TESORO PETROLEUM CORP /NEW/
10-Q, 1998-08-14
PETROLEUM REFINING
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                                 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 JUNE 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 32,322,395 shares  of  the  registrant's  Common Stock outstanding at
July 31, 1998.

<PAGE>

                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES

                         QUARTERLY REPORT ON FORM 10-Q

                  FOR THE QUARTERLY PERIOD ENDED JUNE 30, 1998

                               TABLE OF CONTENTS



                                                                      Page
PART I.  FINANCIAL INFORMATION

  Item 1.  Financial Statements (Unaudited)

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

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

   Condensed Statements of Consolidated Cash Flows - Six Months Ended
    June 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 . . . . . . . . . . . . .      13


PART II.  OTHER INFORMATION

  Item 1.  Legal Proceedings . . . . . . . . . . . . . . . . . .      26

  Item 2.  Changes in Securities and Use of Proceeds . . . . . .      27

  Item 6.  Exhibits and Reports on Form 8-K. . . . . . . . . . .      28


SIGNATURES . . . . . . . . . . . . . . . . . . . . . . . . . . .      29


EXHIBIT INDEX. . . . . . . . . . . . . . . . . . . . . . . . . .      30

                                       2
<PAGE>
<TABLE>
<CAPTION>
                   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)

                                                                   June 30,     December 31,
                                                                     1998           1997*
                                                                     ----           ----
                         ASSETS
<S>                                                                <C>            <C>
CURRENT ASSETS
 Cash and cash equivalents . . . . . . . . . . . . . . . . . . .  $   26,408     $    8,352
 Receivables, less allowance for doubtful accounts of $1,886
  ($1,373 at December 31, 1997). . . . . . . . . . . . . . . . .     112,053         76,282
 Inventories:
  Crude oil and wholesale refined products, at LIFO. . . . . . .     141,307         68,227
  Merchandise and other refined products . . . . . . . . . . . .      18,748         13,377
  Materials and supplies . . . . . . . . . . . . . . . . . . . .      15,391          5,755
 Prepayments and other . . . . . . . . . . . . . . . . . . . . .       8,953          9,842
                                                                   ----------     ----------
  Total Current Assets . . . . . . . . . . . . . . . . . . . . .     322,860        181,835
                                                                   ----------     ----------

PROPERTY, PLANT AND EQUIPMENT
 Refining and marketing. . . . . . . . . . . . . . . . . . . . .     590,570        370,174
 Exploration and production (full-cost method of accounting) . .     341,359        291,411
 Marine services . . . . . . . . . . . . . . . . . . . . . . . .      49,851         43,072
 Corporate . . . . . . . . . . . . . . . . . . . . . . . . . . .      16,138         13,689
                                                                   ----------     ----------
                                                                     997,918        718,346
  Less accumulated depreciation, depletion and amortization. . .     331,730        304,523
                                                                   ----------     ----------
  Net Property, Plant and Equipment. . . . . . . . . . . . . . .     666,188        413,823
                                                                   ----------     ----------

OTHER ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . .      52,840         32,150
                                                                   ----------     ----------
   Total Assets. . . . . . . . . . . . . . . . . . . . . . . . .  $1,041,888     $  627,808
                                                                   ==========     ==========

          LIABILITIES AND STOCKHOLDERS' EQUITY

CURRENT LIABILITIES
 Accounts payable. . . . . . . . . . . . . . . . . . . . . . . .  $  100,322     $   58,767
 Accrued liabilities and current income taxes payable. . . . . .      57,637         31,726
 Current maturities of long-term debt and other obligations. . .       2,711         17,002
                                                                   ----------     ----------
  Total Current Liabilities. . . . . . . . . . . . . . . . . . .     160,670        107,495
                                                                   ----------     ----------

DEFERRED INCOME TAXES. . . . . . . . . . . . . . . . . . . . . .      33,430         28,824
                                                                   ----------     ----------

OTHER LIABILITIES  . . . . . . . . . . . . . . . . . . . . . . .      45,681         43,211
                                                                   ----------     ----------

LONG-TERM DEBT AND OTHER OBLIGATIONS, LESS
  CURRENT MATURITIES . . . . . . . . . . . . . . . . . . . . . .     451,670        115,314
                                                                   ----------     ----------

COMMITMENTS AND CONTINGENCIES (Note E)

STOCKHOLDERS' EQUITY
 Common stock, par value $0.16-2/3; authorized 50,000,000 shares;
  26,885,080 shares issued (26,506,601 in 1997). . . . . . . . .       4,480          4,418
 Additional paid-in capital. . . . . . . . . . . . . . . . . . .     198,319        190,925
 Retained earnings . . . . . . . . . . . . . . . . . . . . . . .     153,275        140,980
 Treasury stock, 323,162 common shares (216,453 in 1997), at cost     (5,637)        (3,359)
                                                                   ----------     ----------
  Total Stockholders' Equity . . . . . . . . . . . . . . . . . .     350,437        332,964
                                                                   ----------     ----------

   Total Liabilities and Stockholders' Equity. . . . . . . . . .  $1,041,888     $  627,808
                                                                   ==========     ==========

<FN>
* 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.
</TABLE>
                                       3
<PAGE>
<TABLE>
<CAPTION>
                            TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                           CONDENSED STATEMENTS OF CONSOLIDATED OPERATIONS
                                             (UNAUDITED)
                               (IN THOUSANDS EXCEPT PER SHARE AMOUNTS)


                                                         Three Months Ended        Six Months Ended
                                                               June 30,                June 30,
                                                       ---------------------   ---------------------
                                                           1998        1997        1998        1997
                                                           ----        ----        ----        ----
<S>                                                      <C>         <C>         <C>         <C>
REVENUES
 Refining and marketing. . . . . . . . . . . . . . . . $ 207,506   $ 161,771   $ 347,719   $ 336,171
 Exploration and production. . . . . . . . . . . . . .    21,534      18,590      43,756      41,948
 Marine services . . . . . . . . . . . . . . . . . . .    29,157      30,338      61,975      65,833
 Other income. . . . . . . . . . . . . . . . . . . . .    20,632       2,607      21,418       4,206
                                                         --------    --------    --------    --------
  Total Revenues . . . . . . . . . . . . . . . . . . .   278,829     213,306     474,868     448,158
                                                         --------    --------    --------    --------

OPERATING COSTS AND EXPENSES
 Refining and marketing. . . . . . . . . . . . . . . .   182,727     149,758     313,447     320,912
 Exploration and production. . . . . . . . . . . . . .     3,490       2,937       7,415       5,782
 Marine services . . . . . . . . . . . . . . . . . . .    26,874      29,499      57,471      63,715
 Depreciation, depletion and amortization. . . . . . .    14,854      11,229      27,798      22,826
                                                         --------    --------    --------    --------
  Total Segment Operating Costs and Expenses . . . . .   227,945     193,423     406,131     413,235
                                                         --------    --------    --------    --------

SEGMENT OPERATING PROFIT . . . . . . . . . . . . . . .    50,884      19,883      68,737      34,923

Other Operating Costs and Expenses . . . . . . . . . .    (7,934)        -        (7,934)        -
General and Administrative . . . . . . . . . . . . . .    (3,852)     (3,145)     (7,224)     (6,183)
Interest Expense, Net of Capitalized Interest in 1997     (5,753)     (1,583)     (8,418)     (3,153)
Interest Income. . . . . . . . . . . . . . . . . . . .       305         890         413       1,324
Other Expense, Net . . . . . . . . . . . . . . . . . .   (14,611)       (941)    (15,645)     (2,232)
                                                         --------    --------    --------    --------

EARNINGS BEFORE INCOME TAXES AND
 EXTRAORDINARY ITEM. . . . . . . . . . . . . . . . . .    19,039      15,104      29,929      24,679
Income Tax Provision . . . . . . . . . . . . . . . . .     8,162       5,466      12,993       8,910
                                                         --------    --------    --------    --------

EARNINGS BEFORE EXTRAORDINARY ITEM . . . . . . . . . .    10,877       9,638      16,936      15,769
Extraordinary Loss on Extinguishment of Debt, Net of
 Income Tax Benefit of $2,401 in 1998. . . . . . . . .    (4,641)        -        (4,641)        -
                                                         --------    --------    --------    --------

NET EARNINGS . . . . . . . . . . . . . . . . . . . . . $   6,236   $   9,638   $  12,295   $  15,769
                                                         ========    ========    ========    ========

NET EARNINGS PER SHARE - BASIC . . . . . . . . . . . . $    0.23   $    0.36   $    0.47   $    0.60
                                                         ========    ========    ========    ========
NET EARNINGS PER SHARE - DILUTED . . . . . . . . . . . $    0.23   $    0.36   $    0.46   $    0.59
                                                         ========    ========    ========    ========
WEIGHTED AVERAGE COMMON SHARES - BASIC . . . . . . . .    26,475      26,425      26,393      26,427
                                                         ========    ========    ========    ========
WEIGHTED AVERAGE COMMON AND POTENTIALLY
 DILUTIVE COMMON SHARES - DILUTED. . . . . . . . . . .    27,202      26,787      26,997      26,808
                                                         ========    ========    ========    ========

