code)



Indicate by check mark whether the registrant (1) has filed all reports required
to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during
the preceding 12 months  (or  for  such  shorter  period that the registrant was
required to file such  reports),  and  (2)  has  been  subject  to  such  filing
requirements for the past 90 days.

                   Yes    X            No
                        ----              -----


There  were  32,333,116  shares  of the registrant's Common Stock outstanding at
October 31, 1998.



                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES

                         QUARTERLY REPORT ON FORM 10-Q

               FOR THE QUARTERLY PERIOD ENDED SEPTEMBER 30, 1998

                               TABLE OF CONTENTS



                                                                      Page
PART I.  FINANCIAL INFORMATION

  Item 1.  Financial Statements (Unaudited)

   Condensed Consolidated Balance Sheets -September 30, 1998 and
    December 31, 1997. . . . . . . . . . . . . . . . . . . . . . . .    3

   Condensed Statements of Consolidated Operations - Three Months
    and Nine Months Ended September 30, 1998 and 1997. . . . . . . .    4

   Condensed Statements of Consolidated Cash Flows - Nine Months
    Ended September 30, 1998 and 1997. . . . . . . . . . . . . . . .    5

   Notes to Condensed Consolidated Financial Statements. . . . . . .    6

  Item 2.  Management's Discussion and Analysis of Financial
   Condition and Results of Operations . . . . . . . . . . . . . . .   14


PART II.  OTHER INFORMATION

  Item 1.  Legal Proceedings . . . . . . . . . . . . . . . . . . . .   27

  Item 4.  Submission of Matters to a Vote of Security Holders . . .   28

  Item 6.  Exhibits and Reports on Form 8-K. . . . . . . . . . . . .   29


SIGNATURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   30


EXHIBIT INDEX. . . . . . . . . . . . . . . . . . . . . . . . . . . .   31

                                       2

                         PART I - FINANCIAL INFORMATION

ITEM 1.  FINANCIAL STATEMENTS



                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                     CONDENSED CONSOLIDATED BALANCE SHEETS
                                  (UNAUDITED)
                (DOLLARS IN THOUSANDS EXCEPT PER SHARE AMOUNTS)

                                                                     September 30,    December 31,
                                                                         1998            1997<F1>
                                                                         ----            ----
                         ASSETS
                                                                               
CURRENT ASSETS
 Cash and cash equivalents . . . . . . . . . . . . . . . . . . . . $     3,454     $     8,352
 Receivables, less allowance for doubtful accounts of $1,613
  ($1,373 at December 31, 1997). . . . . . . . . . . . . . . . . .     167,582          76,282
 Inventories:
  Crude oil and wholesale refined products, at LIFO. . . . . . . .     184,368          68,227
  Merchandise and other refined products . . . . . . . . . . . . .      21,832          13,377
  Materials and supplies . . . . . . . . . . . . . . . . . . . . .      18,896           5,755
 Prepayments and other . . . . . . . . . . . . . . . . . . . . . .       9,193           9,842
                                                                     ----------      ----------
  Total Current Assets . . . . . . . . . . . . . . . . . . . . . .     405,325         181,835
                                                                     ----------      ----------

PROPERTY, PLANT AND EQUIPMENT
 Refining and marketing. . . . . . . . . . . . . . . . . . . . . .     835,166         370,174
 Exploration and production (full-cost method of accounting) . . .     394,538         291,411
 Marine services . . . . . . . . . . . . . . . . . . . . . . . . .      49,862          43,072
 Corporate . . . . . . . . . . . . . . . . . . . . . . . . . . . .      17,922          13,689
                                                                     ----------      ----------
                                                                     1,297,488         718,346
  Less accumulated depreciation, depletion and amortization. . . .     352,345         304,523
                                                                     ----------      ----------
  Net Property, Plant and Equipment. . . . . . . . . . . . . . . .     945,143         413,823
                                                                     ----------      ----------

OTHER ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . .     131,233          32,150
                                                                     ----------      ----------

   Total Assets. . . . . . . . . . . . . . . . . . . . . . . . . . $ 1,481,701     $   627,808
                                                                     ==========      ==========

          LIABILITIES AND STOCKHOLDERS' EQUITY

CURRENT LIABILITIES
 Accounts payable. . . . . . . . . . . . . . . . . . . . . . . . . $   156,527     $    58,767
 Accrued liabilities and current income taxes payable. . . . . . .      91,742          31,726
 Current maturities of long-term debt and other obligations. . . .       6,386          17,002
                                                                     ----------      ----------
  Total Current Liabilities. . . . . . . . . . . . . . . . . . . .     254,655         107,495
                                                                     ----------      ----------

DEFERRED INCOME TAXES. . . . . . . . . . . . . . . . . . . . . . .      79,388          28,824
                                                                     ----------      ----------

OTHER LIABILITIES  . . . . . . . . . . . . . . . . . . . . . . . .      62,781          43,211
                                                                     ----------      ----------

LONG-TERM DEBT AND OTHER OBLIGATIONS, LESS
  CURRENT MATURITIES . . . . . . . . . . . . . . . . . . . . . . .     483,245         115,314
                                                                     ----------      ----------

COMMITMENTS AND CONTINGENCIES (Notes E and F)

STOCKHOLDERS' EQUITY
 Preferred Stock, no par value; authorized 5,000,000 shares:
  7.25% Mandatorily Convertible Preferred Stock,
  103,500 shares issued and outstanding. . . . . . . . . . . . . .    164,953              -
 Common stock, par value $0.16-2/3; authorized 100,000,000 shares
  (50,000,000 in 1997); 32,653,138 shares issued
   (26,506,601 in 1997)  . . . . . . . . . . . . . . . . . . . . .       5,442           4,418
 Additional paid-in capital. . . . . . . . . . . . . . . . . . . .     278,594         190,925
 Retained earnings . . . . . . . . . . . . . . . . . . . . . . . .     158,052         140,980
 Treasury stock, 320,022 common shares (216,453 in 1997), at cost       (5,409)         (3,359)
                                                                     ----------      ----------
  Total Stockholders' Equity . . . . . . . . . . . . . . . . . . .     601,632         332,964
                                                                     ----------      ----------

   Total Liabilities and Stockholders' Equity. . . . . . . . . . . $ 1,481,701     $   627,808
                                                                     ==========      ==========

<FN>
<F1> The balance sheet at  December  31,  1997  has  been taken from the audited
      consolidated financial statements at that date and condensed.

The accompanying notes are an integral part of these condensed consolidated financial statements.

                                       3



                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                CONDENSED STATEMENTS OF CONSOLIDATED OPERATIONS
                                  (UNAUDITED)
                    (IN THOUSANDS EXCEPT PER SHARE AMOUNTS)


                                                                      Three Months Ended              Nine Months Ended
                                                                        September 30,                   September 30,
                                                                     -------------------             -------------------
                                                                     1998           1997             1998           1997
                                                                     ----           ----             ----           ----
                                                                                                      
REVENUES
 Refining and marketing. . . . . . . . . . . . . . . . . . .   $   424,776    $   198,815      $   772,495    $   534,986
 Exploration and production. . . . . . . . . . . . . . . . .        19,374         19,821           63,130         61,769
 Marine services . . . . . . . . . . . . . . . . . . . . . .        28,392         32,433           90,367         98,266
 Other income. . . . . . . . . . . . . . . . . . . . . . . .           192            403           21,610          4,609
                                                                   --------       --------         --------       --------
  Total Revenues . . . . . . . . . . . . . . . . . . . . . .       472,734        251,472          947,602        699,630
                                                                   --------       --------         --------       --------

OPERATING COSTS AND EXPENSES
 Refining and marketing. . . . . . . . . . . . . . . . . . .       397,672        188,014          711,119        508,926
 Exploration and production. . . . . . . . . . . . . . . . .         3,833          3,054           11,248          8,836
 Marine services . . . . . . . . . . . . . . . . . . . . . .        24,821         29,691           82,292         93,406
 Depreciation, depletion and amortization. . . . . . . . . .        17,885         11,357           45,683         34,183
                                                                   --------       --------         --------       --------
  Total Segment Operating Costs and Expenses . . . . . . . .       444,211        232,116          850,342        645,351
                                                                   --------       --------         --------       --------

SEGMENT OPERATING PROFIT . . . . . . . . . . . . . . . . . .        28,523         19,356           97,260         54,279

Other Operating Costs and Expenses . . . . . . . . . . . . .           -              -             (7,934)           -
General and Administrative . . . . . . . . . . . . . . . . .        (4,465)        (3,416)         (11,689)        (9,599)
Interest and Financing Costs, Net of Capitalized Interest. .       (10,884)        (1,893)         (20,681)        (5,819)
Interest Income. . . . . . . . . . . . . . . . . . . . . . .         1,532            135            1,945          1,459
Other Expense, Net . . . . . . . . . . . . . . . . . . . . .          (813)          (821)         (15,079)        (2,280)
                                                                   --------       --------         --------       --------

EARNINGS BEFORE INCOME TAXES AND
 EXTRAORDINARY ITEM. . . . . . . . . . . . . . . . . . . . .        13,893         13,361           43,822         38,040
Income Tax Provision . . . . . . . . . . . . . . . . . . . .         6,126          5,382           19,119         14,292
                                                                   --------       --------         --------       --------

EARNINGS BEFORE EXTRAORDINARY ITEM . . . . . . . . . . . . .         7,767          7,979           24,703         23,748
Extraordinary Loss on Extinguishment of Debt, Net of
 Income Tax Benefit of $2,401 in 1998. . . . . . . . . . . .           -              -             (4,641)           -
                                                                   --------       --------         --------       --------

NET EARNINGS . . . . . . . . . . . . . . . . . . . . . . . .         7,767          7,979           20,062         23,748
Preferred Dividend Requirements. . . . . . . . . . . . . . .         2,990            -              2,990            -
                                                                   --------       --------         --------       --------
NET EARNINGS APPLICABLE TO COMMON. . . . . . . . . . . . . .   $     4,777    $     7,979      $    17,072    $    23,748
                                                                   ========       ========         ========       ========


NET EARNINGS PER SHARE - BASIC . . . . . . . . . . . . . . .   $      0.15    $      0.30      $      0.60    $      0.90
                                                                   ========       ========         ========       ========
NET EARNINGS PER SHARE - DILUTED . . . . . . . . . . . . . .   $      0.15    $      0.30      $      0.59    $      0.88
                                                                   ========       ========         ========       ========
WEIGHTED AVERAGE COMMON SHARES - BASIC . . . . . . . . . . .        32,331         26,439           28,394         26,431
                                                                   ========       ========         ========       ========
WEIGHTED AVERAGE COMMON AND POTENTIALLY
 DILUTIVE COMMON SHARES - DILUTED. . . . . . . . . . . . . .        32,876         26,938           28,955         26,857
                                                                   ========       ========         ========       ========

The accompanying notes are an integral part of these condensed consolidated financial statements.

                                       4




                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                CONDENSED STATEMENTS OF CONSOLIDATED CASH FLOWS
                                  (UNAUDITED)
                                 (IN THOUSANDS)

                                                                                         Nine Months Ended
                                                                                          September 30,
                                                                                     -------------------------
                                                                                       1998           1997
                                                                                       ----           ----
                                                                                             
CASH FLOWS FROM (USED IN) OPERATING ACTIVITIES
  Net earnings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $    20,062    $    23,748
  Adjustments to reconcile net earnings to net cash from operating activities:
   Depreciation, depletion and amortization. . . . . . . . . . . . . . . . . .        46,355         34,643
   Extraordinary loss on extinguishment of debt, net of income tax benefit . .         4,641            -
   Amortization of goodwill, deferred charges and other. . . . . . . . . . . .         2,718            652
   Changes in operating assets and liabilities:
    Receivables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       (40,725)        45,882
    Inventories. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       (12,090)           358
    Accounts payable and other current liabilities . . . . . . . . . . . . . .        70,407        (38,557)
    Obligation payments to State of Alaska . . . . . . . . . . . . . . . . . .        (3,008)        (3,406)
    Deferred income taxes. . . . . . . . . . . . . . . . . . . . . . . . . . .         3,199          5,401
    Other assets and liabilities . . . . . . . . . . . . . . . . . . . . . . .         7,200          2,350
                                                                                   ----------     ----------
       Net cash from operating activities. . . . . . . . . . . . . . . . . . .        98,759         71,071
                                                                                   ----------     ----------

CASH FLOWS FROM (USED IN) INVESTING ACTIVITIES
  Capital expenditures . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (131,316)       (95,082)
  Acquisitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (527,916)           -
  Other. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (204)        (3,155)
                                                                                   ----------     ----------
    Net cash used in investing activities. . . . . . . . . . . . . . . . . . .      (659,436)       (98,237)
                                                                                   ----------     ----------

CASH FLOWS FROM (USED IN) FINANCING ACTIVITIES
  Borrowings under revolving credit facilities, net of repayments. . . . . . .       (24,111)        15,828
  Borrowings under term loans, net of repayments . . . . . . . . . . . . . . .       150,000            -
  Proceeds from equity and debt offerings, net . . . . . . . . . . . . . . . .       532,765            -
  Refinancing and repayments of debt and obligations . . . . . . . . . . . . .       (92,185)        (3,287)
  Financing costs and other. . . . . . . . . . . . . . . . . . . . . . . . . .       (10,690)          (792)
                                                                                   ----------     ----------
    Net cash from financing activities . . . . . . . . . . . . . . . . . . . .       555,779         11,749
                                                                                   ----------     ----------

DECREASE IN CASH AND CASH EQUIVALENTS. . . . . . . . . . . . . . . . . . . . .        (4,898)       (15,417)

CASH AND CASH EQUIVALENTS, BEGINNING OF PERIOD . . . . . . . . . . . . . . . .         8,352         22,796
                                                                                   ----------     ----------

CASH AND CASH EQUIVALENTS, END OF PERIOD . . . . . . . . . . . . . . . . . . .   $     3,454    $     7,379
                                                                                   ==========     ==========

SUPPLEMENTAL CASH FLOW DISCLOSURES
  Interest paid, net of $56 capitalized in 1998 and $313 capitalized in 1997 .   $     9,779    $     1,654
                                                                                   ==========     ==========
  Income taxes paid. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $    13,490    $    20,764
                                                                                   ==========     ==========
The accompanying notes are an integral part of these condensed consolidated financial statements.

