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 MARCH 31, 1997

                                       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 26,789,655 shares of the Registrant's  Common  Stock  outstanding  at
April 30, 1997.


                 TESORO PETROLEUM CORPORATION AND SUBSIDIARIES

                         QUARTERLY REPORT ON FORM 10-Q

                 FOR THE QUARTERLY PERIOD ENDED MARCH 31, 1997

                               TABLE OF CONTENTS



PART I.  FINANCIAL INFORMATION                                         PAGE

  Item 1.  Financial Statements (Unaudited)

   Condensed Consolidated Balance Sheets - March 31, 1997 and
    December 31, 1996. . . . . . . . . . . . . . . . . . . . . . .      3

   Condensed Statements of Consolidated Operations - Three Months
    Ended March 31, 1997 and 1996. . . . . . . . . . . . . . . . .      4

   Condensed Statements of Consolidated Cash Flows - Three Months
    Ended March 31, 1997 and 1996. . . . . . . . . . . . . . . . .      5

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

  Item 2.  Management's Discussion and Analysis of Financial
   Condition and Results of Operations . . . . . . . . . . . . . .      8

PART II.  OTHER INFORMATION

  Item 6.  Exhibits and Reports on Form 8-K. . . . . . . . . . . .     18

SIGNATURES . . . . . . . . . . . . . . . . . . . . . . . . . . . .     19

                                       2

                         PART I - FINANCIAL INFORMATION



ITEM 1.                      FINANCIAL STATEMENTS

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

                                                        March 31,   December 31,
                                                          1997          1996<F1>
                                                          ----          ----
                                                                 
                         ASSETS
CURRENT ASSETS:
  Cash and cash equivalents . . . . . . . . . . . . .  $  31,363        22,796
  Receivables, less allowance for doubtful
    accounts of $1,499 ($1,515 at
    December 31, 1996). . . . . . . . . . . . . . . .     84,480       128,013
  Inventories:
    Crude oil and wholesale refined products,
     at LIFO. . . . . . . . . . . . . . . . . . . . .     58,423        55,858
    Merchandise and other refined products. . . . . .     14,045        13,539
    Materials and supplies. . . . . . . . . . . . . .      5,109         5,091
  Prepayments and other . . . . . . . . . . . . . . .      8,329        12,046
                                                         -------       -------
    Total Current Assets. . . . . . . . . . . . . . .    201,749       237,343
                                                         -------       -------
PROPERTY, PLANT AND EQUIPMENT:
  Refining and marketing. . . . . . . . . . . . . . .    331,401       328,522
  Exploration and production:
    Oil and gas (full cost method of accounting). . .    202,794       191,777
    Gas transportation. . . . . . . . . . . . . . . .      6,703         6,703
  Marine services . . . . . . . . . . . . . . . . . .     35,645        33,820
  Corporate . . . . . . . . . . . . . . . . . . . . .     12,639        12,531
                                                         -------       -------
                                                         589,182       573,353
    Less accumulated depreciation, depletion and
      amortization. . . . . . . . . . . . . . . . . .    268,471       256,842
                                                         -------       -------
        Net Property, Plant and Equipment . . . . . .    320,711       316,511
                                                         -------       -------
OTHER ASSETS. . . . . . . . . . . . . . . . . . . . .     29,511        28,733
                                                         -------       -------
         TOTAL ASSETS . . . . . . . . . . . . . . . .  $ 551,971       582,587
                                                         =======       =======
                LIABILITIES AND STOCKHOLDERS' EQUITY

CURRENT LIABILITIES:
  Accounts payable. . . . . . . . . . . . . . . . . .  $  54,639        80,747
  Accrued liabilities . . . . . . . . . . . . . . . .     30,556        33,256
  Current income taxes payable. . . . . . . . . . . .      1,597        13,822
  Current portion of long-term debt and other
    obligations . . . . . . . . . . . . . . . . . . .     10,241        10,043
                                                         -------       -------
      Total Current Liabilities . . . . . . . . . . .     97,033       137,868
                                                         -------       -------