    The accompanying notes are an integral part of these condensed consolidated financial statements.
</TABLE>
                                       4
<PAGE>
<TABLE>
<CAPTION>
                       TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                      CONDENSED STATEMENTS OF CONSOLIDATED CASH FLOWS
                                        (UNAUDITED)
                                       (IN THOUSANDS)

                                                                        Six Months Ended
                                                                            June 30,
                                                                     ----------------------
                                                                       1998           1997
                                                                       ----           ----
<S>                                                                  <C>            <C>
CASH FLOWS FROM (USED IN) OPERATING ACTIVITIES
  Net earnings . . . . . . . . . . . . . . . . . . . . . . . . .  $   12,295     $   15,769
  Adjustments to reconcile net earnings to net cash from
    operating activities:
   Depreciation, depletion and amortization. . . . . . . . . . .      28,155         23,140
   Loss on extinguishment of debt, net of income tax benefit . .       4,641            -
   Amortization of deferred charges and other. . . . . . . . . .         712            333
   Changes in operating assets and liabilities:
    Receivables. . . . . . . . . . . . . . . . . . . . . . . . .      14,749         57,853
    Inventories. . . . . . . . . . . . . . . . . . . . . . . . .     (16,823)           811
    Accounts payable and other current liabilities . . . . . . .      (4,139)       (46,362)
    Obligation payments to State of Alaska . . . . . . . . . . .      (3,008)        (2,211)
    Deferred income taxes. . . . . . . . . . . . . . . . . . . .       7,803          3,503
    Other assets and liabilities . . . . . . . . . . . . . . . .        (469)         4,514
                                                                    ---------      ---------
     Net cash from operating activities. . . . . . . . . . . . .      43,916         57,350
                                                                    ---------      ---------

CASH FLOWS FROM (USED IN) INVESTING ACTIVITIES
  Capital expenditures . . . . . . . . . . . . . . . . . . . . .     (62,258)       (44,799)
  Acquisition and deposits (Note B). . . . . . . . . . . . . . .    (252,517)           -
  Other. . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (851)          (143)
                                                                    ---------      ---------
     Net cash used in investing activities . . . . . . . . . . .    (315,626)       (44,942)
                                                                    ---------      ---------

CASH FLOWS FROM (USED IN) FINANCING ACTIVITIES
  Borrowings under revolving credit facilities and term loans,
   net of repayments . . . . . . . . . . . . . . . . . . . . . .     393,000          2,182
  Refinancing of debt and obligations. . . . . . . . . . . . . .     (89,940)           -
  Financing costs and expenses . . . . . . . . . . . . . . . . .     (10,135)           -
  Payments of other long-term debt . . . . . . . . . . . . . . .      (1,986)        (2,293)
  Other. . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (1,173)          (237)
                                                                    ---------      ---------
     Net cash from (used in) financing activities. . . . . . . .     289,766           (348)
                                                                    ---------      ---------

INCREASE IN CASH AND CASH EQUIVALENTS. . . . . . . . . . . . . .      18,056         12,060

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

CASH AND CASH EQUIVALENTS, END OF PERIOD . . . . . . . . . . . .  $   26,408     $   34,856
                                                                    =========      =========

SUPPLEMENTAL CASH FLOW DISCLOSURES
  Interest paid, net of $114 capitalized in 1997 . . . . . . . .  $    3,592     $    1,326
                                                                    =========      =========
  Income taxes paid. . . . . . . . . . . . . . . . . . . . . . .  $    5,965     $   18,872
                                                                    =========      =========

The accompanying notes are an integral part of these condensed consolidated financial statements.
</TABLE>
                                       5
<PAGE>

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

<PAGE>
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  establishes  standards  for  computing  and  presenting basic and diluted
earnings per share calculations.

NOTE B - ACQUISITIONS

Hawaii Refinery Acquisition

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"),
both of which were  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 $243.5 million in  cash  for the Hawaii Acquisition, including $68.5
million for estimated net working capital.  The cash purchase price  is  subject
to   post-closing   adjustments.   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, depletion and amortization,  as
specified in the BHP Note, exceed $50 million in any calendar year.

The Hawaii Acquisition was accounted for as  a purchase in the second quarter of
1998 whereby the purchase  price  was  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 the preliminary
allocation of the purchase price, as the purchase price allocation has 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  was an estimated $14.6 million present value of the BHP
Note.  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, BHP Hawaii's results have been included  in  Tesoro's
consolidated  financial  statements  since  the  date  of  acquisition.  Had BHP
Hawaii's 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 six months ended June 30, 1998 on a pro forma basis
would have reflected revenues of approximately $800 million,

                                       6
<PAGE>
earnings before extraordinary item of $19 million ($0.42 per basic and $0.41 per
diluted  share after preferred dividends) and net earnings of $15 million ($0.27
per basic and diluted  share  after preferred dividends).  Tesoro's consolidated
results for the six months ended June 30, 1997, on a pro forma basis would  have
reflected revenues of approximately $900 million and net earnings of $13 million
($0.21 per basic and diluted share after preferred dividends).

Washington State Refinery Acquisition

On August 10,  1998,  the  Company  completed  the  acquisition (the "Washington
Acquisition" and together with  the  Hawaii  Acquisition,  the  "Acquisitions"),
effective  August  1,  1998,  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 Washington Acquisition will be accounted for as a
purchase in the third quarter of 1998.

Exploration and Production

Through  the first half of 1998, the Exploration and Production segment acquired
an interest  in  46,900  gross  acres  (21,200  net)  for  $3.4 million, located
primarily in Chambers and Jefferson Counties in the Frio/Vicksburg Trend and  in
Wheeler County in the Texas Panhandle.

 In addition, in August 1998 the Company purchased a 50% working interest in the
Stiles  Ranch  Field which includes 10,200 gross acres located in Wheeler County
which are adjacent to  8,000  gross  acres  acquired  earlier  in the year.  The
interests  acquired  were  producing  approximately  2.6  million   cubic   feet
equivalent  per  day,  net, as of June 1, 1998 from 25 wells in the Granite Wash
formation.  The acquisition price included  $8  million cash plus the conveyance
of a 25% working interest in an undeveloped prospect owned  by  the  Company  in
South Texas.

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.
Subsequent to June 30,  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 (see Changes in Securities and Use of Proceeds in Part
II, Item 2, contained herein).

                                       7
<PAGE>
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.
For further information on PIES, see Part  II, Item 2, Changes in Securities and
Use of Proceeds.

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 (see Part II, Item 2).  On August 7, 1998, a Registration Statement was
declared  effective  by  the SEC whereby the Company is offering, 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.

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).

                                       8
<PAGE>
Capitalization

The following table sets forth the consolidated capitalization of the Company as
of June 30, 1998 on an (i) historical  basis and (ii) as adjusted to give effect
to the Acquisitions, the Offerings including the exercise of the  over-allotment
options   and   the   initial   borrowings  under  the  Senior  Credit  Facility
(collectively, the "Transactions") (in millions):

<TABLE>
<CAPTION>
                                                                    June 30, 1998
                                                               -----------------------
                                                                          As Adjusted
                                                                Tesoro      for the
                                                               Historical Transactions
                                                               ---------- ------------
<S>                                                               <C>       <C>
Total Debt and Other Obligations, Including Current Maturities:
 Interim Credit Facility . . . . . . . . . . . . . . . . . . .   $ 421.0   $    -
 Senior Credit Facility. . . . . . . . . . . . . . . . . . . .       -        152.0
 Senior Subordinated Notes . . . . . . . . . . . . . . . . . .       -        298.3
 BHP Note (see Note B) . . . . . . . . . . . . . . . . . . . .      14.7       14.7
 Other . . . . . . . . . . . . . . . . . . . . . . . . . . . .      18.7       18.7
                                                                  ------     ------
  Total Debt and Obligations . . . . . . . . . . . . . . . . .     454.4      483.7
Mandatorily Convertible Preferred Stock. . . . . . . . . . . .       -        164.9
Common Stockholders' Equity. . . . . . . . . . . . . . . . . .     350.4      431.9
                                                                  ------     ------
  Total Capitalization . . . . . . . . . . . . . . . . . . . .  $  804.8  $ 1,080.5
                                                                  ======     ======
</TABLE>

The Company's debt-to-capitalization ratio  at  June  30, 1998 was approximately
56% on an historical basis and 45% on a pro forma basis.