                                       5


                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
              NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
                                  (UNAUDITED)


NOTE A - BASIS OF PRESENTATION

The interim condensed  consolidated  financial  statements  and notes thereto of
Tesoro Petroleum Corporation and its subsidiaries (collectively,  the  "Company"
or  "Tesoro")  have  been  prepared  by management without audit pursuant to the
rules  and  regulations  of  the  Securities  and  Exchange  Commission ("SEC").
Accordingly, the accompanying financial statements reflect all adjustments that,
in the opinion of management, are necessary for a fair presentation  of  results
for  the  periods presented.  Such adjustments are of a normal recurring nature.
Certain information and notes normally included in financial statements prepared
in accordance with generally accepted  accounting principles have been condensed
or omitted pursuant to the SEC's rules  and  regulations.   However,  management
believes  that  the  disclosures  presented  herein  are  adequate  to  make the
information not misleading.   The  accompanying condensed consolidated financial
statements and notes  should  be  read  in  conjunction  with  the  consolidated
financial  statements and notes thereto contained in the Company's Annual Report
on Form 10-K for the year ended December 31, 1997.

The preparation of  these  condensed  consolidated financial statements required
the use of management's best estimates and judgment  that  affect  the  reported
amounts  of  assets  and  liabilities  and  disclosures of contingent assets and
liabilities at the date of the  financial statements and the reported amounts of
revenues and expenses during the periods.   Actual  results  could  differ  from
those  estimates.   The  results  of  operations  for any interim period are not
necessarily indicative of results for the full year.

Earnings per share have  been  restated  for  prior  periods to conform with the
requirements of Statement of Financial  Accounting  Standard  ("SFAS")  No.  128
which  established  standards  for  computing  and  presenting basic and diluted
earnings per share  calculations.   In  addition, certain reclassifications have
been  made  to  information  previously   reported   to   conform   to   current
presentations.

NOTE B - ACQUISITIONS

Refining and Marketing

On   May   29,   1998,  the  Company  completed  the  acquisition  (the  "Hawaii
Acquisition") of all of the outstanding  capital stock of BHP Petroleum Americas
Refining Inc. and BHP Petroleum South Pacific Inc. (together, "BHP Hawaii") from
BHP Hawaii  Inc.  and  BHP  Petroleum  Pacific  Islands  Inc.  ("BHP  Sellers"),
affiliates  of  The Broken Hill Proprietary Company Limited ("BHP").  The Hawaii
Acquisition included a 95,000-barrel  per  day  refinery (the "Hawaii Refinery")
and 32 retail gasoline stations located in Hawaii.  In addition,  Tesoro  and  a
BHP  affiliate  entered into a two-year crude supply agreement pursuant to which
the BHP affiliate will assist  Tesoro  in  acquiring crude oil feedstock sourced
outside of North America and arrange for the transportation of such crude oil to
the Hawaii Refinery.   Tesoro  paid  $252.2  million  in  cash  for  the  Hawaii
Acquisition,  including  $77.2  million  for  net working capital.  In addition,
Tesoro issued an unsecured,  non-interest  bearing, promissory note ("BHP Note")
for the purchase in the amount of $50 million,  payable  in  five  equal  annual
installments  of $10 million each, beginning in 2009.  The BHP Note provides for
early payment to the extent of one-half of the amount by which earnings from the
acquired assets, before  interest  expense,  income  taxes  and depreciation and
amortization, as specified in the BHP Note, exceed $50 million in  any  calendar
year.

On  August  10,  1998,  the  Company  completed the acquisition (the "Washington
Acquisition" and together with  the  Hawaii  Acquisition, the "Acquisitions") of
all of the  outstanding  stock  of  Shell  Anacortes  Refining  Company  ("Shell
Washington"),  an  affiliate  of  Shell  Oil  Company ("Shell").  The Washington
Acquisition  included  an  108,000-barrel  per  day  refinery  (the  "Washington
Refinery") in Anacortes, Washington and related assets.  The total cash purchase
price for the Washington  Acquisition  was  $237  million plus $39.6 million for
estimated working capital, which is subject to post-closing adjustments.

The Acquisitions were accounted for as purchases  whereby  the  purchase  prices
were  allocated  to the assets acquired and liabilities assumed based upon their
respective fair market  values  at  the  date  of acquisition.  The accompanying
financial statements reflect preliminary allocations of the purchase prices,  as
the purchase price allocations have not been finalized.  The Company is awaiting
certain financial information regarding assets acquired and liabilities assumed,
including  final  appraisals  on  property  acquired  and  valuations on certain
assumed liabilities.   Included  in  the  preliminary  allocation  of the Hawaii
Acquisition was an estimated $14.6 million present value of the BHP Note.

                                       6

The effects of accelerated payments under the BHP Note, if  required,  would  be
accounted  for as additional costs of the acquired assets and amortized over the
remaining life of the assets.

Under purchase accounting, financial results  of BHP Hawaii and Shell Washington
have been included in Tesoro's consolidated financial statements since the  date
of  acquisition.   Had  these  results  been  included in Tesoro's results since
January 1, 1997, and the Refinancing and Offerings completed (as defined in Note
C below), Tesoro's consolidated results for  the nine months ended September 30,
1998 on a pro forma basis would have reflected revenues  of  approximately  $1.7
billion,  earnings before extraordinary item of $26 million ($0.54 per basic and
$0.53 per diluted  share  after  preferred  dividends)  and  net earnings of $22
million ($0.40 per basic and $0.39 per diluted share after preferred dividends).
Tesoro's consolidated results for the nine months ended September 30, 1997, on a
pro forma basis would have reflected revenues of approximately $2.2 billion  and
net  earnings  of $28 million ($0.59 per basic and diluted share after preferred
dividends).

Exploration and Production

In August 1998, the Company purchased a 50% working interest in the Stiles Ranch
Field, which included 11,400 gross  acres  (5,750 net) located in Wheeler County
in the Texas Panhandle that are  adjacent  to  9,900  gross  acres  (3,750  net)
acquired earlier in the year.  The acquisition price included $8 million in cash
plus  the  conveyance of a 25% working interest in an undeveloped prospect owned
by the Company in South Texas.

In September 1998, the Company purchased  oil  and gas assets for $10.4 million,
which included a 25% to 50% working interest in eight producing wells and 37,500
gross (11,800 net) undeveloped acres in the Morrow gas play located  in  Wheeler
County  in  the  Texas  Panhandle.  Also included in the transaction were 14,400
gross (6,200 net) undeveloped acres  in  prospective  areas of the onshore Texas
Gulf Coast.

Also in 1998, the Company acquired additional interests in  43,300  gross  acres
(29,400  net)  for  $4.2 million, located primarily in the onshore Gulf Coast of
Texas and in Wheeler County in the Texas Panhandle.

NOTE C - LONG-TERM DEBT AND EQUITY

Interim Credit Facility and Senior Credit Facility

In conjunction with closing  the  Hawaii  Acquisition  (see  Note B), on May 29,
1998, Tesoro refinanced substantially all of its then-existing indebtedness (the
"Refinancing").   The  Company  recorded  an   extraordinary   loss   on   early
extinguishment  of  debt  of  approximately  $7.0  million  pretax ($4.6 million
aftertax, or $0.17 per basic and  diluted  share) for the Refinancing during the
second quarter of 1998.

The total amount of funds required by Tesoro to complete the Hawaii  Acquisition
and  the Refinancing, to pay related fees and expenses and for general corporate
purposes was approximately $432  million,  which  was financed through a secured
credit facility (the "Interim Credit Facility") provided  by  Lehman  Commercial
Paper  Inc.  ("LCPI"),  an  affiliate of Lehman Brothers Inc. The Interim Credit
Facility replaced the Company's  previous  corporate revolving credit agreement.
In the third quarter of 1998, the Company refinanced all  borrowings  under  the
Interim  Credit Facility with net proceeds from the Offerings (as defined below)
and borrowings under the Senior Credit Facility (as defined below).

On July 2, 1998, and in  connection  with the Notes Offering (defined below) and
the Washington Acquisition, the Company entered into a  senior  credit  facility
(the "Senior Credit Facility") with a group of lenders led by LCPI in the amount
of  $500  million.   The  Senior  Credit  Facility  is  comprised  of  term loan
facilities aggregating $200 million (two  $100  million tranches, the "Tranche A
Term Loans" and the "Tranche B Term Loan") and a $300 million  revolving  credit
facility  (the  "Revolver").   In  addition,  the  Company  may borrow up to $50
million under the Tranche A Term Loans, in  up to five draws, for a period of up
to six months following July 2, 1998.  The Senior Credit Facility is  guaranteed
by  substantially  all  of the Company's active direct and indirect subsidiaries
(the "Guarantors") and is secured by substantially all of the domestic assets of
the Company and each of the Guarantors.  The Senior Credit Facility requires the
Company to  maintain  specified  levels  of  consolidated  leverage and interest
coverage and contains other  covenants  and  restrictions  customary  in  credit
arrangements of this kind.  The terms of the Senior

                                       7

Credit  Facility  allow  for  payment  of cash dividends on the Company's Common
Stock not to exceed an aggregate of  $10  million in any year and also allow for
payment of required dividends on its  7.25%  Mandatorily  Convertible  Preferred
Stock.

The  Revolver  and  the  Tranche  A  Term  Loans bear interest, at the Company's
election, at either the Base  Rate  (as  defined  in the Senior Credit Facility)
plus a margin ranging from 0.00% to 0.625% or the Eurodollar Rate (as defined in
the Senior Credit Facility) plus a margin ranging from 1.125%  to  2.125%.   The
Tranche  B  Term  Loan  bears interest, at the Company's election, at either the
Base Rate plus a margin ranging from 0.50% to 0.625% or the Eurodollar Rate plus
a margin ranging from 2.00% to 2.125%.  Provisions of the Senior Credit Facility
require prepayments to the Tranche A  Term  Loans  and Tranche B Term Loan, with
customary exceptions, in an amount equal to 100% of the net proceeds of  certain
incurred  indebtedness, 100% of the net proceeds received by the Company and its
subsidiaries (other than certain net proceeds  reinvested in the business of the
Company or its subsidiaries) from  the  disposition  of  any  assets,  including
proceeds  from  the  sale  of  stock  of any of the Company's subsidiaries and a
percentage of excess cash flow, depending on certain credit statistics.

In  addition  to  funding  the   cash  consideration  of  the  Acquisitions  and
Refinancing, the Senior Credit  Facility  provides  the  Company  with  enhanced
financial  flexibility, such as increased working capital capacity and funds for
general corporate purposes.

Equity Offerings

On May 4,  1998,  the  Company  filed  a  universal shelf registration statement
("Universal Shelf Registration Statement") with the SEC for $600 million of debt
or equity securities  for  acquisitions  or  general  corporate  purposes.   The
Universal  Shelf Registration Statement was declared effective by the SEC on May
14, 1998.  The Company  offered  Premium  Income  Equity Securities ("PIES") and
Common Stock (collectively, the "Equity Offerings")  from  the  Universal  Shelf
Registration Statement to provide partial funding for the Acquisitions discussed
in  Note  B.  On  July  1, 1998, the Company issued 9,000,000 PIES, representing
fractional interests in  the  Company's  7.25% Mandatorily Convertible Preferred
Stock, with gross proceeds of approximately $143.4 million, and 5,000,000 shares
of Common Stock, with gross proceeds of $79.7 million.   Upon  exercise  of  the
over-allotment  options  granted to the underwriters of the Equity Offerings, on
July 8, 1998, the Company  issued  1,350,000  PIES  with gross proceeds of $21.5
million and 750,000 shares of Common Stock with gross proceeds of $11.9 million.
Holders of PIES are  entitled  to  receive  a  cash  dividend.   The  PIES  will
automatically  convert  into  shares  of Common Stock on July 1, 2001, at a rate
based upon a formula dependent  upon  the  market price of Common Stock.  Before
July 1, 2001, each PIES is convertible, at the option  of  the  holder  thereof,
into 0.8455 shares of Common Stock, subject to adjustment in certain events.

Notes Offering

On  July  2,  1998,  concurrently  with  the  syndication  of  the Senior Credit
Facility, the Company  issued  $300  million  aggregate  principal  amount of 9%
Senior Subordinated Notes ("Senior Subordinated Notes")  due  2008  (the  "Notes
Offering",  and  together  with the Equity Offerings, the "Offerings") through a
private offering eligible for Rule  144A.  The  Senior Subordinated Notes have a
ten-year maturity without sinking fund requirements and are subject to  optional
redemption by the Company after five years at declining premiums.  The indenture
(the  "Indenture")  for  the  Senior  Subordinated  Notes contains covenants and
restrictions which are customary  for  notes  of  this nature.  The restrictions
under the Indenture are  less  restrictive  than  those  in  the  Senior  Credit
Facility.   To  the extent the Company's fixed charge coverage ratio, as defined
in the Indenture,  allows  for  the  incurrence  of additional indebtedness, the
Company will be allowed to pay cash dividends on Common Stock.

On August 7, 1998, a Registration Statement was declared effective  by  the  SEC
whereby  the  Company  offered, upon the terms and subject to the conditions set
forth in the related  Prospectus,  to  exchange  $1,000  principal amount of its
registered 9% Senior Subordinated  Notes  due  2008,  Series  B  (the  "Exchange
Notes"),  for  each  $1,000 principal amount of its unregistered and outstanding
Senior Subordinated  Notes  due  2008.   The  terms  of  the  Exchange Notes are
identical in all material respects to  the  terms  of  the  Senior  Subordinated
Notes,  except  as  described  in  the  Prospectus.   The  offer to exchange was
completed in September 1998.