DEFERRED INCOME TAXES . . . . . . . . . . . . . . . .     20,577        19,151
                                                         -------       -------
OTHER LIABILITIES . . . . . . . . . . . . . . . . . .     44,884        42,243
                                                         -------        ------
LONG-TERM DEBT AND OTHER OBLIGATIONS, LESS
  CURRENT PORTION . . . . . . . . . . . . . . . . . .     79,063        79,260
                                                         -------       -------
COMMITMENTS AND CONTINGENCIES (Note 2)

STOCKHOLDERS' EQUITY:
  Common Stock, par value $.16-2/3; authorized
    50,000 shares;  26,439 shares issued and
    outstanding (26,414 in 1996). . . . . . . . . . .      4,406         4,402
  Additional paid-in capital. . . . . . . . . . . . .    189,582       189,368
  Retained earnings . . . . . . . . . . . . . . . . .    116,426       110,295
                                                         -------       -------
    Total Stockholders' Equity. . . . . . . . . . . .    310,414       304,065
                                                         -------       -------
         TOTAL LIABILITIES AND STOCKHOLDERS' EQUITY .  $ 551,971       582,587
                                                         =======       =======

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

<FN>
<F1> The balance sheet at  December  31,  1996  has  been taken from the audited
     consolidated financial statements at that date and condensed.


                                       3



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


                                                         Three Months Ended
                                                             March 31,
                                                         -------------------
                                                           1997       1996
                                                           ----       ----
                                                               
REVENUES:
 Refining and marketing . . . . . . . . . . . . . . .  $ 174,400     187,779
 Exploration and production . . . . . . . . . . . . .     23,358      27,521
 Marine services. . . . . . . . . . . . . . . . . . .     35,495      23,282
 Other income . . . . . . . . . . . . . . . . . . . .      1,599       5,005
                                                         -------     -------
  Total Revenues. . . . . . . . . . . . . . . . . . .    234,852     243,587
                                                         -------     -------
OPERATING COSTS AND EXPENSES:
 Refining and marketing . . . . . . . . . . . . . . .    171,154     187,257
 Exploration and production . . . . . . . . . . . . .      2,845       3,406
 Marine services. . . . . . . . . . . . . . . . . . .     34,216      22,481
 Depreciation, depletion and amortization . . . . . .     11,597       9,767
                                                         -------     -------
  Total Operating Costs and Expenses. . . . . . . . .    219,812     222,911
                                                         -------     -------

OPERATING PROFIT. . . . . . . . . . . . . . . . . . .     15,040      20,676


General and Administrative. . . . . . . . . . . . . .     (3,038)     (2,971)
Interest Expense. . . . . . . . . . . . . . . . . . .     (1,570)     (3,945)
Interest Income . . . . . . . . . . . . . . . . . . .        434         409
Other Expense, Net. . . . . . . . . . . . . . . . . .     (1,291)     (5,432)
                                                         -------     -------

EARNINGS BEFORE INCOME TAXES. . . . . . . . . . . . .      9,575       8,737
Income Tax Provision. . . . . . . . . . . . . . . . .      3,444       2,767
                                                         -------     -------

NET EARNINGS. . . . . . . . . . . . . . . . . . . . .  $   6,131       5,970
                                                         =======     =======

NET EARNINGS PER SHARE. . . . . . . . . . . . . . . .  $     .23         .23
                                                         =======     =======
WEIGHTED AVERAGE COMMON AND COMMON
 EQUIVALENT SHARES. . . . . . . . . . . . . . . . . .     26,829      25,674
                                                         =======     =======

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


                                       4



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

                                                         Three Months Ended
                                                             March 31,
                                                         -------------------
                                                           1997         1996
                                                           ----         ----
                                                               