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
<PAGE>
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 six
months ended June 30, 1998 and 1997 is as follows (in millions):

<TABLE>
<CAPTION>

                                                                      Three Months Ended     Six Months Ended
                                                                           June 30,             June 30,
                                                                      ------------------   ------------------
                                                                        1998      1997       1998      1997
                                                                        ----      ----       ----      ----
<S>                                                                    <C>       <C>        <C>       <C>
Refining and Marketing:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . . $ 207.6   $ 161.8    $ 347.8   $ 336.2
 Other income (expense). . . . . . . . . . . . . . . . . . . . . . .    (0.5)      -         (0.5)      -
 Operating costs and expenses. . . . . . . . . . . . . . . . . . . .   182.8     149.8      313.5     321.0
 Depreciation, depletion and amortization. . . . . . . . . . . . . .     4.3       3.2        7.3       6.3
                                                                      -------   -------    -------   -------
  Total Refining and Marketing Segment Operating Profit. . . . . . .    20.0       8.8       26.5       8.9
                                                                      -------   -------    -------   -------
Exploration and Production:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . .    21.6      18.6       43.8      42.0
 Other income. . . . . . . . . . . . . . . . . . . . . . . . . . . .    21.2       2.5       21.8       4.1
 Operating costs and expenses. . . . . . . . . . . . . . . . . . . .     3.6       2.9        7.4       5.8
 Depreciation, depletion and amortization. . . . . . . . . . . . . .    10.0       7.6       19.4      15.7
                                                                      -------   -------    -------   -------
  Total Exploration and Production Segment Operating
   Profit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .    29.2      10.6       38.8      24.6
                                                                      -------   -------    -------   -------
Marine Services:
 Operating revenues. . . . . . . . . . . . . . . . . . . . . . . . .    29.1      30.3       61.9      65.8
 Operating costs and expenses. . . . . . . . . . . . . . . . . . . .    27.0      29.4       57.4      63.6
 Depreciation, depletion and amortization. . . . . . . . . . . . . .     0.5       0.4        1.1       0.8
                                                                      -------   -------    -------   -------
  Total Marine Services Segment Operating Profit . . . . . . . . . .     1.6       0.5        3.4       1.4
                                                                      -------   -------    -------   -------
Segment Operating Profit . . . . . . . . . . . . . . . . . . . . . . $  50.8   $  19.9    $  68.7   $  34.9
                                                                      =======   =======    =======   =======
</TABLE>
<TABLE>
<CAPTION>
Total assets for each operating segment are as follows (in millions):

                                                                     June 30,   December 31,
                                                                       1998         1997
                                                                     --------   ------------

<S>                                                                    <C>          <C>
Refining and Marketing . . . . . . . . . . . . . . . . . . . . . . . $ 686.7      $ 337.4
Exploration and Production . . . . . . . . . . . . . . . . . . . . .   234.4        209.0
Marine Services. . . . . . . . . . . . . . . . . . . . . . . . . . .    61.1         59.3
                                                                       -----        -----
 Total Segment Assets. . . . . . . . . . . . . . . . . . . . . . . . $ 982.2      $ 605.7
                                                                       =====        =====
</TABLE>

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,  at
which  it  has  been  named  a  potentially  responsible party ("PRP") under the
Federal Superfund  law.   Although  this  law  might  impose  joint  and several
liability upon each party at the site, the extent  of  the  Company's  allocated
financial  contributions  to  the  cleanup of the site is expected to be limited
based upon the number of companies,  volumes  of waste involved and an estimated
total cost of approximately $500,000 among all of the parties to close the site.
The Company is currently involved

                                       10
<PAGE>
in settlement discussions with the Environmental Protection Agency  ("EPA")  and
other  PRPs  at  the  Abbeville,  Louisiana site.  The Company expects, based on
these discussions, that its liability  will  not exceed $25,000.  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.   For  further information regarding
environmental matters,  see  Legal  Proceedings  in  Part  II,  Item 1, included
herein.

At June 30, 1998, the Company's  accruals  for  environmental  expenses  totaled
$10.9  million, which includes approximately $2.5 million for remediation of the
Kenai Pipe Line ("KPL") properties (funded by the former owners of KPL through a
restricted escrow deposit).  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,  certain
subsidiaries of BHP (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.  Conditions that may
require additional  expenditures  may  exist  for  the  Washington  Acquisition,
including but not limited to expenditures for compliance with the Clean Air Act.
The  amount  of  such  future expenditures cannot currently be determined by the
Company.

In addition to environmental expenses, the Company anticipates that it will make
capital improvements of approximately $10 million in 1998 and $5 million in 1999
to comply with environmental laws  and  regulations affecting its Alaska, Hawaii
and  the  Gulf  Coast  operations.   In  addition,  capital   expenditures   for
alternative  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 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.

Other

The Company's results  for  the  second  quarter  of  1998  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.

NOTE F - 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 would be
earned only if the market price of the Company's Common Stock reached an average
price per share of $20 or higher over any 20 consecutive trading days after June
30, 1997 and before December 31, 1998 (the "Performance Target").  In connection
with this strategy, non-executive employees would be able to earn  cash  bonuses
equal  to  25%  of  their  individual  payroll  amounts  for the previous twelve
complete

                                       11
<PAGE>
months and certain  executives  were  granted,  from  the  Company's Amended and
Restated Executive Long-Term Incentive Plan ("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 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  vest  only
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 aftertax  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.

                                       12
<PAGE>
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   24   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.   In  1998,  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 Hawaiian refining and marketing assets of  two  subsidiaries
of  BHP  in  May  1998 and acquired the Washington Refinery and related refining
assets from a subsidiary of Shell in August 1998.  The Acquisitions are expected
to triple Tesoro's  annual  revenues  and  significantly  increase  the scope of
Tesoro's 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 scheduled
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.

As part of the Company's long-term strategy, growth initiatives are  planned  in
1998  with  capital  spending  projected  to  total $222 million, which includes
estimated capital  expenditures  for  the  operations  recently  acquired.  This
capital spending projection represents an increase  of  50%  over  1997  capital
expenditures.   Approximately  62%  of  the  1998  projected capital spending is
directed toward increased drilling and  other related exploration costs, both in
Bolivia and the U.S. Another 33% is planned for downstream operations, primarily
improvements for retail marketing and refining operations.  The remaining 5%  of
the projected capital spending is dedicated to corporate expenditures, primarily
upgrading information systems.

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  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  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.

                                       13
<PAGE>
RESULTS OF OPERATIONS - THREE MONTHS AND SIX MONTHS ENDED JUNE 30, 1998 COMPARED
WITH THREE MONTHS AND SIX MONTHS ENDED JUNE 30, 1997

SUMMARY

Tesoro's net earnings of $6.2 million, or  $0.23 per share, for the three months
ended June 30, 1998 ("1998 Quarter") compare with net earnings of $9.7  million,
or  $0.36  per share, for the three months ended June 30, 1997 ("1997 Quarter").
For the year-to-date period, net earnings  of  $12.3 million, or $0.47 per basic
share ($0.46 per diluted share), for the six months ended June 30,  1998  ("1998
Period")  compare  with  net earnings of $15.8 million, or $0.60 per basic share
($0.59 per diluted  share),  for  the  six  months  ended  June  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):

<TABLE>
<CAPTION>
                                                                 Three Months Ended  Six Months Ended
                                                                      June 30,            June 30,
                                                                 ------------------  ----------------
                                                                   1998     1997       1998     1997
                                                                   ----     ----       ----     ----

<S>                                                               <C>      <C>        <C>      <C>
Net Earnings as Reported . . . . . . . . . . . . . . . . . . . . $  6.2   $  9.7     $ 12.3   $ 15.8
Extraordinary Loss on Debt Extinguishments, Net of Income Tax
 Benefit . . . . . . . . . . . . . . . . . . . . . . . . . . . .    4.6       -         4.6       -
                                                                  ------   ------     ------   ------
Earnings Before Extraordinary Item . . . . . . . . . . . . . . .   10.8      9.7       16.9     15.8
                                                                  ------   ------     ------   ------
Significant Items Affecting Comparability, Pretax:
 Income from receipt of contingency funds from an operator . . .   21.3       -        21.3       -
 Charge for special incentive compensation strategy. . . . . . .  (19.9)      -       (19.9)      -
 Income from retroactive severance tax refunds . . . . . . . . .     -       0.2         -       1.8
 Income from collection of Bolivian receivable . . . . . . . . .     -       2.2         -       2.2
                                                                  ------   ------     ------   ------
  Total Significant Items, Pretax. . . . . . . . . . . . . . . .    1.4      2.4        1.4      4.0
  Income Tax Effect. . . . . . . . . . . . . . . . . . . . . . .    0.5       .7        0.5      1.2
                                                                  ------   ------     ------   ------
  Total Significant Items, Aftertax. . . . . . . . . . . . . . .    0.9      1.7        0.9      2.8
                                                                  ------   ------     ------   ------
Net Earnings Excluding Significant Items and Extraordinary
 Item. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $  9.9   $  8.0     $ 16.0   $ 13.0
                                                                  ======   ======     ======   ======

Earnings Per Share - Basic:
 As reported . . . . . . . . . . . . . . . . . . . . . . . . . . $ 0.23   $ 0.36     $ 0.47   $ 0.60
 Extraordinary loss. . . . . . . . . . . . . . . . . . . . . . .  (0.17)      -       (0.17)      -
 Effect of other significant items . . . . . . . . . . . . . . .   0.03     0.06       0.04     0.11
                                                                  ------   ------     ------   ------
 Excluding significant items and extraordinary item. . . . . . . $ 0.37   $ 0.30     $ 0.60   $ 0.49
                                                                  ======   ======     ======   ======