                                       8

Borrowings under the Senior Credit Facility, together with the net proceeds from
the Offerings, were used  to  fund  the  cash  purchase  price of the Washington
Acquisition, to refinance the Interim Credit Facility (a portion  of  which  was
used  to  finance  the  Hawaii  Acquisition),  to  pay certain fees and expenses
related to these  transactions  and  for  general  corporate purposes (including
working capital requirements and capital expenditures).

Other

In connection with filing the Universal  Shelf  Registration  Statement  in  May
1998,  the  Company's  Board of Directors approved terminating the repurchase of
Tesoro's Common Stock under a repurchase program that was initiated in May 1997.

At the 1998 Annual Meeting of Stockholders  held on July 29, 1998, the Company's
shareholders approved,  among  other  proposals,  to  (i)  amend  the  Company's
Restated  Certificate  of  Incorporation  to  increase  the number of authorized
shares of the Company's  Common  Stock  from  50,000,000 to 100,000,000 and (ii)
increase the number of shares which can be granted under the  Company's  Amended
and Restated Executive Long-Term Incentive Plan from 2,650,000 to 4,250,000.

                                       9

NOTE D - BUSINESS SEGMENTS

The  Company  has adopted SFAS No. 131 which establishes standards for reporting
information about operating segments in annual financial statements and requires
that selected information  be  included  in  interim financial reports.  Segment
operating  profit  includes  those  revenues  and  expenses  that  are  directly
attributable to management of the respective segment.  For the periods presented
below, revenues were generated from sales to external customers and  there  were
no  intersegment  revenues.   Segment  information for the three months and nine
months ended September 30, 1998 and 1997 is as follows (in millions):



                                                                            Three Months Ended       Nine Months Ended
                                                                              September 30,            September 30,
                                                                            ------------------       -----------------
                                                                             1998       1997          1998       1997
                                                                             ----       ----          ----       ----
                                                                                                    
Refining and Marketing:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . . .   $  424.7   $  198.8      $  772.5   $  535.0
 Operating costs and other . . . . . . . . . . . . . . . . . . . . . .      397.7      188.0         711.7      509.0
 Depreciation and amortization . . . . . . . . . . . . . . . . . . . .        7.9        3.4          15.2        9.7
                                                                            -----      -----         -----      -----
  Total Refining and Marketing Segment Operating Profit. . . . . . . .       19.1        7.4          45.6       16.3
                                                                            -----      -----         -----      -----
Exploration and Production:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . . .       19.3       19.7          63.1       61.7
 Other income (expense). . . . . . . . . . . . . . . . . . . . . . . .         -          -           21.8        4.1
 Operating costs and other . . . . . . . . . . . . . . . . . . . . . .        3.6        2.9          11.0        8.7
 Depreciation, depletion and amortization. . . . . . . . . . . . . . .        9.3        7.5          28.7       23.2
                                                                            -----      -----         -----      -----
  Total Exploration and Production Segment Operating
   Profit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        6.4        9.3          45.2       33.9
                                                                            -----      -----         -----      -----
Marine Services:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . . .       28.5       32.5          90.4       98.3
 Operating costs and other . . . . . . . . . . . . . . . . . . . . . .       24.7       29.4          82.1       93.0
 Depreciation and amortization . . . . . . . . . . . . . . . . . . . .        0.7        0.4           1.8        1.2
                                                                            -----      -----         -----      -----
         Total Marine Services Segment Operating Profit. . . . . . . .        3.1        2.7           6.5        4.1
                                                                            -----      -----         -----      -----
Total Segment Operating Profit . . . . . . . . . . . . . . . . . . . .   $   28.6    $  19.4      $   97.3   $   54.3
                                                                            =====      =====         =====      =====



Total assets for each operating segment are as follows (in millions):
                                                                          September 30,  December 31,
                                                                              1998           1997
                                                                          -------------  ------------

                                                                                       
Refining and Marketing . . . . . . . . . . . . . . . . . . . . . . .     $  1,087.5     $    337.4
Exploration and Production . . . . . . . . . . . . . . . . . . . . .          284.0          209.0
Marine Services. . . . . . . . . . . . . . . . . . . . . . . . . . .           61.3           59.3
                                                                            -------        -------
 Total Segment Assets. . . . . . . . . . . . . . . . . . . . . . . .     $  1,432.8     $    605.7
                                                                            =======        ======


NOTE E - COMMITMENTS AND CONTINGENCIES

Environmental

The Company is subject to extensive  federal, state and local environmental laws
and regulations.  These laws, which change frequently, regulate the discharge of
materials into the environment and may require the Company to remove or mitigate
the environmental effects of the disposal or release of  petroleum  or  chemical
substances   at   various   sites   or  install  additional  controls  or  other
modifications or changes in use  for  certain  emission sources.  The Company is
currently involved with a waste disposal site near Abbeville, Louisiana and  the
Casmalia  Disposal  Site  in  Santa Barbara County, California.  The Company has
been named a potentially responsible  party  ("PRP") under Federal Superfund law
at both sites.  Although this law might impose joint and several liability  upon
each  party  at  the  sites,  the  extent  of  the Company's allocated financial
contributions for cleanup is expected to be  de minimis based upon the number of
companies, volumes of waste involved and total estimated  costs  to  close  each
site.   The  Company  is  currently  involved in settlement discussions with the
Environmental Protection Agency ("EPA") and other PRPs

                                       10

pertaining  to  the  Abbeville  Site.   The  Company  believes,  based  on these
discussions, that its liability will not exceed $25,000.  The  Company  believes
that its liability at the Casmalia Site is de minimus based on the EPA's October
14,  1998  notification.  The Company is also involved in remedial responses and
has incurred cleanup  expenditures  associated  with  environmental matters at a
number of sites, including certain of its current and prior-owned properties.

At September 30, 1998, the Company's accruals for environmental expenses totaled
$11.4  million.   Based  on  currently  available  information,  including   the
participation  of  other  parties  or  former owners in remediation actions, the
Company believes these accruals to be adequate.

In connection with the Hawaii Acquisition  discussed  in Note B, the BHP Sellers
and the Company have executed a separate environmental  agreement,  whereby  the
BHP  Sellers have indemnified the Company for environmental costs arising out of
conditions which  existed  at  or  prior  to  closing.   This indemnification is
subject to a maximum limit of $9.5 million and expires after  a  period  of  ten
years.   Under  the  environmental  agreement,  the  first $5.0 million of these
liabilities will be the  responsibility  of  the  BHP  Sellers and the next $6.0
million will be shared on the basis of 75% by the BHP Sellers  and  25%  by  the
Company.   Certain environmental claims arising out of prior operations will not
be subject to the $9.5 million limit or the ten-year time limit.

Under the agreement related to  the  Washington Acquisition discussed in Note B,
Shell Refining Holding Company, a subsidiary  of  Shell  (the  "Shell  Seller"),
generally  has  agreed to indemnify the Company for environmental liabilities at
the Washington Refinery arising out of  conditions  which existed at or prior to
the closing date and identified by the Company prior to  August  1,  2001.   The
Company is responsible for environmental costs up to the first $0.5 million each
year,  after which the Shell Seller will be responsible for annual environmental
costs up to $1.0 million.  Annual costs greater than $1.0 million will be shared
on a 50%/50% basis  between  the  Company  and  the  Shell Seller, subject to an
aggregate maximum of $5.0 million and a ten-year term.

In addition to environmental expenses, the  Company  anticipates  it  will  make
capital  improvements  totaling approximately $10 million in 1998 and $7 million
in 1999 to comply with environmental  laws and regulations affecting its Alaska,
Hawaii, Pacific Northwest and  Gulf  Coast  operations.   In  addition,  capital
expenditures  for  alternate  secondary containment systems for existing storage
tank facilities in Alaska are estimated to  be $2 million in 1998 and $2 million
in 1999, with a remaining $ 5 million to be spent by the end of year 2002.

Conditions that require additional expenditures may exist  for  various  Company
sites,  including, but not limited to, the Company's refineries, retail stations
(current  and  closed  locations)  and  petroleum  product  terminals,  and  for
compliance with the Clean Air Act. The amount of such future expenditures cannot
currently be determined by the Company.

For further information regarding  environmental  matters, see Legal Proceedings
in Part II, Item 1, included herein.

Other

The Company's results for the nine months  ended  September  30,  1998  included
receipt totaling approximately $21 million pretax ($14 million aftertax) from an
operator  in the Bob West Field, representing funds that are no longer needed as
a contingency reserve for litigation.

On October 1, 1998, the Attorney General for the State of Hawaii filed a lawsuit
in the U.S. District  Court  for  the  District  of  Hawaii against thirteen oil
companies, including Tesoro Petroleum Corporation and Tesoro Hawaii Corporation,
alleging anti-competitive marketing practices in violation of Federal and  State
anti-trust  laws.   The  complaint  seeks injunctive relief and compensatory and
treble damages and civil penalties against all defendants in an amount in excess
of  $500  million.   The  Company  believes  that  it  has  not  engaged  in any
anti-competitive activities and that this proceeding is subject to the indemnity
provision of the Stock Sale Agreement between the BHP Sellers  and  the  Company
which provides for indemnification in excess of $2 million and not to exceed $65
million.  The Company will defend this litigation vigorously.

                                       11

NOTE F - LONG-TERM INCENTIVE COMPENSATION

1996 Incentive Compensation Strategy

In  June  1996,  the Company's Board of Directors unanimously approved a special
incentive compensation strategy in  order  to  encourage a longer-term focus for
all employees to  perform  at  an  outstanding  level.   The  strategy  provided
eligible  employees  with  incentives  to  achieve a significant increase in the
market price of the  Company's  Common  Stock.   Under the strategy, awards were
earned when the market price of the Company's Common Stock  reached  an  average
price per share of $20 or higher over 20 consecutive trading days after June 30,
1997  and  before  December  31, 1998 (the "Performance Target").  In connection
with this strategy, non-executive employees earned  cash bonuses equal to 25% of
their individual payroll amounts for the previous  twelve  complete  months  and
certain  executives  were  granted,  from  the  Company's  Amended  and Restated
Executive Long-Term Incentive Plan ("Incentive  Plan"), a total of 340,000 stock
options at an exercise price of $11.375 per share, the  fair  market  value  (as
defined  in  the Incentive Plan) of a share of the Company's Common Stock on the
date of grant, and  350,000  shares  of  restricted  Common  Stock, all of which
vested upon achieving the Performance Target.

On May 12, 1998, the Performance Target was achieved which resulted in a  pretax
charge  of  approximately  $20  million  ($10  million related to the vesting of
restricted stock awards and stock options and $10 million in cash) in the second
quarter of 1998.  The pretax  charge  included approximately $8 million in other
operating costs and expenses and approximately $12 million in other expense.  On
an after tax basis, the  charge  was  approximately  $13  million,  representing
approximately  5%  of  the  total  aggregate increase in shareholder value since
approval of the special incentive strategy in 1996.

1998 Performance Incentive Compensation Plan

In October 1998, the Company's Board  of Directors unanimously approved the 1998
Performance Incentive Compensation  Plan  (the  "Performance  Plan"),  which  is
intended  to  advance  the best interests of the Company and its stockholders by
directly targeting Company performance  to  align  with the ninetieth percentile
historical stock-price growth rate for the Company's peer group.   In  addition,
the  Performance  Plan  will  provide  the  Company's  employees with additional
compensation, contingent upon  achievement  of  the targeted objectives, thereby
encouraging  them  to  continue  in  the  employ  of  the  Company.   Under  the
Performance Plan, targeted objectives are comprised of the fair market value  of
the  Company's  Common  Stock  equaling or exceeding an average of $35 per share
(the "First Performance  Target")  and  $45  per  share (the "Second Performance
Target") on any 20 consecutive  trading  days  during  a  period  commencing  on
October  1, 1998 and ending on the earlier of September 30, 2002, or the date on
which the Second Performance Target is achieved (the "Performance Period").  The
Performance  Plan  has  several  tiers  of  awards,  with  the  award  generally
determined by job level.   Most  eligible  employees  have contingent cash bonus
opportunities of 25% of their annual "basic compensation"  (as  defined  in  the
Performance Plan) and three executive officers have contingent awards of phantom
stock.   Upon  achievement  of  the  First Performance Target, one-fourth of the
contingent awards will be  earned,  with  payout  deferred  until the end of the
Performance Period.  The remaining 75% will be earned only upon  achievement  of
the  Second  Performance  Target,  with  payout  occurring  30  days thereafter.
Employees will need to have at  least  one year of regular, full-time service at
the time the Performance Period ends in order to be eligible for a payment.  The
Company estimates that it will incur aftertax costs of approximately 1%  of  the
total aggregate increase in shareholder value if the First Performance Target is
reached  and  will  incur  an  additional  2%  aftertax  charge  if  the  Second
Performance Target is reached.