Earnings Per Share - Diluted:
 As reported . . . . . . . . . . . . . . . . . . . . . . . . . . $ 0.23   $ 0.36     $ 0.46   $ 0.59
 Extraordinary loss. . . . . . . . . . . . . . . . . . . . . . .  (0.17)      -       (0.17)      -
 Effect of other significant items . . . . . . . . . . . . . . .   0.04     0.06       0.04     0.10
                                                                  ------   ------     ------   ------
 Excluding significant items and extraordinary item. . . . . . . $ 0.36   $ 0.30     $ 0.59   $ 0.49
                                                                  ======   ======     ======   ======
</TABLE>

As shown above,  excluding  the  significant  items affecting comparability, net
earnings would have been $9.9 million ($0.37 per basic share, $0.36 per  diluted
share)  in  the  1998  Quarter  as compared to $8.0 million ($0.30 per basic and
diluted share) in the 1997 Quarter.   The  resulting increase in net earnings in
the 1998 Quarter was primarily attributable to improved refined product  margins
combined  with  higher  sales  volumes  in  the Company's Refining and Marketing
segment and increased volumes of  natural  gas production in the Exploration and
Production segment, partially offset by higher corporate interest expense.   For
the  year-to-date  periods, excluding significant items, net earnings would have
been $16.0 million ($0.60 per basic share, $0.59 per diluted share) for the 1998
Period compared to $13.0 million  ($0.49  per  basic  and diluted share) for the
1997 Period.  The increase in the  1998  Period  was  primarily  due  to  better
refined  product  margins  and  higher  sales  volumes and increased natural gas
production volumes, partially  offset  by  lower  natural  gas prices and higher
corporate interest expense and income tax provisions.  A discussion and analysis
of the factors contributing to the Company's results of operations are presented
below.

                                       14
<PAGE>
<TABLE>
<CAPTION>
REFINING AND MARKETING
                                                                     Three Months Ended        Six Months Ended
                                                                          June 30,                 June 30,
                                                                  ---------------------    --------------------
                                                                      1998        1997         1998        1997
                                                                      ----        ----         ----        ----
                                                                 (Dollars in millions  except  per barrel  amounts)
<S>                                                                 <C>         <C>          <C>         <C>
Gross Operating Revenues:
 Refined products. . . . . . . . . . . . . . . . . . . . . . . . $    184.9  $    153.6   $    307.6  $    309.4
 Other, primarily crude oil resales and merchandise. . . . . . .       22.7         8.2         40.2        26.8
                                                                   --------    --------     --------    --------
  Gross Operating Revenues . . . . . . . . . . . . . . . . . . . $    207.6  $    161.8   $    347.8  $    336.2
                                                                   ========    ========     ========    ========

Total Operating Profit:
 Gross margin:
  Refinery <F1>. . . . . . . . . . . . . . . . . . . . . . . . . $     45.0  $     25.4   $     69.1  $     44.1
  Non-refinery <F2>. . . . . . . . . . . . . . . . . . . . . . .       15.1        10.5         24.7        16.5
                                                                   --------    --------     --------    --------
   Total gross margins . . . . . . . . . . . . . . . . . . . . .       60.1        35.9         93.8        60.6
 Operating and other expenses. . . . . . . . . . . . . . . . . .       35.8        23.9         60.0        45.4
 Depreciation and amortization . . . . . . . . . . . . . . . . .        4.3         3.2          7.3         6.3
                                                                   --------    --------     --------    --------
  Segment Operating Profit . . . . . . . . . . . . . . . . . . . $     20.0  $      8.8   $     26.5  $      8.9
                                                                   ========    ========     ========    ========

Capital Expenditures . . . . . . . . . . . . . . . . . . . . . . $      5.2  $     15.9   $      7.2  $     18.8
                                                                   ========    ========     ========    ========

Refinery Throughput (Barrels/day):
 Alaska Refinery . . . . . . . . . . . . . . . . . . . . . . . .     59,996      52,409       58,082      50,785
 Hawaii Refinery (for month of June 1998 only) <F3>. . . . . . .     63,676         -         63,676         -
 % Alaska North Slope ("ANS") crude oil. . . . . . . . . . . . .        50%         82%          47%         80%

Total Refined Products Manufactured (average daily barrels)<F3>:
 Gasoline and gasoline blendstocks . . . . . . . . . . . . . . .    20,675      13,276       17,957      13,082
 Middle distillates, including jet fuel and diesel fuel. . . . .    35,416      22,074       30,315      21,620
 Heavy oils and residual products. . . . . . . . . . . . . . . .    22,956      15,644       19,064      14,929
 Other . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     4,508       2,952        3,347       2,801
                                                                   --------    --------     --------    --------
  Total Refined Products Manufactured. . . . . . . . . . . . . .    83,555      53,946       70,683      52,432
                                                                   ========    ========     ========    ========

Total Refinery Product Spread ($/barrel) . . . . . . . . . . . . $    6.11   $    5.33    $    5.56   $    4.80
                                                                   ========    ========     ========    ========
Total Segment Product Sales (average daily barrels) <F3><F4>:
 Gasoline. . . . . . . . . . . . . . . . . . . . . . . . . . . .    29,045      19,118       21,810      17,935
 Middle distillates. . . . . . . . . . . . . . . . . . . . . . .    43,023      26,189       37,977      26,221
 Heavy oils and residual products. . . . . . . . . . . . . . . .    25,927      21,507       22,139      19,708
                                                                   --------    --------     --------    --------
  Total Product Sales. . . . . . . . . . . . . . . . . . . . . .    97,995      66,814       81,926      63,864
                                                                   ========    ========     ========    ========

Total Segment Gross Margins on Product Sales ($/barrel) <F5>:
 Average sales price . . . . . . . . . . . . . . . . . . . . . . $   20.73   $   25.26    $   20.74   $   26.76
 Average costs of sales. . . . . . . . . . . . . . . . . . . . .     14.76       20.34        15.35       22.37
                                                                   --------    --------     --------    --------
  Gross Margin . . . . . . . . . . . . . . . . . . . . . . . . . $    5.97   $    4.92    $    5.39   $    4.39
                                                                   ========    ========     ========    ========

<FN>
<F1>  Represents throughput at the Company's Alaska refinery  ("Alaska  Refinery")  and  Hawaii  Refinery  times
      refinery product spread.
<F2>  Non-refinery margin includes margins on products purchased and resold, margins on products sold in markets
      outside  of  Alaska  and  Hawaii,  intrasegment  pipeline revenues, retail margins, 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 recently acquired Hawaii operations for
      the month of June 1998, averaged over the periods presented.  Throughput volumes for the  Hawaii  Refinery
      are for the month of June 1998, averaged over the thirty-day month only.
<F4>  Sources  of  total  products  sales  include  products manufactured at the refineries, products drawn from
      inventory balances and products purchased from third parties.  The Company's purchases of refined products
      for resale averaged approximately 16,200 and 10,500  barrels  per  day for the three months ended June 30,
      1998 and 1997, respectively, and 14,200 and 10,800 barrels per day for the six months ended June 30,  1998
      and 1997, respectively.
<F5>  Gross  margins  on  total  product sales include margins on sales of purchased products, together with the
      effect of changes in inventories.
</TABLE>
                                       15
<PAGE>
REFINING AND MARKETING

THREE MONTHS ENDED JUNE 30, 1998 COMPARED WITH THREE MONTHS ENDED JUNE 30, 1997.
Segment operating profit for the Company's Refining and Marketing operations was
$20.0  million  in  the  1998 Quarter, an increase of $11.2 million from segment
operating profit of  $8.8  million  in  the  1997  Quarter.   The improvement in
results from Refining and  Marketing  was  due  to  a  combination  of  factors,
including  higher  throughput  volumes  and improved refined product yields.  In
addition, higher sales within the  segment's Alaska and recently acquired Hawaii
markets (see Note B of Notes to  Condensed  Consolidated  Financial  Statements)
also  contributed to the increase.  The 1998 Quarter benefited from an expansion
completed in October  1997  of  the  Company's  hydrocracker  unit at the 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.   The  1998  Quarter  included  results  from  refining  and marketing
operations in Hawaii, which were acquired effective May 31,  1998.   The  Hawaii
operations contributed positively to the segment's results for the 1998 Quarter,
but are expected, after corporate interest expense, to have a neutral impact for
the year.

During  the  1998  Quarter, throughput at the Alaska Refinery increased by 7,600
barrels per day, a  14%  increase  over  the  1997  Quarter,  resulting in a 19%
increase in middle distillate production from that refinery.  Throughput at  the
Hawaii  Refinery, which was in a maintenance turnaround during part of the month
of June 1998, averaged 63,700  barrels  per  day during the month.  The improved
Alaska  product  slate,  together  with  results  from  the  Hawaii  operations,
contributed to an increase in the Company's total  refinery  product  spread  to
$6.11  per  barrel in the 1998 Quarter, compared to $5.33 per barrel in the 1997
Quarter.  Total  product  sales  volumes  increased  by  31,200  barrels per day
primarily due to the acquisition of the Hawaii operations and higher  throughput
volumes.