NOTE G - EARNINGS PER SHARE

Earnings per share have been calculated  in accordance with SFAS No. 128.  Basic
earnings per share is determined by dividing net earnings applicable  to  common
stock  by  the  weighted  average number of common shares outstanding during the
period.  The Company's  calculation  of  diluted  earnings  per share takes into
account the effect of potentially dilutive stock options outstanding during  the
period.  The assumed conversion of preferred stock to common stock for the three
months  and  nine  months  ended September 30, 1998 (approximately 8,750,000 and
2,917,000  shares,  respectively)  produced  an  anti-dilutive  result  and,  in
accordance with SFAS No.  128,  was  not  included  in the dilutive calculation.
Earnings per share calculations for the  three  months  and  nine  months  ended
September  30,  1998  and 1997 are presented below (in millions except per share
amounts):

                                       12



                                                              Three Months Ended     Nine Months Ended
                                                                  September 30,         September 30,
                                                              ------------------     -----------------
                                                                 1998      1997        1998      1997
                                                                 ----      ----        ----      ----
                                                                                   
Basic:
 Numerator:
  Earnings Before Extraordinary Item . . . . . . . . . . . .   $  7.8    $  8.0     $  24.7   $  23.8
  Extraordinary Loss on Extinguishments of Debt, Aftertax. .       -         -         (4.6)       -
                                                                ------    ------      ------    ------
  Net Earnings . . . . . . . . . . . . . . . . . . . . . . .      7.8       8.0        20.1      23.8
  Less Preferred Dividends . . . . . . . . . . . . . . . . .      3.0        -          3.0        -
                                                                ------    ------      ------    ------
  Net Earnings Applicable To Common. . . . . . . . . . . . .   $  4.8    $  8.0     $  17.1   $  23.8
                                                                ======    ======      ======    ======

 Denominator:
  Weighted Average Common Shares Outstanding . . . . . . . .     32.3      26.4        28.4      26.4
                                                                ======    ======      ======    ======

 Basic Earnings Per Share:
  Before extraordinary item. . . . . . . . . . . . . . . . .   $ 0.15    $ 0.30     $  0.77   $  0.90
  Extraordinary loss, aftertax . . . . . . . . . . . . . . .      -         -         (0.17)      -
                                                                ------    ------      ------    ------
  Net. . . . . . . . . . . . . . . . . . . . . . . . . . . .   $ 0.15    $ 0.30     $  0.60   $  0.90
                                                                ======    ======      ======    ======

Diluted:
 Numerator:
  Net Earnings Applicable to Common. . . . . . . . . . . . .   $  4.8    $  8.0     $  17.1   $  23.8
  Plus Income Impact of Assumed Conversions of
   Preferred Stock (only if dilutive) <F1> . . . . . . . . .       -         -           -         -
                                                                ------    ------      ------    ------
  Net Earnings . . . . . . . . . . . . . . . . . . . . . . .   $  4.8    $  8.0     $  17.1   $  23.8
                                                                ======    ======      ======    ======

 Denominator:
  Weighted Average Common Shares Outstanding . . . . . . . .     32.3      26.4        28.4      26.4
  Add Potential Dilutive Securities:
   Incremental dilutive shares from assumed conversion
     of stock options and other. . . . . . . . . . . . . . .      0.6       0.5         0.6       0.5
   Incremental dilutive shares from assumed conversion
     of preferred stock <F1> . . . . . . . . . . . . . . . .       -         -           -         -
                                                                ------    ------      ------    ------
  Total Diluted Shares . . . . . . . . . . . . . . . . . . .     32.9      26.9        29.0       26.9
                                                                ======    ======      ======    ======

 Diluted Earnings Per Share <F1>:
   Before extraordinary item . . . . . . . . . . . . . . . .   $ 0.15    $ 0.30     $  0.76   $   0.88
   Extraordinary loss, aftertax. . . . . . . . . . . . . . .       -         -        (0.17)        -
                                                                ------    ------      ------    ------
     Net . . . . . . . . . . . . . . . . . . . . . . . . . .   $ 0.15    $ 0.30     $  0.59   $   0.88
                                                                ======    ======      ======    ======
<FN>
<F1>  Anti-dilutive impact of assumed conversion of preferred stock into common stock is not considered in the calculation.


                                       13

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
         OF OPERATIONS

Those statements  in  the  Management's  Discussion  and  Analysis  that are not
historical in nature  should  be  deemed  forward-looking  statements  that  are
inherently   uncertain.    See  "Forward-Looking  Statements"  on  page  26  for
discussion of the factors which could  cause actual results to differ materially
from those projected in such statements.

GENERAL

The Company's strategy is  to  (i)  maximize  return  on  capital  employed  and
increase  the  competitiveness  of each of its business units by reducing costs,
increasing operating efficiencies and optimizing existing assets and (ii) expand
its overall market presence through a combination of internal growth initiatives
and selective acquisitions  which  are  both  accretive  to earnings and provide
significant  operational  synergies.   The  Company  plans  to  further  improve
profitability in the Refining and  Marketing  segment  by  enhancing  processing
capabilities,   strengthening   marketing  channels  and  improving  supply  and
transportation  functions.   In  the  Exploration  and  Production  segment, the
strategy includes evaluating ways in which the Company can continue to diversify
its oil and gas reserve base through both acquisitions and  the  drill  bit  and
enhanced  technical  capabilities.  The Company has made significant progress in
diversifying its U.S. operations to areas other  than the Bob West Field and has
taken steps to begin  serving  emerging  markets  in  South  America.   Improved
profitability  has  positioned the Marine Services segment to participate in the
consolidation of the industry by  pursuing  opportunities for expansion, as well
as optimizing existing operations.

Tesoro acquired the refining and marketing assets of two subsidiaries of BHP  in
May  1998  and acquired a refinery and related assets from a subsidiary of Shell
in August 1998.  The  Acquisitions  are  expected  to triple Tesoro's historical
annual revenues and  significantly  increase  the  scope  of  its  refining  and
marketing  operations.  Tesoro expects that the results of the Acquisitions will
be accretive to earnings and cash  flows  beginning  in 1999.  The impact of the
Acquisitions on earnings and cash flows may be neutral in 1998 primarily due  to
the  mid-year timing of the Acquisitions and a planned maintenance turnaround at
the Hawaii Refinery in the summer of  1998.  The Company believes that there are
significant cost saving  and  revenue  enhancement  opportunities  available  by
integrating  the  Hawaii  Refinery  and  Washington  Refinery  with  its Alaskan
operations and has currently  identified  $25  million  of potential annual cost
saving and revenue enhancing synergies.  Management expects to begin to  realize
such  synergies  in the fourth quarter of 1998 with the full annual impact to be
achieved in the fiscal year ending December 31, 1999.  The Company will continue
to  pursue  other  opportunities   that  are  operationally  and  geographically
complementary with its asset base.

The Company operates in an environment where its  results  and  cash  flows  are
sensitive  to  volatile  changes  in energy prices.  Major shifts in the cost of
crude oil used for refinery  feedstocks  and  the  price of refined products can
result in a change in margin from the  Refining  and  Marketing  operations,  as
prices  received  for  refined products may or may not keep pace with changes in
crude oil  costs.   These  energy  prices,  together  with  volume  levels, also
determine the carrying value of crude oil and refined  product  inventory.   The
Company   uses   the  last-in,  first-out  ("LIFO")  method  of  accounting  for
inventories of crude oil and U.S. wholesale refined products in its Refining and
Marketing segment.  This method results  in  inventory carrying amounts that are
less likely to represent current values and in costs of sales which more closely
represent current costs.  Similarly, changes in natural gas, condensate and  oil
prices  impact  revenues  and the present value of estimated future net revenues
and cash flows from  the  Company's  Exploration and Production operations.  The
Company may increase or decrease its  natural  gas  production  in  response  to
market  conditions.   The carrying value of oil and gas assets may be subject to
noncash write-downs based on changes in natural gas prices and other determining
factors.  Changes in crude oil and  natural  gas prices also influence the level
of drilling activity in the Gulf  of  Mexico.   The  Company's  Marine  Services
operation,  whose  customers  include  offshore drilling contractors and related
industries, could be  impacted  by  significant  fluctuations  in  crude oil and
natural gas prices.  The Company's Marine Services segment  uses  the  first-in,
first-out  ("FIFO")  method  of accounting for inventories of fuels.  Changes in
fuel prices can significantly impact inventory  valuations and costs of sales in
this segment.

                                       14

RESULTS OF OPERATIONS - THREE  MONTHS  AND  NINE MONTHS ENDED SEPTEMBER 30, 1998
COMPARED WITH THREE MONTHS AND NINE MONTHS ENDED SEPTEMBER 30, 1997

SUMMARY

Tesoro's net earnings of $7.8 million  for  the three months ended September 30,
1998 ("1998 Quarter") compare with net earnings of $8.0 million  for  the  three
months  ended  September  30, 1997 ("1997 Quarter").  Net earnings per share for
the 1998 Quarter  were  $0.15  (basic  and  diluted), after preferred dividends,
compared to $0.30 (basic and diluted) in the 1997 Quarter.   The  Company's  net
earnings   remained  relatively  unchanged  from  quarter  to  quarter.   Higher
downstream profits from the Company's refining and marketing and marine services
operations, together with increased production in its Exploration and Production
segment, were substantially offset by  the  impact of lower Bolivian natural gas
prices and increased interest and financing costs.  On a per  share  basis,  the
Company's  net  earnings  were  reduced  by dividends on preferred stock and the
impact of issuing additional shares of Common Stock during the quarter.

For the year-to-date period,  net  earnings  of  $20.1  million ($0.60 per basic
share, $0.59 per diluted share) for the nine months  ended  September  30,  1998
("1998  Period")  compare  with  net  earnings of $23.8 million ($0.90 per basic
share, $0.88 per diluted share)  for  the  nine  months ended September 30, 1997
("1997 Period").  Significant  items  which  affect  the  comparability  between
results for 1998 and 1997 are highlighted in the table below (in millions except
per share amounts):



                                                                     Three Months Ended      Nine Months
                                                                       September 30,        September 30,
                                                                     -------------------   ----------------
                                                                      1998      1997       1998       1997
                                                                      ----      ----       ----       ----

                                                                                         
Net Earnings as Reported . . . . . . . . . . . . . . . . . . . .   $   7.8   $   8.0     $  20.1   $  23.8
Extraordinary Loss on Debt Extinguishments, Net of Income Tax
 Benefit . . . . . . . . . . . . . . . . . . . . . . . . . . . .        -         -          4.6        -
                                                                     ------    ------      ------    ------
Earnings Before Extraordinary Item . . . . . . . . . . . . . . .       7.8       8.0        24.7      23.8
                                                                     ------    ------      ------    ------
Significant Items Affecting Comparability, Pretax:
 Income from receipt of contingency funds from an operator . . .        -         -         21.3        -
 Charge for special incentive compensation strategy. . . . . . .        -         -        (19.9)       -
 Income from retroactive severance tax refunds . . . . . . . . .        -         -           -        1.8
 Income from collection of Bolivian receivable . . . . . . . . .        -         -           -        2.2
                                                                     ------    ------      ------    ------
  Total Significant Items, Pretax. . . . . . . . . . . . . . . .        -         -          1.4       4.0
  Income Tax Effect. . . . . . . . . . . . . . . . . . . . . . .        -         -          0.5       1.2
                                                                     ------    ------      ------    ------
  Total Significant Items, Aftertax. . . . . . . . . . . . . . .        -         -          0.9       2.8
                                                                     ------    ------      ------    ------
Net Earnings Excluding Significant Items and Extraordinary Item.       7.8       8.0        23.8      21.0
Preferred Dividend Requirements. . . . . . . . . . . . . . . . .       3.0        -          3.0        -
                                                                     ------    ------      ------    ------
Net Earnings Applicable to Common Stock, Excluding
 Significant Items and Extraordinary Items . . . . . . . . . . .   $   4.8   $   8.0     $  20.8   $  21.0
                                                                     ======    ======      ======    ======

Earnings Per Share - Basic:
 As reported . . . . . . . . . . . . . . . . . . . . . . . . . .   $  0.15   $  0.30     $  0.60   $  0.90
 Extraordinary loss. . . . . . . . . . . . . . . . . . . . . . .        -         -        (0.17)       -
 Effect of other significant items . . . . . . . . . . . . . . .        -         -         0.04      0.11
                                                                     ------    ------      ------    ------
 Excluding significant items and extraordinary item. . . . . . .   $  0.15   $  0.30     $  0.73   $  0.79
                                                                     ======    ======      ======    ======

Earnings Per Share - Diluted:
 As reported . . . . . . . . . . . . . . . . . . . . . . . . . .   $  0.15   $  0.30     $  0.59   $  0.88
 Extraordinary loss. . . . . . . . . . . . . . . . . . . . . . .        -         -        (0.17)       -
 Effect of other significant items . . . . . . . . . . . . . . .        -         -         0.04      0.10
                                                                     ------    ------      ------    ------
 Excluding significant items and extraordinary item. . . . . . .   $  0.15   $  0.30     $  0.72   $  0.78
                                                                     ======    ======      ======    ======


For  the  year-to-date  periods, excluding significant items, net earnings would
have been $20.8 million ($0.73 per basic share, $0.72 per diluted share) for the
1998 Period compared to $21.0 million  ($0.79 per basic share, $0.78 per diluted
share) for the 1997 Period.  The decrease in net earnings in the 1998 Period was
primarily due to higher interest and financing costs  and  income  taxes,  which
were substantially offset by increased refining and marketing results.

A  discussion  and analysis of the factors contributing to the Company's results
of operations are presented below.