Revenues  from  sales  of  refined  products  increased  during the 1998 Quarter
primarily due to higher sales volumes  resulting from the Hawaii Acquisition and
higher throughput volumes, partially offset by  a  reduction  in  average  sales
prices.   Other revenues included crude oil resales of $13.3 million in the 1998
Quarter with no  comparable  sales  in  the  1997 Quarter.  Merchandise revenues
increased in the 1998 Quarter due to the Hawaii Acquisition, which  included  32
retail  stations.   The  increase  in  costs  of sales also reflected the higher
volumes associated with the Hawaii  Acquisition  and marketing efforts in Alaska
partly offset by lower feedstock prices.  Margins from  non-refinery  activities
increased  to  $15.1  million in the 1998 Quarter due primarily to higher retail
sales and improved  margins  on  products  sold  outside  of  Alaska and Hawaii.
Operating and other expenses increased during the 1998 Quarter due to the Hawaii
Acquisition and higher marketing costs in Alaska.

SIX MONTHS ENDED JUNE 30, 1998 COMPARED WITH SIX MONTHS  ENDED  JUNE  30,  1997.
Segment  operating  profit  from  the  Refining and Marketing operations totaled
$26.5 million in the 1998  Period  compared  to segment operating profit of $8.9
million in the 1997 Period.  As discussed above, this  increase  was  due  to  a
number of factors, including higher throughput volumes, improved refined product
yields  and  higher  sales  volumes  within the segment's core Alaska and Hawaii
markets.

During the 1998 Period,  throughput  at  the  Alaska Refinery increased by 7,300
barrels per day, a 14% increase  over  the  1997  Period,  resulting  in  a  19%
increase  in  middle  distillates  production  from that refinery.  The improved
product slate, together with the  Hawaii  operations, contributed to an increase
in the Company's total refinery product spread to $5.56 per barrel in  the  1998
Period,  compared  to  $4.80 per barrel in the 1997 Period.  Total product sales
volumes increased by 18,100 barrels per day during the 1998 Period.

Revenues from sales of refined products  in the Company's Refining and Marketing
segment decreased during the 1998 Period as lower sales prices more than  offset
the  effect  of higher sales volumes.  Other revenues included $23.8 million and
$10.7 million  in  crude  oil  resales  in  the  1998  Period  and  1997 Period,
respectively.  The decrease  in  cost  of  sales  was  primarily  due  to  lower
feedstock  costs  partially  offset  by higher volumes.  Margins on non-refinery
activities increased to $24.7 million  in  the  1998 Period as compared to $16.5
million in the 1997 Period due primarily to higher  retail  sales  and  improved
margins  on  products  sold  outside  of Alaska and Hawaii.  Operating and other
expenses were higher in the 1998 Period due to the Hawaii Acquisition and higher
marketing costs in Alaska.

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,  were  completed in the fourth quarter of 1997.  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 will  be  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.

                                       16
<PAGE>
<TABLE>
<CAPTION>
EXPLORATION AND PRODUCTION
                                                        Three Months Ended       Six Months Ended
                                                              June 30,              June 30,
                                                        ------------------     ------------------
                                                           1998      1997        1998       1997
                                                           ----      ----        ----       ----
                                                       (Dollars in millions except per unit amounts)
<S>                                                     <C>       <C>         <C>       <C>
U.S. <F1>:
 Gross operating revenues . . . . . . . . . . . . . .  $   18.7  $   15.9    $   37.8  $    37.4
 Other income . . . . . . . . . . . . . . . . . . . .      21.7       0.3        22.3        1.9
 Production costs . . . . . . . . . . . . . . . . . .       2.0       1.8         4.5        3.5
 Administrative support and other operating expenses.       0.6       0.6         1.0        1.1
 Depreciation, depletion and amortization . . . . . .       9.3       7.3        18.2       15.2
                                                         -------   -------     -------    -------
  Segment Operating Profit - U.S. . . . . . . . . . .      28.5       6.5        36.4       19.5
                                                         -------   -------     -------    -------

BOLIVIA:
 Gross operating revenues . . . . . . . . . . . . . .       2.9       2.7         6.0        4.6
 Other income (expense) . . . . . . . . . . . . . . .      (0.5)      2.2        (0.5)       2.2
 Production costs . . . . . . . . . . . . . . . . . .       0.2       0.2         0.5        0.4
 Administrative support and other operating expenses.       0.8       0.3         1.4        0.8
 Depreciation, depletion and amortization . . . . . .       0.7       0.3         1.2        0.5
                                                         -------   -------     -------    -------
  Segment Operating Profit - Bolivia. . . . . . . . .       0.7       4.1         2.4        5.1
                                                         -------   -------     -------    -------

Total Segment Operating Profit - Exploration and
  Production. . . . . . . . . . . . . . . . . . . . .  $   29.2  $   10.6    $   38.8  $    24.6
                                                         =======   =======     =======    =======

U.S.:
 Average Daily Net Production:
  Natural gas (thousand cubic feet, "Mcf"). . . . . .    93,086    85,324      96,094     89,689
  Oil (barrels) . . . . . . . . . . . . . . . . . . .       257       121         215        133
   Total (thousand cubic feet equivalent, "Mcfe") . .    94,628    86,050      97,384     90,487
 Average Prices:
  Natural gas ($/Mcf) <F2>. . . . . . . . . . . . . .  $   2.06  $   1.85    $   2.04  $    2.11
  Oil ($/barrel). . . . . . . . . . . . . . . . . . .  $  12.66  $  18.38    $  13.25  $   19.87
Average Operating Expenses ($/Mcfe):
  Lease operating expenses. . . . . . . . . . . . . .  $   0.22  $   0.19    $   0.21  $    0.17
  Severance taxes . . . . . . . . . . . . . . . . . .      0.01      0.04        0.04       0.04
                                                         -------   -------     -------    -------
   Total production costs . . . . . . . . . . . . . .      0.23      0.23        0.25       0.21
  Administrative support and other. . . . . . . . . .      0.06      0.06        0.05       0.06
                                                         -------   -------     -------    -------
   Total Operating Expenses . . . . . . . . . . . . .  $   0.29  $   0.29    $   0.30  $    0.27
                                                         =======   =======     =======    =======
 Depletion ($/Mcfe) . . . . . . . . . . . . . . . . .  $   1.06  $   0.93    $   1.01  $    0.92
                                                         =======   =======     =======    =======
 Capital Expenditures . . . . . . . . . . . . . . . .  $   20.3  $    9.2    $   38.5  $    16.2
                                                         =======   =======     =======    =======

BOLIVIA:
 Average Daily Net Production:
  Natural gas (Mcf) . . . . . . . . . . . . . . . . .    26,458    17,326      24,624     14,180
  Condensate (barrels). . . . . . . . . . . . . . . .       724       506         770        412
   Total (Mcfe) . . . . . . . . . . . . . . . . . . .    30,802    20,362      29,244     16,652
 Average Prices:
  Natural gas ($/Mcf) . . . . . . . . . . . . . . . .  $   0.83  $   1.25    $   0.90  $    1.28
  Condensate ($/barrel) . . . . . . . . . . . . . . .  $  12.90  $  16.21    $  14.42  $   17.38
 Average Operating Expenses ($/Mcfe):
  Production costs. . . . . . . . . . . . . . . . . .  $   0.10  $   0.09    $   0.10  $    0.12
  Administrative support and other. . . . . . . . . .      0.25      0.24        0.27       0.30
                                                         -------   -------     -------    -------
   Total Operating Expenses . . . . . . . . . . . . .  $   0.35  $   0.33    $   0.37  $    0.42
                                                         =======   =======     =======    =======
 Depletion ($/Mcfe) . . . . . . . . . . . . . . . . .  $   0.22  $   0.16    $   0.22  $    0.16
                                                         =======   =======     =======    =======
 Capital Expenditures . . . . . . . . . . . . . . . .  $    9.2  $    2.0    $   11.5  $     6.0
                                                         =======   =======     =======    =======

<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 $0.02 per Mcf and $0.01 per Mcf for the three months and six months  ended  June  30,
      1998, respectively, and a loss of $0.10 per Mcf for the six months ended June 30, 1997.  There
      were no such gains or losses during the three months ended June 30, 1997.
</TABLE>
                                       17
<PAGE>
EXPLORATION AND PRODUCTION

U.S.

THREE MONTHS ENDED JUNE 30, 1998 COMPARED WITH THREE MONTHS ENDED JUNE 30, 1997.
Segment operating profit from the  Company's  U.S.  exploration  and  production
operations  was  $28.5 million in the 1998 Quarter compared with $6.5 million in
the 1997 Quarter.   The  1998  Quarter  benefited  from receipt of approximately
$21.3 million from an operator in the Bob West Field,  representing  funds  that
are  no  longer  needed  as a contingency reserve for litigation.  Excluding the
receipt of those funds and  other  items,  segment operating profit increased by
approximately $0.9 million during the  1998  Quarter  primarily  due  to  recent
drilling  success  and higher natural gas prices.  The Company's U.S. production
volumes increased by 10% and natural  gas  prices increased by $0.21 per Mcf, or
11%, to $2.06 per Mcf in the 1998  Quarter  from  $1.85  per  Mcf  in  the  1997
Quarter.