                                       15



REFINING AND MARKETING
                                                                     Three Months Ended      Nine Months Ended
                                                                        September 30,          September 30,
                                                                     ------------------      -----------------
                                                                       1998       1997        1998       1997
                                                                       ----       ----        ----       ----
                                                                 (Dollars in millions except per barrel amounts)
                                                                                            
Gross Operating Revenues:
 Refined products. . . . . . . . . . . . . . . . . . . . . . . .   $  406.2   $  177.5    $  713.8   $  486.9
 Other, primarily crude oil resales and merchandise. . . . . . .       18.5       21.3        58.7       48.1
                                                                      -----      -----       -----      -----
  Gross Operating Revenues . . . . . . . . . . . . . . . . . . .   $  424.7   $  198.8    $  772.5   $  535.0
                                                                      =====      =====       =====      =====

Total Operating Profit:
 Gross margin:
  Refinery <F1><F2>. . . . . . . . . . . . . . . . . . . . . . .   $   99.3   $   30.4    $  182.4   $   85.3
  Non-refinery <F2>. . . . . . . . . . . . . . . . . . . . . . .        4.3        3.8        15.0        9.5
                                                                      -----      -----       -----      -----
   Total gross margins . . . . . . . . . . . . . . . . . . . . .      103.6       34.2       197.4       94.8
 Operating expenses and other. . . . . . . . . . . . . . . . . .       76.6       23.4       136.6       68.8
 Depreciation and amortization . . . . . . . . . . . . . . . . .        7.9        3.4        15.2        9.7
                                                                      -----      -----       -----      -----
  Segment Operating Profit . . . . . . . . . . . . . . . . . . .   $   19.1   $    7.4    $   45.6   $   16.3
                                                                      =====      =====       =====      =====

Capital Expenditures . . . . . . . . . . . . . . . . . . . . . .   $   13.7   $   11.8    $   20.9   $   30.6
                                                                      =====      =====       =====      =====

Refinery Throughput (thousands of barrels/day):
 Alaska. . . . . . . . . . . . . . . . . . . . . . . . . . . . .       58.6       43.2        58.2       48.2
 Hawaii <F3> . . . . . . . . . . . . . . . . . . . . . . . . . .       80.7         -         76.8         -
 Washington <F3> . . . . . . . . . . . . . . . . . . . . . . . .      106.6         -        106.6         -
                                                                      -----      -----       -----      -----
  Total Refinery Throughput                                           245.9       43.2       241.6       48.2
                                                                      =====      =====       =====      =====

Refined Products Manufactured (thousands of barrels per day) <F3>:
 Gasoline and gasoline blendstocks . . . . . . . . . . . . . . .       72.4       11.3        36.3       12.5
 Jet fuel. . . . . . . . . . . . . . . . . . . . . . . . . . . .       53.4       11.9        33.6       14.6
 Diesel fuel . . . . . . . . . . . . . . . . . . . . . . . . . .       29.9        6.1        14.6        5.8
 Heavy oils and residual products. . . . . . . . . . . . . . . .       48.3       12.6        29.1       14.1
 Other . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       13.4        1.9         6.6        2.5
                                                                      -----      -----       -----      -----
  Total Refined Products Manufactured. . . . . . . . . . . . . .      217.4       43.8       120.2       49.5
                                                                      =====      =====       =====      =====

Refinery Product Spread ($/barrel) . . . . . . . . . . . . . . .   $   5.14   $   7.65    $   5.74   $   6.48
                                                                      =====      =====       =====      =====

Segment Product Sales (thousands of barrels per day) <F3><F4>:
 Gasoline and gasoline blendstocks . . . . . . . . . . . . . . .       76.0       18.6        40.0       18.2
 Middle distillates. . . . . . . . . . . . . . . . . . . . . . .      100.9       37.8        60.3       30.1
 Heavy oils, residual products and other . . . . . . . . . . . .       50.1       13.8        31.8       17.7
                                                                      -----      -----       -----      -----
  Total Product Sales. . . . . . . . . . . . . . . . . . . . . .      227.0       70.2       132.1       66.0
                                                                      =====      =====       =====      =====

Total Segment Gross Margins on Product  Sales ($/barrel) <F5>:
 Average sales price . . . . . . . . . . . . . . . . . . . . . .   $  19.45   $  27.49    $   19.79  $  27.03
 Average costs of sales. . . . . . . . . . . . . . . . . . . . .      14.82      22.88        14.72     22.36
                                                                      -----      -----       -----      -----
  Gross Margin . . . . . . . . . . . . . . . . . . . . . . . . .   $   4.63   $   4.61    $    5.07  $   4.67
                                                                      =====      =====       =====      =====

<FN>
<F1>  Represents throughput at the Company's refineries times refinery product spread.
<F2>  Amounts reported for 1997  have  been  reclassified  to conform  with current presentation, primarily to
      reclassify retail margins and intrasegment transportation revenues from non-refinery to refinery product
      spread.  Non-refinery margin includes merchandise margins, margins on products purchased and resold, and
      adjustments due to selling a  volume  and  mix  of  products  that  is  different  than  actual  volumes
      manufactured.
<F3>  Sales  and  manufactured  volumes  for  1998  include  amounts  from  the acquired Hawaii and Washington
      operations since the date of acquisitions, averaged  over the periods presented.  Throughput volumes for
      the Hawaii and Washington refineries are since the date of acquisitions, averaged over the periods owned
      only.
<F4>  Sources of total products sales include products manufactured at the  refineries,  products  drawn  from
      inventory balances and products purchased from third parties.
<F5>  Gross  margins  on total product sales include margins on sales of purchased products, together with the
      effect  of  changes  in  inventories.   Amounts reported for 1997 have been reclassified to conform with
      current presentation.

                                       16

REFINING AND MARKETING

THREE MONTHS ENDED SEPTEMBER 30, 1998 COMPARED WITH THREE MONTHS ENDED SEPTEMBER
30, 1997.  Segment operating profit for the  Company's  Refining  and  Marketing
operations  was  $19.1 million in the 1998 Quarter, an increase of $11.7 million
from segment  operating  profit  of  $7.4  million  in  the  1997  Quarter.  The
improvement in results from Refining and Marketing was primarily due  to  higher
throughput  volumes,  primarily  stemming  from its recently acquired operations
(see Note  B  of  Notes  to  Condensed  Consolidated  Financial Statements), and
improved refined product yields in Alaska.  Higher sales  within  the  segment's
Alaska,   Hawaii   and  Northwest  markets  also  contributed  to  the  improved
profitability.

The  1998  Quarter  benefited from an expansion completed in October 1997 of the
Company's hydrocracker unit at its  Alaska  refinery, which increased the unit's
capacity by approximately 25% and enables the Company to produce more jet  fuel,
a  product  in  short supply in Alaska.  The expansion began to favorably impact
this segment's results in the fourth quarter of 1997.  Financial results for the
acquired operations have  been  included  since  the  dates of acquisition.  The
Hawaii Acquisition was completed on May 29, 1998 and the Washington  Acquisition
on  August  10,  1998.   The  acquired  operations contributed positively to the
segment's results for the  1998  Quarter,  but  are expected, after interest and
financing costs, to have a neutral impact for the year.

During the 1998 Quarter, throughput at the Alaska refinery increased  by  15,400
barrels  per  day, a 36% increase over the 1997 Quarter, which included a 30-day
maintenance turnaround.   Throughput  averaged  80,700  barrels  per  day at the
Hawaii Refinery and 106,600 barrels per day at the  Washington  Refinery  during
the 1998 Quarter.  The improved Alaska product slate, together with results from
the  acquired operations, contributed to a total refined product gross margin of
$4.63 per barrel in the 1998  Quarter  compared  to $4.61 per barrel in the 1997
Quarter.  Total product sales volumes tripled  to 227,000 barrels per day due to
the Acquisitions and higher throughput volumes.

Revenues  from  sales  of  refined  products  increased  during the 1998 Quarter
primarily due to the higher sales  and throughput volumes, partially offset by a
reduction in average sales prices.  Merchandise revenues increased in  the  1998
Quarter due to the Hawaii Acquisition, which included 32 retail stations.  Other
revenues included crude oil resales of $6.1 million in the 1998 Quarter compared
with  $12.3  million  in  the 1997 Quarter.  The increase in costs of sales also
reflected the higher  volumes  associated  with  the  Acquisitions and marketing
efforts in Alaska, partly  offset  by  lower  feedstock  prices.   Margins  from
non-refinery  activities  increased  to  $4.3  million  in  the 1998 Quarter due
primarily to higher merchandise  sales.   Operating expenses and other increased
during the 1998 Quarter primarily due to the Acquisitions.

NINE MONTHS ENDED SEPTEMBER 30, 1998 COMPARED WITH NINE MONTHS  ENDED  SEPTEMBER
30,  1997.   Segment operating profit from the Refining and Marketing operations
totaled $45.6 million in the 1998  Period  compared to $16.3 million in the 1997
Period.  As discussed above, this increase was  due  to  a  number  of  factors,
including  higher  throughput volumes from the Acquisitions and improved refined
product yields in Alaska.

During the 1998 Period, throughput  at  the  Alaska refinery increased by 10,000
barrels per day, a 21% increase over the 1997 Period.  Production of jet fuel at
this refinery increased by approximately 35% over the 1997  Period  due  to  the
hydrocracker  expansion  completed  in  October  1997  together  with the higher
throughput levels and an improved feedstock slate.  The improved refined product
yield, together with results from  the acquired operations, contributed to sales
volumes of 132,100 barrels per day and a refined product gross margin  of  $5.07
per  barrel  in  the  1998  Period.   Refined product gross margin was $4.67 per
barrel in the 1997 Period.

Revenues from sales of refined products  in the Company's Refining and Marketing
segment increased during the 1998  Period  due  to  the  Acquisitions  partially
offset  by  lower sales prices.  Other revenues included $29.9 million and $23.0
million in crude oil resales in  the  1998 Period and 1997 Period, respectively.
The increase in cost of sales was primarily due  to  higher  volumes  associated
with  the  Acquisitions  partly  offset  by  lower  feedstock costs.  Margins on
non-refinery activities  increased  to  $15.0  million  in  the  1998  Period as
compared to $9.5 million in the 1997 Period due primarily to higher  merchandise
sales.   Operating  expenses  and  other  were  higher  in  the  1998 Period due
primarily to the Acquisitions.

The Company's initiatives to enhance its product slate  and  sell  more  product
within  core  markets  have  improved the fundamental earnings potential of this
segment.   Certain  of  these  initiatives,  such  as  the  Alaska  hydrocracker
expansion and improved feedstock slate, were  completed in the fourth quarter of
1997.  Management expects that future quarters will continue to benefit from the
impact of these initiatives.  In addition, Tesoro expects that  the  results  of
the Acquisitions will be accretive to earnings and cash flows beginning in 1999.
The  revenues  and  scope  of  the  Refining  and  Marketing  segment  have been
significantly increased with the Acquisitions (see  Note B of Notes to Condensed
Consolidated Financial  Statements).   Future  profitability  of  this  segment,
however,  will  continue  to be influenced by market conditions, particularly as
these conditions influence costs of  crude  oil  relative to prices received for
sales of refined products, and other additional  factors  that  are  beyond  the
control of the Company.

                                       17



EXPLORATION AND PRODUCTION
                                                                       Three Months Ended        Nine Months Ended
                                                                         September 30,              September 30,
                                                                       ------------------        -----------------
                                                                       1998        1997           1998         1997
                                                                       ----        ----           ----         ----
                                                                    (Dollars in millions except per unit amounts)
                                                                                               
U.S. <F1>:
 Gross operating revenues. . . . . . . . . . . . . . . . . . .   $     16.5   $    15.9      $    54.3   $     53.3
 Other income. . . . . . . . . . . . . . . . . . . . . . . . .           -           -            22.3          1.9
 Production costs  . . . . . . . . . . . . . . . . . . . . . .          2.3         1.5            6.8          5.0
 Administrative support and other operating expenses . . . . .          0.4         0.6            1.4          1.7
 Depreciation, depletion and amortization. . . . . . . . . . .          8.5         7.0           26.7         22.2
                                                                   ---------    --------       --------    ---------
  Segment Operating Profit - U.S.. . . . . . . . . . . . . . .          5.3         6.8           41.7         26.3
                                                                   ---------    --------       --------    ---------

BOLIVIA:
 Gross operating revenues. . . . . . . . . . . . . . . . . . .          2.8         3.8            8.8          8.4
 Other income (expense). . . . . . . . . . . . . . . . . . . .           -           -            (0.5)         2.2
 Production costs. . . . . . . . . . . . . . . . . . . . . . .          0.3         0.3            0.8          0.7
 Administrative support and other operating expenses . . . . .          0.6         0.5            2.0          1.3
 Depreciation, depletion and amortization. . . . . . . . . . .          0.8         0.5            2.0          1.0
                                                                   ---------    --------       --------    ---------
  Segment Operating Profit - Bolivia . . . . . . . . . . . . .          1.1         2.5            3.5          7.6
                                                                   ---------    --------       --------    ---------

Total Segment Operating Profit - Exploration and Production. .   $      6.4   $     9.3      $    45.2   $     33.9
                                                                   =========    ========       ========    =========

U.S.:
 Average Daily Net Production:
  Natural gas (thousand cubic feet, "Mcf") . . . . . . . . . .       83,563      79,683         91,871       86,317
  Oil (barrels). . . . . . . . . . . . . . . . . . . . . . . .          239          93            223          119
   Total (thousand cubic feet equivalent, "Mcfe"). . . . . . .       84,997      80,241         93,209       87,031
 Average Prices:
  Natural gas ($/Mcf) <F2> . . . . . . . . . . . . . . . . . .   $     2.02   $    2.01      $    2.03   $     2.08
  Oil ($/barrel) . . . . . . . . . . . . . . . . . . . . . . .   $    11.07   $   18.23      $   12.46   $    19.44
 Average Operating Expenses ($/Mcfe):
  Lease operating expenses . . . . . . . . . . . . . . . . . .   $     0.27   $    0.21      $    0.23   $     0.18
  Severance taxes. . . . . . . . . . . . . . . . . . . . . . .         0.03          -            0.04         0.03
                                                                   ---------    --------       --------    ---------
   Total production costs. . . . . . . . . . . . . . . . . . .         0.30        0.21           0.27         0.21
  Administrative support and other . . . . . . . . . . . . . .         0.06        0.09           0.05         0.07
                                                                   ---------    --------       --------    ---------
   Total Operating Expenses. . . . . . . . . . . . . . . . . .   $     0.36   $    0.30      $    0.32   $     0.28
                                                                   =========    ========       ========    =========
 Depletion ($/Mcfe). . . . . . . . . . . . . . . . . . . . . .   $     1.07   $    0.93      $    1.03   $     0.92
                                                                   =========    ========       ========    =========
 Capital Expenditures. . . . . . . . . . . . . . . . . . . . .   $     38.0   $    16.3      $    76.5   $     32.5
                                                                   =========    ========       ========    =========

BOLIVIA:
 Average Daily Net Production:
  Natural gas (Mcf). . . . . . . . . . . . . . . . . . . . . .       31,921      26,856         27,083       18,452
  Condensate (barrels) . . . . . . . . . . . . . . . . . . . .          640         760            726          529
   Total (Mcfe). . . . . . . . . . . . . . . . . . . . . . . .       35,761      31,416         31,439       21,626
 Average Prices:
  Natural gas ($/Mcf). . . . . . . . . . . . . . . . . . . . .   $     0.76   $    1.13      $    0.84   $     1.20
  Condensate ($/barrel). . . . . . . . . . . . . . . . . . . .   $    11.47   $   15.00      $   12.83   $    16.23
 Average Operating Expenses ($/Mcfe):
  Production costs . . . . . . . . . . . . . . . . . . . . . .   $     0.07   $    0.10      $    0.09   $     0.11
  Administrative support and other . . . . . . . . . . . . . .         0.22        0.20           0.25         0.25
                                                                   ---------    --------       --------    ---------
   Total Operating Expenses. . . . . . . . . . . . . . . . . .   $     0.29   $    0.30      $    0.34   $     0.36
                                                                   =========    ========       ========    =========
 Depletion ($/Mcfe). . . . . . . . . . . . . . . . . . . . . .   $     0.22   $    0.19      $    0.22   $     0.18
                                                                   =========    ========       ========    =========
 Capital Expenditures. . . . . . . . . . . . . . . . . . . . .   $     15.2   $    20.0      $    26.7   $     26.0
                                                                   =========    ========       ========    =========

<FN>
<F1> Represents the Company's U.S. oil and gas operations combined with gas transportation activities.
<F2> Includes effects of the Company's natural gas  commodity  price agreements which amounted to gains of $0.09 per
     Mcf and $0.03 per Mcf for the three months and nine months ended September 30, 1998, respectively, and  a  loss
     of  $0.06  per Mcf for the nine months ended September 30, 1997.  There were no such gains or losses during the
     three months ended September 30, 1997.