The  Company's  U.S.  production  volumes  averaged  94.6  million  cubic   feet
equivalents ("Mmcfe") per day in the 1998 Quarter compared to 86.1 Mmcfe per day
in  the  1997  Quarter.   The  Company's U.S. production outside of the Bob West
Field rose to 52% of total U.S.  production during the 1998 Quarter, as compared
to 18% in the 1997 Quarter.  This increase was attributable to  the  development
of  fields  discovered  in  the  Val Verde Basin, the Upper Wilcox Trend and the
Frio/Vicksburg Trend.

Gross operating revenues from  the  Company's  U.S. operations increased by $2.8
million, due to higher spot market prices for sales of natural gas and increased
production volumes.  Other income in the 1998 Quarter included  the  receipt  of
funds from an operator discussed above.  Production costs per Mcfe remained flat
at $0.23 per Mcfe, while total production costs increased by $0.2 million due to
higher  volumes.   Depreciation,  depletion  and  amortization increased by $2.0
million, or 27%, due to a higher depletion rate and increased volumes.

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 18% of the natural gas production  that it sold in the spot market
and recognized a gain of $0.2 million ($0.02 per Mcf)  related  to  these  price
agreements.   The  Company  did  not  have any such transactions during the 1997
Quarter.

SIX MONTHS ENDED JUNE 30,  1998  COMPARED  WITH  SIX MONTHS ENDED JUNE 30, 1997.
Segment operating profit of $36.4 million from the  Company's  U.S.  exploration
and  production  operations  in the 1998 Period compares to $19.5 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, discussed
above.  Excluding these significant items, segment operating profit decreased by
approximately  $2.6 million primarily due to lower natural gas prices and higher
depreciation, depletion and amortization.

Prices realized by the Company on its spot natural gas production declined by 3%
to  $2.04 per Mcf in the 1998 Period from $2.11 per Mcf in the 1997 Period.  The
Company's U.S. production averaged 97.4  Mmcfe  per  day  in the 1998 Period, an
increase of 6.9 Mmcfe per day over the 1997 Period.

Gross operating revenues from the Company's U.S. operations  increased  by  $0.4
million  as  higher  production  volumes  were generally offset by lower prices.
Production costs were higher  by  $1.0  million,  primarily  due to higher lease
operating expenses.  Lease operating costs increased from $0.17 per Mcfe in  the
1997  Period  to $0.21 per Mcfe in the 1998 Period.  Depreciation, depletion and
amortization increased by $3.0 million, or  20%,  due to a higher depletion rate
and increased volumes.

During the 1998 and 1997 Periods, the Company used commodity price agreements to
set the price of approximately 9% and 17%,  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 $0.2  million  ($0.01 per Mcf) and a loss of $1.6
million ($0.10 per Mcf), respectively, from these price agreements.

BOLIVIA

THREE MONTHS ENDED JUNE 30, 1998 COMPARED WITH THREE MONTHS ENDED JUNE 30, 1997.
Segment operating profit from the Company's Bolivian operations  decreased  $3.4
million  from  $4.1  million  in  the  1997  Quarter to $0.7 million in the 1998
Quarter.  The 1997 Quarter included other  income of $2.2 million related to the
collection of a receivable for production  in  prior  periods.   Excluding  this
other income, segment operating profit decreased by $1.2

                                       18
<PAGE>
million  during the 1998 Quarter due to a decline in natural gas prices together
with a charge for prior  period  taxes.   Bolivian natural gas prices, which are
contractually tied to posted New York fuel oil prices, fell 33% from  $1.25  per
Mcf  in  the  1997  Quarter  to  $0.83  per  Mcf  in the 1998 Quarter.  However,
production volumes increased from  20.4  Mmcfe  per  day  to  30.8 Mmcfe per day
resulting in an overall  revenue  increase  of  $0.2  million.   The  production
increase  was  due  in  part  to  the  July 1997 buyout of interests held by the
Company's  former  joint  venture  participant,  increasing  its  share  of  net
production by approximately 33%.   The  increase  in depreciation, depletion and
amortization was due to higher production volumes and a higher depletion rate.

SIX MONTHS ENDED JUNE 30, 1998 COMPARED WITH SIX MONTHS  ENDED  JUNE  30,  1997.
Segment  operating  profit from the Company's Bolivian operations decreased $2.7
million from $5.1 million in the 1997 Period to $2.4 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 $0.5 million from the 1997
Period.  Bolivian natural gas prices  fell  30%  from  $1.28 per Mcf in the 1997
Period to $0.90 per Mcf in the 1998  Period  and  condensate  prices  fell  from
$17.38  to  $14.42  per barrel.  However, production volumes increased from 16.7
Mmcfe per day to 29.2 Mmcfe per  day resulting in an overall revenue increase of
$1.4 million.  The Company's share of net production increased by  approximately
33%  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
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 early 1999, there can be no assurance that the pipeline will  be  operational
by  such  date.  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.  The Company spudded two wells
during the second quarter of 1998 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.

                                       19
<PAGE>
<TABLE>
<CAPTION>
MARINE SERVICES
                                           Three Months Ended    Six Months Ended
                                                June 30,            June 30,
                                           ------------------   -----------------
                                             1998     1997       1998     1997
                                             ----     ----       ----     ----
                                                    (Dollars in Millions)
<S>                                         <C>      <C>        <C>      <C>
Gross Operating Revenues:
 Fuels . . . . . . . . . . . . . . . . .   $ 22.5   $ 24.2     $ 48.3   $ 52.4
 Lubricants and other. . . . . . . . . .      3.8      3.8        7.9      8.1
 Services. . . . . . . . . . . . . . . .      2.8      2.3        5.7      5.3
                                            -----    -----      -----    -----
  Gross Operating Revenues . . . . . . .     29.1     30.3       61.9     65.8
Costs of Sales . . . . . . . . . . . . .     19.8     22.4       43.4     49.7
                                            -----    -----      -----    -----
  Gross Profit . . . . . . . . . . . . .      9.3      7.9       18.5     16.1
Operating and Other Expenses . . . . . .      7.2      7.0       14.0     13.9
Depreciation and Amortization. . . . . .      0.5      0.4        1.1      0.8
                                            -----    -----      -----    -----
   Segment Operating Profit. . . . . . .   $  1.6   $  0.5     $  3.4   $  1.4
                                            =====    =====      =====    =====

Sales Volumes (millions of gallons):
 Fuels, primarily diesel . . . . . . . .     43.6     37.5       91.5     77.1
 Lubricants. . . . . . . . . . . . . . .      0.5      0.7        1.2      1.3

Capital Expenditures . . . . . . . . . .   $  1.4   $  1.1     $  2.6   $  3.3
</TABLE>

Gross operating revenues declined by  $1.2  million  and $3.9 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.  In total, segment operating profit
improved by $1.1 million and $2.0 million in the 1998 Quarter and  1998  Period,
respectively, largely due to increased 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.

INTEREST EXPENSE

Interest expense increased by  $4.2  million  and  $5.3  million during the 1998
Quarter and 1998 Period, respectively.  These increases were  primarily  due  to
higher  borrowings  under  the  Company's credit arrangements to fund the Hawaii
Acquisition and the  Refinancing  (see  Notes  B  and  C  of  Notes to Condensed
Consolidated Financial Statements), together with borrowings to fund net working
capital requirements and capital expenditures.

OTHER OPERATING COSTS AND OTHER EXPENSES

Other operating costs and other expense for the 1998  Quarter  and  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 $2.8  million and $4.1 million in the 1998
Quarter and 1998 Period, respectively, resulting in effective tax rates  of  43%
in  1998  and 36% in 1997.  The increase in the effective tax rate was primarily
due to higher foreign  taxes  on  the  Company's increased Bolivian revenues and
higher  consolidated  earnings  which  reduced  available  net  operating   loss
carryforwards.

                                       20
<PAGE>
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  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.   Subsequent  to  June 30, 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  will  provide  the
Company  with  enhanced financial flexibility, such as increased working capital
capacity  and  funds  for  general  corporate  purposes,  including  the capital
expenditures projected 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 underwiters
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 is offering, 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.

See  Changes in Securities and Use of Proceeds in Part II, Item 2, and Note C of
Notes to Condensed Consolidated Financial  Statements for information related to
the Senior Credit  Facility,  Senior  Subordinated  Notes  and  PIES,  including
restrictions on dividends.

Capitalization

Upon  issuance of the Senior Subordinated Notes, Common Stock and PIES, entering
into the  Senior  Credit  Facility  and  the  application  of  the estimated net
proceeds therefrom, the Company's pro forma indebtedness as of June 30,

                                       21
<PAGE>
1998 would have been approximately $484 million (excluding  an  additional  $348
million    available    under    the    Senior    Credit    Facility)   with   a
debt-to-capitalization ratio of 45%.   Historically,  total indebtedness at June
30, 1998 was $454 million, with a debt-to-capitalization ratio of 56%.