                                       18

EXPLORATION AND PRODUCTION

U.S.

THREE MONTHS ENDED SEPTEMBER 30, 1998 COMPARED WITH THREE MONTHS ENDED SEPTEMBER
30, 1997.  Segment  operating  profit  from  the  Company's U.S. exploration and
production operations was $5.3 million in the 1998 Quarter  compared  with  $6.8
million  in the 1997 Quarter.  The decline in operating profit was primarily due
to higher depletion expenses  associated  with exploration activities and higher
production volumes.  The Company's U.S. production volumes increased 6% to  85.0
million cubic feet equivalents ("Mmcfe") per day in the 1998 Quarter compared to
80.2  Mmcfe  per day in the 1997 Quarter.  The Company's U.S. production outside
of the Bob West Field  rose  to  54%  of  total  U.S. production during the 1998
Quarter, as compared to 23% in the  1997  Quarter.   This  increase  was  mainly
attributable to the development of fields discovered in the Val Verde Basin, the
Upper Wilcox Trend and the  Frio/Vicksburg  Trend.  During the 1998 Quarter, the
Company acquired interests in the Texas Panhandle that are expected to  increase
the Company's net production in the 1998 fourth quarter by approximately 7 Mmcfe
per day.

Gross  operating  revenues  from the Company's U.S. operations increased by $0.6
million due to the higher  production,  while  natural gas prices remained flat.
Production costs per Mcfe increased from $0.21 to $0.30, primarily due to  lease
operating  expenses.   In the Bob West Field, aggregate lease operating expenses
remained relatively flat, while field  production  declined by 22 Mmcfe per day,
resulting in an increase in per unit lease  operating  expenses  from  $0.19  to
$0.26 per Mcfe.  Lease operating expenses at other fields remained flat at $0.27
per  Mcfe,  while  production  increased  by  27  Mmcfe  per day.  Depreciation,
depletion and amortization increased by  $1.5  million,  or 21%, due to a higher
depletion rate and increased volumes.  The higher depletion rate was the  result
of  the  Company's  emphasis on exploration.  Exploration costs represented more
than half of total 1998 drilling costs.

From time to time, the Company  enters into commodity price agreements to reduce
the risk caused by fluctuation in the prices of natural gas in the spot  market.
During  the  1998  Quarter, the Company used such agreements to set the price of
approximately 20% of the natural gas production  that it sold in the spot market
and recognized a gain of $0.7 million  ($0.09 per  Mcf)  related to  these price
agreements.   The  Company  did  not  have any such transactions during the 1997
Quarter.

NINE MONTHS ENDED SEPTEMBER 30,  1998  COMPARED WITH NINE MONTHS ENDED SEPTEMBER
30, 1997.  Segment operating profit of $41.7 million  from  the  Company's  U.S.
exploration  and  production  operations  in  the  1998 Period compares to $26.3
million in the 1997 Period.  Comparability between these periods was impacted by
certain significant items.  The  1997  Period included retroactive severance tax
refunds of $1.8 million, while the 1998 Period included income from  receipt  of
approximately $21.3 million from an operator in the Bob West Field, representing
funds  that  were  no  longer  needed  as  a contingency reserve for litigation.
Excluding  these  significant  items,  segment  operating  profit  decreased  by
approximately $4.1 million primarily due to  lower natural gas prices and higher
depreciation, depletion and amortization and operating expenses.

Gross operating revenues from the Company's U.S. operations  increased  by  $1.0
million as higher production volumes were generally offset by lower prices.  The
Company's  U.S.  production  averaged  93.2 Mmcfe per day in the 1998 Period, an
increase of 6.2 Mmcfe per  day  over  the  1997  Period.  Prices realized by the
Company on its spot natural gas production declined to $2.03 per Mcf in the 1998
Period from $2.08 per Mcf in the 1997 Period.  Lease operating  expenses,  which
increased from $4.4 million to $5.9 million, remained relatively flat in the Bob
West  Field  but were higher in other fields by $1.7 million.  Production in the
Bob West Field declined by 26 Mmcfe per day resulting in an increase in per unit
lease operating expenses from  $0.15  to  $0.23  per  Mcfe.  Production at other
fields increased by 32 Mmcfe per day resulting in a decrease in per  unit  lease
operating  expenses  from  $0.32 to $0.24 per Mcfe.  Depreciation, depletion and
amortization increased by $4.5 million, or  20%,  due to a higher depletion rate
and increased volumes.  The higher depletion rate was the  result  of  increased
exploration activities.

During the 1998 and 1997 Periods, the Company used commodity price agreements to
set  the  price  of  approximately 12% and 11%, respectively, of the natural gas
production that it sold in the  spot  market.  During the 1998 and 1997 Periods,
the Company realized a gain of $1.0 million ($0.03 per Mcf) and a loss  of  $1.6
million ($0.06 per Mcf), respectively, from these price agreements.

                                       19

BOLIVIA

THREE MONTHS ENDED SEPTEMBER 30, 1998 COMPARED WITH THREE MONTHS ENDED SEPTEMBER
30,  1997.   Segment  operating  profit  from  the Company's Bolivian operations
decreased $1.4 million from $2.5 million in  the 1997 Quarter to $1.1 million in
the 1998 Quarter.  This decrease in segment operating profit was  primarily  due
to  lower  natural  gas  and oil prices.  Bolivian natural gas prices, which are
contractually tied to posted New York  fuel  oil prices, fell 33% from $1.13 per
Mcf in the 1997 Quarter  to  $0.76  per  Mcf  in  the  1998  Quarter.   However,
production volumes increased from 31.4 Mmcfe per day to 35.8 Mmcfe per day .

NINE  MONTHS  ENDED SEPTEMBER 30, 1998 COMPARED WITH NINE MONTHS ENDED SEPTEMBER
30, 1997.   Segment  operating  profit  from  the  Company's Bolivian operations
decreased $4.1 million from $7.6 million in the 1997 Period to $3.5  million  in
the  1998 Period.  The 1997 Period included other income of $2.2 million related
to the collection  of  the  receivable  discussed  above.   Excluding this other
income, segment operating profit for the 1998 Period decreased by  $1.9  million
from the 1997 Period primarily due to the decline in natural gas prices together
with a charge for prior period taxes.  Bolivian natural gas prices fell 30% from
$1.20  per  Mcf  in  the  1997  Period  to  $0.84 per Mcf in the 1998 Period and
condensate prices fell from  $16.23  to  $12.83 per barrel.  However, production
volumes increased from 21.6 Mmcfe per day to 31.4 Mmcfe per day resulting in  an
overall revenue increase of $0.4 million.  The Company's share of net production
increased in the 1998 Period as a result of the July 1997  buyout  of  interests
held  by  its  former  joint  venture  participant, and the remaining production
difference resulted in  part  from  production  constraints  in  the 1997 Period
arising from repairs to a non-Company-owned pipeline that  transports  gas  from
Bolivia  to Argentina.  The increase in depreciation, depletion and amortization
was due to the higher production volumes and a higher depletion rate.

A lack of market access has constrained natural gas production in Bolivia.   The
Company  believes  that  the completion of a 1,900-mile pipeline from Bolivia to
Brazil will provide access to  larger gas-consuming markets.  Upon completion of
this pipeline,  the  Company  will  face  intense  competition  from  major  and
independent  natural  gas  companies  operating  in  Bolivia  for a share of the
contractual volumes to  be  exported  to  Brazil.   It  is anticipated that each
producer's share of the contractual volumes will be allocated by YPFB  according
to  a number of factors, including the producer's reserve volumes and production
capacity.  Although the Company expects gas  deliveries on the pipeline to begin
in 1999, there can be no assurance that the pipeline will  be  operational  next
year.   With  the  exception  of  the  volumes currently under contract with the
Bolivian government, the Company cannot  be  assured of the amount of additional
volumes that will be exported to Brazil upon completion of the pipeline.

The productive capacity of the Company's wells  in  Bolivia,  including  shut-in
wells,  is  approximately  120  Mmcf  per day gross.  At September 30, 1998, the
Company had four wells in progress  as  part  of a five-well program designed to
increase proved reserves.  In addition, an affiliate of Total, S.A. has spud the
first well pursuant to  a  farmout  agreement  covering  the  Company's  acreage
located in the Andes mountains.

                                       20



MARINE SERVICES
                                            Three Months Ended    Nine Months Ended
                                               September 30,         September 30,
                                            ------------------    -----------------
                                              1998      1997        1998      1997
                                              ----      ----        ----      ----
                                                     (Dollars in Millions)
                                                                 
Gross Operating Revenues:
 Fuels . . . . . . . . . . . . . . . . .   $  21.4   $  25.2     $  69.7   $  77.6
 Lubricants and other. . . . . . . . . .       4.0       4.2        11.9      12.3
 Services. . . . . . . . . . . . . . . .       3.1       3.1         8.8       8.4
                                             -----     -----       -----     -----
  Gross Operating Revenues . . . . . . .      28.5      32.5        90.4      98.3
Costs of Sales . . . . . . . . . . . . .      17.8      22.9        60.8      72.6
                                             -----     -----       -----     -----
  Gross Profit . . . . . . . . . . . . .      10.7       9.6        29.6      25.7
Operating Expenses and Other . . . . . .       6.9       6.5        21.3      20.4
Depreciation and Amortization. . . . . .       0.7       0.4         1.8       1.2
                                             -----     -----       -----     -----
    Segment Operating Profit . . . . . .   $   3.1   $   2.7     $   6.5   $   4.1
                                             =====     =====       =====     =====

Sales Volumes (millions of gallons):
 Fuels, primarily diesel . . . . . . . .      43.8      39.1       135.3     116.2
 Lubricants. . . . . . . . . . . . . . .       0.5       0.7         1.7       2.0

Capital Expenditures . . . . . . . . . .   $   0.4   $   2.0     $   3.0   $   5.3



Gross operating revenues in the Marine Services segment declined by $4.0 million
and  $7.9  million  during  the  1998  Quarter  and  1998  Period, respectively,
primarily due to lower  fuel  sales  prices,  partially offset by increased fuel
volumes.  The decreases in costs of sales also reflected the lower fuel  prices.
Despite lower rig activity in the Gulf of Mexico, total segment operating profit
improved  by  $0.4 million and $2.4 million in the 1998 Quarter and 1998 Period,
respectively, largely due to the higher fuel volumes and margins.

The Marine Services segment's business  is  largely dependent upon the volume of
oil and gas drilling, workover, construction and seismic activity in the Gulf of
Mexico.

GENERAL AND ADMINISTRATIVE

General and administrative expenses increased by $1.1 million and  $2.1  million
during the 1998 Quarter and 1998 Period, respectively.  These increases included
higher  employee costs and professional fees due in part to the installation and
implementation of an integrated software system.

INTEREST AND FINANCING COSTS

Interest and financing costs increased by  $9.0 million and $14.9 million during
the 1998 Quarter and 1998 Period, respectively.  These increases were  primarily
due  to higher borrowings under the Company's credit arrangements, including the
Senior Credit Facility and Senior  Subordinated  Notes, to fund the Acquisitions
and the Refinancing (see Notes B  and  C  of  Notes  to  Condensed  Consolidated
Financial  Statements)  and to fund net working capital requirements and capital
expenditures.

OTHER OPERATING COSTS AND OTHER EXPENSES

Other operating costs and other expense in  the 1998 Period included a charge of
$19.9 million for the special incentive compensation  strategy,  of  which  $7.9
million related to operating segment employees (see Note F of Notes to Condensed
Consolidated Financial Statements).

INCOME TAX PROVISION

The  income tax provision increased by $0.7 million and $4.8 million in the 1998
Quarter and 1998 Period, respectively.   The  effective  tax rate rose to 44% in
the 1998 Period from 38% in the 1997 Period primarily  due  to  higher  Bolivian
taxes and higher consolidated taxable earnings which reduced available state net
operating loss carryforwards.

                                       21

CAPITAL RESOURCES AND LIQUIDITY

OVERVIEW

The  Company's  primary  sources of liquidity are its cash and cash equivalents,
internal cash generation and  external  financing.   The  Company operates in an
environment where its liquidity and capital resources are impacted by changes in
the supply of and demand for  crude  oil,  natural  gas  and  refined  petroleum
products,  market  uncertainty and a variety of additional risks that are beyond
the  control  of  the  Company.  These risks include, among others, the level of
consumer product demand,  weather  conditions,  the  proximity  of the Company's
natural  gas  reserves  to  pipelines,  the  capacities   of   such   pipelines,
fluctuations  in  seasonal  demand,  governmental  regulations,  the  price  and
availability  of  alternative  fuels and overall market and economic conditions.
The Company's future capital expenditures as well as borrowings under its credit
arrangements and other sources of capital will be affected by these conditions.