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 and in Part
II, Item 2, 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)

For the year 1998, the Company's capital spending is  projected  to  total  $222
million,  which  includes  estimated  capital  expenditures  for  the operations
recently acquired.  Capital expenditures  for  1998  are expected to be financed
through a combination of cash flows from operations, available cash reserves and
additional borrowings under credit arrangements.   Actual  capital  expenditures
may vary from these projections due to a number of factors, including the timing
of  drilling  projects  and the extent to which properties are acquired.  During
the 1998 Period, the  Company's  capital  expenditures totaled $62 million which
were financed primarily with external financing  and  internally-generated  cash
flows.

The  Exploration  and  Production  segment  accounts  for  $138  million  of the
projected capital spending with $88 million  planned for U.S. activities and $50
million  for  Bolivia.   Planned  U.S.  expenditures  include  $20  million  for
acquisitions, $26 million for development drilling (participation in 25  wells),
$14  million  for  leasehold,  geological  and  geophysical, and $23 million for
exploratory drilling (participation  in  25  wells).   In  Bolivia, the drilling
program is projected at $13 million for development drilling (two wells) and $18
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 $38 million, principally for the  participation  in  the
drilling  of  eleven  development  wells  (ten completed) and eleven exploratory
wells (five  completed).   In  Bolivia,  capital  spending  for  the 1998 Period
totaled $12 million, primarily for drilling two wells in progress.

Capital spending for the Refining  and  Marketing  segment  is  planned  at  $66
million  for the year 1998, which includes $25 million for retail marketing, $23
million for improvements to  the  refineries  and  $12 million for environmental
projects.  The Refining and Marketing segment  spent  approximately  $7  million
towards  these  projects  during  the  1998 Period.  The Marine Services capital
projections are $6 million for  the  year  1998,  of  which $3 million was spent
during the 1998  Period,  and  are  primarily  directed  towards  equipment  and
facility  upgrades.   Remaining capital projections of approximately $12 million
are  primarily  related  to   corporate  projects,  including  installation  and
implementation of an integrated software system and other upgrades.

CASH FLOWS

Components of the Company's cash flows are set forth below (in millions):
<TABLE>
<CAPTION>
                                                        Six Months Ended
                                                            June 30,
                                                        ----------------
                                                         1998      1997
                                                         ----      ----
<S>                                                    <C>        <C>
Cash Flows From (Used In):
  Operating Activities . . . . . . . . . . . . . . .  $  43.9  $   57.4
  Investing Activities . . . . . . . . . . . . . . .   (315.6)    (45.0)
  Financing Activities . . . . . . . . . . . . . . .    289.7      (0.3)
                                                       -------   -------
Increase in Cash and Cash Equivalents. . . . . . . .  $  18.0  $   12.1
                                                       =======   =======
</TABLE>

Net cash from  operating  activities  of  $44  million  during  the 1998 Period,
compared to $57 million during the 1997 Period.  Although the level of  earnings
during both periods was relatively comparable, working capital components

                                       22
<PAGE>
were  higher  during the 1998 Period primarily due to the increased refining and
marketing activities.  Net cash  used  in  investing  activities of $316 million
during the 1998 Period  included  approximately  $243  million  for  the  Hawaii
Acquisition,  capital  expenditures  of $62 million, and an escrow deposit of $5
million for the Washington Acquisition.   Net  cash from financing activities of
$290 million included gross borrowings under  revolving  credit  lines  of  $421
million,  with  $28 million of repayments, offset by the refinancing and payment
of other debt.  At June 30, 1998, the Company's net working capital totaled $162
million, which included cash and cash equivalents of $26 million.

ENVIRONMENTAL AND OTHER

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  June  30,  1998,  the  Company's
accruals  for  environmental  expenses amounted to $10.9 million, which includes
approximately $2.5 million for  remediation  of  KPL's properties (funded by the
former owners of KPL through a restricted escrow deposit).  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 that it will make
capital improvements of approximately $10 million in 1998 and $5 million in 1999
to comply with environmental laws  and  regulations affecting its Alaska, Hawaii
and Gulf Coast operations.  In addition, capital  expenditures  for  alternative
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 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 contingencies,  including  environmental  matters  related  to the
Acquisitions, see Note E of Notes to Condensed Consolidated Financial Statements
and Legal Proceedings in Part II, Item 1, included herein.

The Company's results for the 1998  Quarter  and  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.

YEAR 2000 COMPLIANCE

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  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 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.   It  is  anticipated  that
modification  or  replacement  of  the  Company's  Systems  and Programs will be
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

                                       23
<PAGE>
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  currently  anticipates  that the 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 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 has been and will continue to be capitalized in accordance with  normal
accounting  policy.   Personnel  and  other  costs will also be accounted for as
appropriate under normal accounting policy.

The Company has recently undertaken a  review of the year 2000 compliance status
of BHP Hawaii and Shell Washington, and is currently unable to determine whether
it has exposure to contingencies related to the year 2000  issue  in  connection
with the Acquisitions.

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.

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
and  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

                                       24
<PAGE>
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.

                                       25
<PAGE>
                          PART II - OTHER INFORMATION

ITEM 1.  LEGAL PROCEEDINGS

     The Hawaii Department of Health ("HDOH"), under  authority  of  the  Hawaii
     Environmental   Response   Law,   has   undertaken   an   investigation  of
     environmental conditions within  a  portion  of  the  Honolulu Harbor area,
     which has been designated the Iwilei  Unit,  to  determine  the  extent  of
     hydrocarbon  contamination.   A group of owners and operators at the Iwilei
     Unit, including BHP Hawaii,  have  entered  into a voluntary agreement with
     the HDOH to undertake an initial phase of environmental site  investigation
     within  the  Iwilei Unit in exchange for certain commitments from the HDOH,
     including the  notification  of  additional  PRPs  to  participate  in this
     activity.  The costs associated with this proceeding cannot  be  determined
     at  this  early  stage.   BHP  Hawaii  owned and operated facilities in the
     Iwilei Unit, including, but not limited  to the Pier 29 terminal facilities
     (which were returned, upon expiration of the lease term, to  the  State  of
     Hawaii  Department  of  Transportation) and the Pier 34 terminal facilities
     (which are now owned and  operated  by  the  Company under a lease with the
     same  agency).   Under  the  indemnity  provisions  of  the   environmental
     agreement  between  the  BHP  Sellers and the Company, the Company is fully
     indemnified for claims arising out of  this proceeding as it relates to the
     Iwilei Unit by affiliates of BHP and this indemnity is not subject  to  the
     $9.5 million cap or ten-year claim period.

     The  EPA issued a Notice of Violation ("NOV") on June 24, 1997, against the
     Hawaii Refinery alleging violations of  the Clean Water Act associated with
     the content and implementation of the refinery's Spill Prevention,  Control
     and Countermeasures ("SPCC") Plan, and further alleging violations based on
     a  series  of  oil  releases.   The  Company  and the EPA remain engaged in
     settlement  discussions   with   remaining   issues   limited   to  alleged
     deficiencies in the  content  and  implementation  of  the  refinery  Spill
     Prevention,  Control  and Countermeasures Plan.  This proceeding is subject
     to the indemnity provision of  the  environmental agreement between the BHP
     Sellers and the Company.

     Also on June 24, 1997, a NOV was issued against BHP companies  pursuant  to
     Section  103  of the Comprehensive Environmental Response, Compensation and
     Liability Act ("CERCLA")  and  Section  304  of  the Emergency Planning and
     Community Right to Know Act ("EPCRA") regarding past releases of reportable
     quantities of regulated substances and oil.  This matter remains subject to
     EPA review and penalty amounts  have  not  been  assessed  to  date.   This
     proceeding  is  subject  to  the  indemnity provisions of the environmental
     agreement between the BHP Sellers and the Company.

     On August 5, 1996, the  EPA  issued  a Finding of Violation ("FOV") against
     BHP Hawaii pursuant to disclosures made by BHP Hawaii pursuant to a  permit
     application  for  compliance with Title V of the Clean Air Act. The parties
     have engaged in  settlement  negotiations  and  no  penalty amount has been
     assessed.  This proceeding is subject to the  indemnity  provision  of  the
     environmental agreement between affiliates of BHP and the Company.

     The  EPA  issued  a  NOV  on  May 19, 1998, against Tesoro Alaska Petroleum
     Company, a subsidiary of the  Company,  alleging violations of the Resource
     Conservation and Recovery Act  ("RCRA")  associated  with  the  failure  to
     maintain  closure  of  certain  containers of hazardous waste at the Alaska
     Refinery when not in use and  the failure to retain on-site certain records
     of land disposal restriction notifications.  The Company has  initiated  an
     investigation  into  these  allegations,  but  does  not  believe  that the
     resolution thereof will have a material effect on the Company.

     The EPA has notified Shell  Washington  that  it  is a PRP at the Swinomish
     dump site in Washington State.   In  the  environmental  agreement  between
     Shell  Washington  and  the Company, the Shell Seller has fully indemnified
     the Company for environmental liabilities  arising from wastes delivered to
     the Swinomish dump site prior to the closing of the Washington Acquisition.