CREDIT ARRANGEMENTS AND CAPITALIZATION

Refinancing and Offerings

In conjunction with closing the Hawaii Acquisition,  on  May  29,  1998,  Tesoro
completed  a  Refinancing  of  all of its then-existing indebtedness.  The total
amount of  funds  required  by  Tesoro  on  that  date  to  complete  the Hawaii
Acquisition and the Refinancing, to  pay  related  fees  and  expenses  and  for
general  corporate  purposes  was approximately $432 million, which was financed
through the Interim Credit Facility.   In  July 1998, the Company refinanced all
borrowings under  the  Interim  Credit  Facility  with  net  proceeds  from  the
Offerings and borrowings under the Senior Credit Facility.

On  July  2,  1998, and in connection with the Notes Offering and the Washington
Acquisition, the Company entered into  the  Senior Credit Facility in the amount
of $500  million.   In  addition  to  funding  the  cash  consideration  of  the
Acquisitions  and  Refinancing,  the Senior Credit Facility provides the Company
with enhanced financial flexibility, such  as increased working capital capacity
and funds for  general  corporate  purposes,  including  the  projected  capital
expenditures for 1998.

On  May 4, 1998, the Company filed a Universal Shelf Registration Statement with
the SEC for  $600  million  of  debt  or  equity  securities for acquisitions or
general corporate purposes.  The  Universal  Shelf  Registration  Statement  was
declared  effective  by  the  SEC on May 14, 1998.  The Company offered PIES and
Common Stock from the Universal  Shelf Registration Statement to provide partial
funding for the Acquisitions.  On July 1, 1998,  the  Company  issued  9,000,000
PIES,  representing  fractional  interests  in  the  Company's 7.25% Mandatorily
Convertible  Preferred  Stock,  with  gross  proceeds  of  approximately  $143.4
million, and 5,000,000 shares  of  Common  Stock,  with  gross proceeds of $79.7
million. Upon exercise of the over-allotment options granted to the underwriters
of the Equity Offerings, on July 8, 1998, the Company issued 1,350,000 PIES with
gross proceeds of $21.5 million and 750,000 shares of Common  Stock  with  gross
proceeds  of  $11.9  million.   Holders  of  PIES are entitled to receive a cash
dividend.  The PIES will automatically  convert  into  shares of Common Stock on
July 1, 2001, at a rate based upon a formula dependent upon the market price  of
Common  Stock.   Before July 1, 2001, each PIES is convertible, at the option of
the holder thereof, into 0.8455 shares of Common Stock, subject to adjustment in
certain events.

On July  2,  1998,  concurrently  with  the  syndication  of  the  Senior Credit
Facility, the Company issued $300 million aggregate principal amount  of  Senior
Subordinated Notes through a private offering eligible for Rule 144A. The Senior
Subordinated  Notes  have  a ten-year maturity without sinking fund requirements
and are subject  to  optional  redemption  by  the  Company  after five years at
declining premiums.  On August 7, 1998, a Registration  Statement  was  declared
effective  by the SEC whereby the Company offered, upon the terms and subject to
the conditions set forth in the related Prospectus, to exchange $1,000 principal
amount of  Exchange  Notes  for  each  $1,000  principal  amount  of  its Senior
Subordinated Notes.  The terms of  the  Exchange  Notes  are  identical  in  all
material  respects  to  the  terms  of  the Senior Subordinated Notes, except as
described in the Prospectus.  The  offer  to exchange was completed in September
1998.

Capitalization

After issuance of the Senior Subordinated Notes, Common Stock and PIES, entering
into the Senior  Credit  Facility  and  the  application  of  the  net  proceeds
therefrom, the Company's indebtedness as of September 30, 1998 was approximately
$490  million  (excluding  an additional $322 million available under the Senior
Credit Facility) with a debt-to-capitalization ratio of 45%.

                                       22

The Company's  primary  capital  requirements  are  expected  to include capital
expenditures, working capital and debt service.  The primary sources of  capital
are  expected  to  be  cash flow from operations and borrowings under the Senior
Credit Facility which incurs interest at variable rates.  Based upon current and
anticipated needs, the Company believes that available capital resources will be
adequate to meet anticipated future capital requirements.

The Senior Credit Facility, the Senior Subordinated Notes and PIES, as described
in Note C of Notes to Condensed Consolidated Financial Statements impose various
restrictions and covenants  on  the  Company  that  could  potentially limit the
Company's ability to respond to market conditions, to provide for  unanticipated
capital  investments,  to  raise  additional  debt  or equity capital or to take
advantage of business opportunities.

CAPITAL SPENDING (EXCLUDING AMOUNTS TO FUND ACQUISITIONS)

During the first nine months of 1998, the Company's capital expenditures totaled
$131 million  which  were  financed  with  internally-generated  cash flows from
operations and external financing.  Although capital expenditures for  the  year
had  been projected to exceed $220 million, actual capital spending will be less
due to a number of factors,  including  the timing of refining and marketing and
other capital projects.  Capital expenditures for the  remainder  of  the  year,
currently  estimated at $45 million to $55 million, are expected to be funded by
cash flows from operations  and  external  borrowings under the Company's credit
arrangements.

The Exploration  and  Production  segment  accounts  for  $139  million  of  the
projected  capital spending with $88 million planned for U.S. activities and $51
million  for  Bolivia.   Planned  U.S.  expenditures  include  $20  million  for
acquisitions, $32 million for development  drilling (participation in 27 wells),
$14 million for leasehold, geological  and  geophysical,  and  $22  million  for
exploratory  drilling  (participation  in  22  wells).  In Bolivia, the drilling
program is projected at $10 million for development drilling (two wells) and $22
million for exploratory drilling (three  wells),  with the remainder planned for
gathering lines  to  shut-in  wells,  workovers  and  three-dimensional  seismic
activity.   For the 1998 Period, actual U.S. expenditures in the Exploration and
Production segment were $76  million,  principally  for the participation in the
drilling of 16 development wells (15 completed), 18  exploratory  wells  (eleven
completed)  and  purchases  of interests in oil and gas properties.  In Bolivia,
capital spending for the 1998 Period totaled $27 million, primarily for drilling
four wells in progress.

Capital spending for the downstream  operations,  the Refining and Marketing and
Marine Services segments, are projected to range from $30 million to $40 million
for the year 1998, which includes retail marketing projects, improvements to the
refineries, environmental projects and equipment  and  facility  upgrades.   The
downstream  operations  spent  approximately  $24 million towards these projects
during the 1998 Period.

Capital expenditures for corporate  projects  are primarily directed towards the
installation and implementation of an integrated software system, which  totaled
$4  million  during the 1998 Period.  Another $2 million is expected to be spent
in this area during  the  remainder  of  1998,  with  $12 million to be expended
during 1999.

CASH FLOWS

Components of the Company's cash flows are set forth below (in millions):



                                                          Nine Months Ended
                                                            September 30,
                                                          -----------------
                                                          1998         1997
                                                          ----         ----
                                                              
Cash Flows From (Used In):
  Operating Activities . . . . . . . . . . . . . . .  $   98.7    $    71.1
  Investing Activities . . . . . . . . . . . . . . .    (659.4)       (98.2)
  Financing Activities . . . . . . . . . . . . . . .     555.8         11.7
                                                        -------      -------
Decrease in Cash and Cash Equivalents. . . . . . . .  $   (4.9)   $   (15.4)
                                                        =======      =======


Net cash from operating activities  of  $99  million  during  the  1998  Period,
compares  to $71 million during the 1997 Period.  Higher levels of earnings plus
depreciation,  depletion  and  amortization,  primarily  from  the Acquisitions,
together with favorable changes in working capital components contributed to the
increase in cash flows from operations during the 1998 period.  Net cash used in
investing  activities  of  $659  million  during  the   1998   Period   included
approximately $528 million for the Acquisitions and capital expenditures of $131
million.   Net  cash  from  financing  activities  of  $556 million included net
proceeds from the Offerings  of  $533  million, gross borrowings under revolving
credit lines and term loans of $901 million with $775 million of repayments, and
refinancing and payment of other debt of $92 million.  At  September  30,  1998,
the  Company's net working capital totaled $151 million, which included cash and
cash equivalents of $3 million.

                                       23

ENVIRONMENTAL

The Company is subject to extensive  federal, state and local environmental laws
and regulations.  These laws, which change frequently, regulate the discharge of
materials into the environment and may require the Company to remove or mitigate
the environmental effects of the disposal or release of  petroleum  or  chemical
substances   at   various   sites   or  install  additional  controls  or  other
modifications or changes in use  for  certain  emission sources.  The Company is
currently involved in remedial responses and has incurred  cleanup  expenditures
associated with environmental matters at a number of sites, including certain of
its  current  and  prior-owned properties.  At September 30, 1998, the Company's
accruals for environmental expenses  totaled  $11.4 million.  Based on currently
available information, including the participation of other  parties  or  former
owners in remediation actions, the Company believes these accruals are adequate.
In  addition  to  environmental  expenses,  the Company anticipates it will make
capital improvements totaling approximately $10  million  in 1998 and $7 million
in 1999 to comply with environmental laws and regulations affecting its  Alaska,
Hawaii,  Pacific  Northwest  and  Gulf  Coast  operations.  In addition, capital
expenditures for alternate  secondary  containment  systems for existing storage
tank facilities in Alaska are estimated to be $2 million in 1998 and $2  million
in 1999, with a remaining $ 5 million to be spent by the end of year 2002.

Conditions  that  require  additional expenditures may exist for various Company
sites, including, but not limited  to, the Company's refineries, retail stations
(current  and  closed  locations)  and  petroleum  product  terminals,  and  for
compliance with the Clean Air Act. The amount of such future expenditures cannot
currently be determined by the Company.

For further information on  environmental  and  other  contingencies,  including
environmental  matters  related  to  the  Acquisitions,  see  Note E of Notes to
Condensed Consolidated  Financial  Statements  in  Part  I,  Item  1,  and Legal
Proceedings in Part II, Item 1, included herein

OTHER

The Company's results for the 1998 Period reflected receipt of approximately $21
million pretax ($14 million aftertax) from an operator in the  Bob  West  Field,
representing  funds  that  are  no  longer  needed  as a contingency reserve for
litigation.  These proceeds were used to reduce debt levels.

In October 1998, the Company's Board  of Directors unanimously approved the 1998
Performance Incentive Compensation  Plan  (the  "Performance  Plan"),  which  is
intended  to  advance  the best interests of the Company and its stockholders by
directly targeting Company performance  to  align  with the ninetieth percentile
historical stock-price growth rate for the Company's peer group.   In  addition,
the  Performance  Plan  will  provide  the  Company's  employees with additional
compensation, contingent upon  achievement  of  the targeted objectives, thereby
encouraging  them  to  continue  in  the  employ  of  the  Company.   Under  the
Performance Plan, targeted objectives are comprised of the fair market value  of
the  Company's  Common  Stock  equaling or exceeding an average of $35 per share
(the "First Performance  Target")  and  $45  per  share (the "Second Performance
Target") on any 20 consecutive  trading  days  during  a  period  commencing  on
October  1, 1998 and ending on the earlier of September 30, 2002, or the date on
which the Second Performance Target is achieved (the "Performance Period").  The
Performance  Plan  has  several  tiers  of  awards,  with  the  award  generally
determined by job level.   Most  eligible  employees  have contingent cash bonus
opportunities of 25% of their annual "basic compensation"  (as  defined  in  the
Performance Plan) and three executive officers have contingent awards of phantom
stock.   Upon  achievement  of  the  First Performance Target, one-fourth of the
contingent awards will be  earned,  with  payout  deferred  until the end of the
Performance Period.  The remaining 75% will be earned only upon  achievement  of
the  Second  Performance  Target,  with  payout  occurring  30  days thereafter.
Employees will need to have at  least  one year of regular, full-time service at
the time the Performance Period ends in order to be eligible for a payment.  The
Company estimates that it will incur aftertax costs of approximately 1%  of  the
total aggregate increase in shareholder value if the First Performance Target is
reached  and  will  incur  an  additional  2%  aftertax  charge  if  the  Second
Performance Target is reached.

YEAR 2000 READINESS DISCLOSURE

The efficient operation of the  Company's  business is dependent on its computer
hardware, operating systems and software programs  (collectively,  "Systems  and
Programs").   These  Systems  and  Programs are used in several key areas of the
Company's  business,   including   production   and   distribution,  information
management  services  and  financial  reporting,   as   well   as   in   various
administrative  functions.   The  Company  has  been  evaluating its Systems and
Programs to identify potential year 2000  compliance problems, as well as manual
processes, external interfaces with customers and services supplied  by  vendors
to coordinate year 2000 compliance and conversion.  The Company has

                                       24

identified  and is replacing a number of Systems and Programs which are not year
2000 compliant.  The year  2000  problem  refers  to  the limitations of certain
existing hardware and software programs to recognize date sensitive  information
for  the  year  2000  and beyond.  Unless replaced or modified prior to the year
2000, such hardware and systems may  not properly recognize such information and
could generate erroneous data or cause a system to  fail  to  operate  properly.
Based on current information, the Company expects to attain year 2000 compliance
and  institute  appropriate  testing  of its modifications and replacements in a
timely fashion and in advance  of  the  year  2000 date change.  Modification or
replacement of the Company's Systems and Programs is being performed in-house by
company personnel as well as external consultants.

The Company believes  that,  with  hardware  replacement  and  modifications  to
existing software or conversions to new software, the year 2000 date change will
not  pose  a  significant operational problem for the Company.  However, because
most computer systems are, by their  very nature, interdependent, it is possible
that non-compliant third party computer systems or programs  may  not  interface
properly  with  the  Company's  computer  systems.   The  Company  has requested
assurance from third parties that  their  computers, systems or programs be year
2000 compliant.  The Company could, however, be adversely affected by  the  year
2000 problem if it or unrelated parties fail to successfully address this issue.