                                       26
<PAGE>
ITEM 2.  CHANGES IN SECURITIES AND USE OF PROCEEDS

     On July 2, 1998, the Company  entered into the Senior Credit Facility under
     which the Company is required to maintain specified levels of  consolidated
     leverage   and   interest   coverage   and  contains  other  covenants  and
     restrictions customary in credit  arrangements  of  this kind.  Among other
     matters, the terms of the Senior Credit Facility allow for payment of  cash
     dividends  on its 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.

     Concurrently with the syndication of the Senior Credit Facility, on July 2,
     1998, the Company  issued  the  Senior  Subordinated  Notes.  The Indenture
     governing the Senior Subordinated Notes contains  customary  covenants  and
     restrictions  which are less restrictive than those under 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.

     For further information related to the Senior Credit  Facility  and  Senior
     Subordinated Notes, see Note C of Notes to Condensed Consolidated Financial
     Statements in Part I, Item 1.

     On  July  1, 1998 the Company issued 9,000,000 PIES and on July 8, 1998 the
     Company issued 1,350,000 PIES.   Each  PIES  consists of a depositary share
     representing one one-hundredth of a share of 7.25% Mandatorily  Convertible
     Preferred Stock ("Mandatorily Convertible Preferred Stock") of the Company.
     Dividends  are  payable  at  $1.1555  per annum per PIES, subject to upward
     adjustment in certain events.  At any  time  after July 26, 1998 but before
     July 1, 2001 (the "Mandatory Conversion Date"), 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 the Mandatory Conversion Date,
     each PIES not previously  converted  will automatically convert into shares
     of Common Stock at the Conversion Rate.  The "Conversion Rate" is,  subject
     to  adjustment  in certain events, equal to (a) if the Conversion Price (as
     defined  below)  is  greater  than  or  equal  to  $18.85  (the  "Threshold
     Appreciation Price"), 0.8455 shares of  Common  Stock  per PIES, (b) if the
     Conversion Price is less than $18.85 but more than $15.9375  (the  "Initial
     Price"),  a  fraction, equal to the Initial Price divided by the Conversion
     Price, of one share of  Common  Stock  per  PIES  and (c) if the Conversion
     Price is less than or equal to the Initial Price, one share of Common Stock
     per PIES.  The Threshold Appreciation Price and the Initial Price are  also
     subject  to  adjustment  in  certain events.  The "Conversion Price" is the
     average closing price per share  of  Common  Stock  for the 20 trading days
     immediately prior to, but not including,  the  Mandatory  Conversion  Date.
     The  holders  of  PIES  are  entitled to direct the voting of the shares of
     Mandatorily  Convertible  Preferred  Stock.   The  Mandatorily  Convertible
     Preferred Stock has  no  voting  rights,  except  as required by applicable
     state law and except that (i) if dividends on the  Mandatorily  Convertible
     Preferred Stock or any other series of the Company's Preferred Stock are in
     arrears  and  unpaid  for six consecutive quarterly dividend periods, or if
     any other series of the Company's Preferred Stock shall be entitled for any
     other reason to exercise voting rights,  separate from the Common Stock, to
     elect any directors of the Company, the Mandatorily  Convertible  Preferred
     Stock (voting as a class with certain other series of Preferred Stock) will
     be  entitled to elect two directors of the Company and (ii) the Mandatorily
     Convertible Preferred  Stock  has  voting  rights  with  respect to certain
     alterations of the Company's  Restated  Certificate  of  Incorporation  and
     Bylaws  and  the  creation  or  authorization  of  Preferred Stock or other
     capital stock (or securities convertible  into capital stock) ranking prior
     to the Mandatorily  Convertible  Preferred  Stock  as  to  the  payment  of
     dividends   or   liquidation   preferences.   The  Mandatorily  Convertible
     Preferred Stock ranks prior to the  Common Stock as to payment of dividends
     and distributions of assets upon liquidation.  The  liquidation  preference
     of  each  PIES  is  an amount equal to the sum of (i) $15.9375 and (ii) all
     accrued and unpaid dividends thereon.

                                       27
<PAGE>
ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

     (a) Exhibits

         See  the  Exhibit  Index  immediately  preceding  the  exhibits   filed
         herewith.

     (b) Reports on Form 8-K

         A  Current  Report  on  Form  8-K  was filed on May 13, 1998, reporting
         information under Item 5 related to the Company's acquisition of all of
         the outstanding stock of BHP  Petroleum  Americas Refining Inc. and BHP
         Petroleum South Pacific Inc. (collectively, "BHP  Hawaii")  and  filing
         financial  statements  of  BHP  Hawaii  and related pro forma financial
         information under Item 7.   Financial  statements  included in the Form
         8-K were as follows:  (i) Audited Combined Financial Statements of  BHP
         Petroleum  Americas  Refining Inc. and BHP Petroleum South Pacific Inc.
         as of May 31,  1997  and  1996;  and  (ii) Unaudited Combined Financial
         Statements of BHP Petroleum Americas Refining Inc.  and  BHP  Petroleum
         South  Pacific  Inc.  as  of  December  31,  1997  and 1996.  Pro Forma
         Combined Condensed Financial Statements  of  the Company, BHP Petroleum
         Americas Refining Inc. and BHP Petroleum South Pacific Inc. as  of  and
         for the year ended December 31, 1997 were also filed.

         A  Current Report on Form 8-K, dated May 29, 1998, was filed on June 5,
         1998, reporting under  Item  2,  Acquisition  or Disposition of Assets,
         that on May 29, 1998 the Company completed the acquisition  of  all  of
         the  outstanding  capital stock of BHP Petroleum Americas Refining Inc.
         and BHP Petroleum South Pacific Inc.,  both of which were affiliates of
         The  Broken  Hill  Proprietary  Company  Limited.   Combined  financial
         statements of BHP Petroleum Americas Refining Inc.  and  BHP  Petroleum
         South Pacific Inc. and related pro forma financial information had been
         previously  filed  in  the  Current Report on Form 8-K filed on May 13,
         1998.  Included under Item 7  of  the  Form  8-K dated May 29, 1998 and
         filed on June 5,  1998  were  the  following:   (i)  Audited  Financial
         Statements  of Shell Anacortes Refining Company as of December 31, 1996
         and 1997 and  (ii)  Unaudited  Financial  Statements of Shell Anacortes
         Refining Company as of March 31, 1998.

         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.

                                       28
<PAGE>
                                   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:   August 14, 1998             /s/           BRUCE A. SMITH
                                                  Bruce A. Smith
                                       Chairman of the Board of Directors,
                                      President and Chief Executive Officer







Date:   August 14, 1998             /s/           DON M. HEEP
                                                  Don M. Heep
                                            Vice President, Controller
                                            (Chief Accounting Officer)

                                       29
<PAGE>
                                 EXHIBIT INDEX



EXHIBIT
NUMBER

  27    Financial Data Schedule (June 30, 1998).

                                       30
<PAGE>

<TABLE> <S> <C>

<ARTICLE>  5
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM TESORO
PETROLEUM CORPORATION'S FINANCIAL STATEMENTS AS OF AND FOR THE SIX MONTH PERIOD
ENDED JUNE 30, 1998 AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATEMENTS.
</LEGEND>
<MULTIPLIER>  1,000
       
<S>                                      <C>
<PERIOD-TYPE>                                   6-MOS
<FISCAL-YEAR-END>                         DEC-31-1998
<PERIOD-END>                              JUN-30-1998
<CASH>                                         26,408
<SECURITIES>                                        0
<RECEIVABLES>                                 113,939
<ALLOWANCES>                                    1,886
<INVENTORY>                                   175,446
<CURRENT-ASSETS>                              322,860
<PP&E>                                        997,918
<DEPRECIATION>                                331,730
<TOTAL-ASSETS>                              1,041,888
<CURRENT-LIABILITIES>                         160,670
<BONDS>                                       451,670
<COMMON>                                        4,480
                               0
                                         0
 <OTHER-SE>                                   345,957
<TOTAL-LIABILITY-AND-EQUITY>                1,041,888
<SALES>                                       453,450
<TOTAL-REVENUES>                              474,868
<CGS>                                         378,333
<TOTAL-COSTS>                                 378,333
<OTHER-EXPENSES>                               28,155
<LOSS-PROVISION>                                    0
<INTEREST-EXPENSE>                              8,418
<INCOME-PRETAX>                                29,929
<INCOME-TAX>                                   12,993
<INCOME-CONTINUING>                            16,936
<DISCONTINUED>                                      0
<EXTRAORDINARY>                                (4,641)
<CHANGES>                                           0
<NET-INCOME>                                   12,295
<EPS-PRIMARY>                                    0.47               <F1>
<EPS-DILUTED>                                    0.46               <F1>
<FN>
<F1>  Earnings  per  share  is after an extraordinary loss of $4.6 million ($0.17 loss per basic
      and diluted share) on extinguishment of debt.

        

</TABLE>


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