Management  of  the  Company  expects  that  expenses  and  capital expenditures
associated with the year 2000 compliance project will not have a material effect
on its business,  financial  condition  or  results  of operations.  The Company
estimates that it will spend approximately $1 million in 1998 and $4 million  in
1999  to  become year 2000 compliant.  The costs of year 2000 compliance and the
expected completion dates are the  best  estimates of Company management and are
believed to be reasonably accurate.  In the event the Company's plan to  address
the year 2000 problem is not successfully or timely implemented, the Company may
need  to  devote  more  resources  to  the  process  and additional costs may be
incurred.  Problems encountered by  the  Company's  vendors, customers and other
third parties may also have an  adverse  effect  on  the  Company's  operations.
Purchased  hardware  and  software will continue to be capitalized in accordance
with accounting policy.  Personnel and other costs will also be accounted for as
appropriate under accounting policy.

The  foregoing  statements  in  the  above paragraphs under "Year 2000 Readiness
Disclosure" herein are  intended  to  be  and  are  hereby designated "Year 2000
Readiness Disclosure" statements within the meaning of the Year 2000 Information
and Readiness Disclosure Act.

NEW ACCOUNTING STANDARDS

In February 1998, the Financial  Accounting Standards Board ("FASB") issued SFAS
No.  132,  "Employers'  Disclosures  about  Pensions  and  Other  Postretirement
Benefits," which standardizes the disclosures  related  to  pensions  and  other
postretirement   benefits   to   the  extent  practicable,  requires  additional
information on changes in the benefit obligations and fair values of plan assets
and eliminates certain disclosures  previously  required.   SFAS No. 132 becomes
effective for the Company in 1998 and contains  provisions  for  restatement  of
prior  period  information.   In  June  1998,  the  FASB  issued  SFAS  No. 133,
"Accounting  for   Derivative   Instruments   and   Hedging  Activities,"  which
establishes accounting  and  reporting  standards  for  derivative  instruments,
including  certain  derivative  instruments  embedded in other contracts and for
hedging  activities.   SFAS  No.  133  requires  that  an  entity  recognize all
derivatives as either assets  or  liabilities  in  the  statement  of  financial
position  and  measure  those  instruments  at  fair  value.  The accounting for
changes in the fair value of  a  derivative  depends  on the intended use of the
derivative and the resulting designation.  SFAS No. 133  is  effective  for  all
quarters of fiscal years beginning after June 15, 1999 and should not be applied
retroactively  to  financial  statements  of  prior  periods.   The  Company  is
evaluating  the  effects  that  these  new statements will have on its financial
condition, results of operations and financial reporting and disclosures.

                                       25

FORWARD-LOOKING STATEMENTS

This  Quarterly  Report  on  Form  10-Q  contains  certain  statements  that are
"forward-looking" statements within the meaning of Section 27A of the Securities
Act of 1933, as amended (the "Securities Act") and Section 21E of the Securities
Exchange Act of 1934, as amended (the "Exchange  Act").   These  forward-looking
statements  include,  among  other  things,  discussions  of anticipated revenue
enhancements and cost savings following the Acquisitions, the Company's business
strategy and  expectations  concerning  the  Company's  market  position, future
operations,   margins,   profitability,   liquidity   and   capital   resources,
expenditures for capital projects and attempts to reduce  costs.   Although  the
Company  believes that the assumptions upon which the forward-looking statements
contained in this Form 10-Q  are  based  are  reasonable, any of the assumptions
could prove to be inaccurate and, as a result,  the  forward-looking  statements
based  on  those  assumptions  also  could  be  incorrect.   All  phases  of the
operations of the Company  involve  risks  and  uncertainties, many of which are
outside the control of the Company and any one of which,  or  a  combination  of
which,  could  materially  affect  the  results  of the Company's operations and
whether the forward-looking statements  ultimately  prove to be correct.  Actual
results and trends in the future may differ materially depending on a variety of
factors including, but not limited to, the  timing  and  extent  of  changes  in
commodity  prices  and underlying demand and availability of crude oil and other
refinery feedstocks, refined products, and  natural  gas; changes in the cost or
availability of third-party vessels, pipelines and other means  of  transporting
feedstocks  and products; execution of planned capital projects; adverse changes
in the credit  ratings  assigned  to  the  Company's  trade  credit; future well
performance; the extent of the  Company's  success  in  acquiring  oil  and  gas
properties  and  in  discovering,  developing  and producing reserves; state and
federal environmental, economic, safety and  other policies and regulations, any
changes therein, and any legal or regulatory delays or other factors beyond  the
Company's  control;  adverse rulings, judgments, or settlements in litigation or
other legal matters,  including  unexpected  environmental  remediation costs in
excess of any reserves; actions of customers and competitors; weather conditions
affecting the Company's operations or the areas in which the Company's  products
are  marketed;  earthquakes  or  other  natural  disasters affecting operations;
political developments in foreign countries;  and  the conditions of the capital
markets and equity markets during the periods  covered  by  the  forward-looking
statements.   Future  results  will  also  be  dependent upon the ability of the
Company to integrate the Acquisitions with the Company's other operations.  Many
of the factors are described in greater detail in the Company's Annual Report on
Form 10-K for the  year  ended  December  31,  1997,  and other of the Company's
filings  with  the  SEC.   All  subsequent  written  and  oral   forward-looking
statements  attributable  to  the  Company  or  persons acting on its behalf are
expressly qualified in their entirety  by the foregoing.  The Company undertakes
no obligation to publicly release the  result  of  any  revisions  to  any  such
forward-looking  statements  that may be made to reflect events or circumstances
after the date hereof or to reflect the occurrence of unanticipated events.

                                       26

                          PART II - OTHER INFORMATION

ITEM 1.  LEGAL PROCEEDINGS

     Environmental.   On August 26, 1998, the United States Coast Guard issued a
     Notice of Federal Interest For  An  Oil Pollution Incident to Tesoro Hawaii
     Corporation ("Tesoro Hawaii"), a subsidiary of the Company,  in  connection
     with  an  oil  spill  which occurred on August 24, 1998, at Tesoro Hawaii's
     single point mooring at  Barbers  Point,  Oahu, Hawaii.  Tesoro Hawaii, the
     Coast Guard and the Hawaii Department of Health ("HDOH") responded  to  the
     spill  immediately  and  clean-up  efforts  have been completed.  Under the
     Federal Water Pollution Control Act and  the Oil Pollution Act of 1990, the
     responsible party is  liable  for  removal  costs  and  damages,  including
     damages from injury to natural resources and may be assessed administrative
     or  civil  penalties.   The Company carries insurance to provide protection
     against  pollution  damages.   The  Company   does  not  believe  that  the
     resolution of this oil spill will have a material  adverse  effect  on  the
     Company.

     On  October  2,  1998,  the Alaska Department of Environmental Conservation
     ("ADEC")  issued  a  Notice  of  Violation  ("NOV")  against  the Company's
     refinery in Alaska related to non-compliance with the facility air  quality
     permit.   This  NOV  alleges  that  an  air  emission treatment unit at the
     refinery groundwater treatment system did  not maintain the air contaminant
     removal efficiency rate required in the facility air quality  permit.   The
     Company has initiated discussions with the ADEC on this matter and does not
     believe  that the resolution thereof will have a material adverse effect on
     the Company.

     On October 19, 1998, the Company  received  notice from the EPA that it has
     been identified as a PRP under the  Comprehensive  Environmental  Response,
     Compensation  and Liability Act ("CERCLA") at the Casmalia Disposal Site in
     Santa Barbara County, California.  The site  is being remediated by the EPA
     pursuant to CERCLA Superfund law and the Resource Conservation and Recovery
     Act ("RCRA").  Although CERCLA imposes joint and several liability on PRPs,
     the extent of the Company's allocated financial contribution for cleanup is
     expected to be de minimis based on the volume of waste disposed of  at  the
     site  by  the  Company  as  identified  in  the  EPA's notice.  The Company
     believes that the aggregate amount of  its  liability at this site will not
     have a material adverse effect on the Company.

     On October 16, 1998, the HDOH issued a  Notice  of  Apparent  Violation  of
     Hawaii  state  law to Tesoro Hawaii in connection with a spill on September
     23, 1998.  During the loading  of  a  time-chartered barge, diesel fuel was
     spilled into the state waters at Barbers Point Harbor,  Oahu,  Hawaii.   It
     was  immediately  cleaned  up  by  the  charterer of the barge.  Hawaii law
     requires that appropriate action to  correct  an apparent violation must be
     taken and further provides for civil  penalties.   The  Company  has  taken
     corrective  action  and  does not believe that the resolution of the diesel
     fuel spill will have a material adverse effect on the Company.

     Other.  On October 1, 1998,  the  Attorney  General for the State of Hawaii
     filed a lawsuit in the U.S. District  Court  for  the  District  of  Hawaii
     against  thirteen oil companies, including Tesoro Petroleum Corporation and
     Tesoro Hawaii Corporation, alleging anti-competitive marketing practices in
     violation of  Federal  and  State  anti-trust  laws.   The  complaint seeks
     injunctive relief and compensatory and treble damages and  civil  penalties
     against all defendants in an amount in excess of $500 million.  The Company
     believes  that  it  has  not engaged in any anti-competitive activities and
     that this proceeding is  subject  to  the  indemnity provision of the Stock
     Sale Agreement between the BHP Sellers and the Company which  provides  for
     indemnification in excess of $2 million and not to exceed $65 million.  The
     Company will defend this litigation vigorously.

                                       27

ITEM 4.  SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS

        (a) The  1998  Annual Meeting of Stockholders of the Company was held on
            July 29, 1998.

        (b) The following directors were elected at the 1998 Annual  Meeting  of
            Stockholders  to  hold  office  until  the  1999  Annual  Meeting of
            Stockholders or until their successors are elected and qualified.  A
            tabulation of the number of votes  cast for or withheld with respect
            to each such director are set forth below:

                                              Votes               Votes
                    Name                       For               Withheld
                    --------------------    ----------           --------

                    Steven H. Grapstein     23,654,195            863,309
                    William J. Johnson      23,661,055            856,449
                    Alan J. Kaufman         23,658,977            858,527
                    Raymond K. Mason, Sr.   23,658,371            859,133
                    Bruce A. Smith          23,664,172            853,332
                    Patrick J. Ward         23,662,835            854,669
                    Murray L. Weidenbaum    23,658,204            859,300

     (c)(i) With respect to  the  resolution  amending  the  Company's  Restated
            Certificate  of  Incorporation  to increase the number of authorized
            shares of the Company's Common Stock from 50 million to 100 million,
            there were 22,934,397  votes  for;  1,530,088  votes against; 53,019
            abstentions; and no broker non-votes.

       (ii) With respect to the resolution increasing the number of shares which
            can be granted under the Amended and  Restated  Executive  Long-Term
            Incentive  Plan  and increasing the limit on the number of shares of
            restricted stock which can  be  granted  under such plan, there were
            15,439,159 votes for; 3,247,935 votes against;  79,572  abstentions;
            and 5,750,838 broker non-votes.

      (iii)  With  respect  to the ratification of the appointment of Deloitte &
            Touche LLP as  the  Company's  independent  auditors for fiscal year
            1998, there were 23,902,948 votes for; 40,152 votes against; 574,404
            abstentions; and no broker non-votes.

                                       28

ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

     (a) Exhibits

           3.1    Certificate of Amendment, dated  as  of  August  3,  1998,  to
                  Certificate  of Incorporation of the Company, amending Article
                  IV, increasing the number of authorized shares of Common Stock
                  from 50,000,000 to 100,000,000.

          10.1    Copy of the Company's  1998 Performance Incentive Compensation
                  Plan.

          10.2    Copy of the Company's Amended and Restated Executive Long-Term
                  Incentive Plan, as amended through July 29, 1998.

          27.1    Financial Data Schedule (September 30, 1998).

     (b)  Reports on Form 8-K.

          A  Current  Report on Form 8-K, dated June 25, 1998, was filed on July
          1, 1998, reporting under Item  5,  Other  Events, that the Company had
          issued 9,000,000 Premium Income Equity Securities and 5,000,000 shares
          of Common Stock.  Exhibits were also filed under Item 7.

          A Current Report on Form 8-K, dated August  10,  1998,  was  filed  on
          August 12, 1998, reporting under Item 2, Acquisition or Disposition of
          Assets,  that  the  Company  completed  the  acquisition of all of the
          outstanding capital  stock  of  Shell  Anacortes  Refining Company, an
          affiliate of Shell Oil Company.  The Audited Financial  Statements  of
          Shell Anacortes Refining Company as of December 31, 1996 and 1997, and
          Unaudited  Financial Statements of Shell Anacortes Refining Company as
          of March 31, 1998, were  previously  filed in the Registrant's Current
          Report on Form 8-K dated May 29, 1998  and  filed  on  June  5,  1998.
          Included under Item 7 of the Form 8-K, dated August 10, 1998 and filed
          on  August  12,  1998,  were  unaudited  pro  forma combined condensed
          financial statements of the  Company,  BHP Petroleum Americas Refining
          Inc. and BHP Petroleum South Pacific Inc. and Shell Anacortes Refining
          Company as of March 31, 1998 and for the year ended December 31,  1997
          and three months ended March 31, 1998.

                                       29

                                   SIGNATURES

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


                                            TESORO PETROLEUM CORPORATION
                                                       REGISTRANT




Date: November 16, 1998              /s/          BRUCE A. SMITH
                                                  Bruce A. Smith
                                       Chairman of the Board of Directors,
                                      President and Chief Executive Officer







Date: November 16, 1998              /s/            DON M. HEEP
                                                    Don M. Heep
                                               Vice President, Controller
                                               (Chief Accounting Officer)

                                       30

                                 EXHIBIT INDEX


EXHIBIT
NUMBER

  3.1    Certificate of Amendment, dated as of August 3, 1998, to Certificate of
         Incorporation of the  Company,  amending  Article  IV,  increasing  the
         number  of  authorized  shares  of  Common  Stock  from  50,000,000  to
         100,000,000.

 10.1    Copy of the Company's 1998 Performance Incentive Compensation Plan.

 10.2    Copy  of  the  Company's   Amended  and  Restated  Executive  Long-Term
         Incentive Plan, as amended through July 29, 1998.

 27.1    Financial Data Schedule (September 30, 1998).

                                       31