CASH FLOWS FROM (USED IN) OPERATING ACTIVITIES:
  Net earnings. . . . . . . . . . . . . . . . . . . .  $   6,131       5,970
  Adjustments to reconcile net earnings to net
   cash from operating activities:
     Depreciation, depletion and amortization . . . .     11,747       9,979
     Amortization of deferred charges and other . . .         51         404
     Changes in operating assets and liabilities:
       Receivable from Tennessee Gas Pipeline Company        -        (6,521)
       Receivables, other trade . . . . . . . . . . .     43,533      (8,929)
       Inventories. . . . . . . . . . . . . . . . . .     (3,089)     16,582
       Other assets . . . . . . . . . . . . . . . . .      3,487         297
       Accounts payable and other current liabilities    (40,741)     (1,396)
       Obligation payments to State of Alaska . . . .     (1,064)       (940)
       Deferred income taxes. . . . . . . . . . . . .      1,426       1,919
       Other liabilities and obligations. . . . . . .      2,276         669
                                                         -------     -------
         Net cash from operating activities . . . . .     23,757      18,034
                                                         -------     -------
  CASH FLOWS FROM (USED IN) INVESTING ACTIVITIES:
  Capital expenditures. . . . . . . . . . . . . . . .    (16,300)    (14,249)
  Acquisition of Coastwide Energy Services, Inc.. . .        -        (7,720)
  Other . . . . . . . . . . . . . . . . . . . . . . .       (479)     (2,042)
                                                         -------     -------
         Net cash used in investing activities. . . .    (16,779)    (24,011)
                                                         -------     -------

CASH FLOWS FROM (USED IN) FINANCING ACTIVITIES:
  Borrowings, net of repayments of  $1,000 in 1997
   and $4,200 in 1996, under revolving credit
   facilities . . . . . . . . . . . . . . . . . . . .      2,182         -
  Payments of long-term debt. . . . . . . . . . . . .       (764)     (1,004)
  Other . . . . . . . . . . . . . . . . . . . . . . .        171          16
                                                         -------     -------
         Net cash from (used in) financing activities      1,589        (988)
                                                         -------     -------

INCREASE (DECREASE) IN CASH AND CASH EQUIVALENTS. . .      8,567      (6,965)

CASH AND CASH EQUIVALENTS AT BEGINNING OF PERIOD. . .     22,796      13,941
                                                         -------     -------

CASH AND CASH EQUIVALENTS AT END OF PERIOD. . . . . .  $  31,363       6,976
                                                         =======     =======
SUPPLEMENTAL CASH FLOW DISCLOSURES:
  Interest paid . . . . . . . . . . . . . . . . . . .  $   1,010       2,988
                                                         =======     =======
  Income taxes paid . . . . . . . . . . . . . . . . .  $  14,245         835
                                                         =======     =======

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


                                       5

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

NOTE 1 - BASIS OF PRESENTATION

The  interim  condensed  consolidated  financial  statements 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 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, 1996.

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.  Certain reclassifications
have been made to amounts previously reported for the interim period of 1996  to
conform to the current presentation of financial information.

NOTE 2 - COMMITMENTS AND CONTINGENCIES

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  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 in settlement discussions with  the  Environmental
Protection  Agency  ("EPA")  and  other  potentially  responsible parties 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 own
properties.

At March 31, 1997, the Company's accruals for environmental expenses amounted to
$8.8 million,  which  included  a  noncurrent  liability  of  approximately $3.3
million for remediation of Kenai Pipe Line Company's ("KPL") properties that has
been 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  comply  with  environmental  laws  and
regulations,  the  Company anticipates that it will make capital improvements of
approximately $6 million in  1997  and  $3  million  in  1998.  The Company also
expects to spend approximately  $6  million  by  the  year  2002  for  secondary
containment systems for existing storage tanks in Alaska.

Conditions that require additional  expenditures  may  exist for various Company
sites, including, but not limited to, the Company's  refinery,  retail  gasoline
outlets  (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.

                                       6

NOTE 3 - STOCKHOLDERS' EQUITY

STOCK REPURCHASE PROGRAM

On May 7, 1997, the Company's Board of Directors authorized the repurchase of up
to 3 million shares (approximately 11 percent of the current outstanding shares)
of Tesoro Common Stock in a buyback  program that will extend through the end of
1998.  Under the  program,  subject  to  certain  conditions,  the  Company  may
repurchase  from time to time Tesoro Common Stock in the open market and through
privately negotiated  transactions.   Purchases  will  depend  on  price, market
conditions and other factors and will be made primarily  from  cash  flow.   The
repurchased Common Stock will be accounted for as treasury stock and may be used
for  employee  benefit  plan  requirements  and  other  corporate purposes.  For
further information on  the  repurchase  program  and  related restrictions, see
"Capital Resources and Liquidity" in Management's  Discussion  and  Analysis  of
Financial Condition and Results of Operations in Item 2 herein.

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  provides
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 reaches 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  will  be  able to earn cash bonuses
equal to 25% of  their  individual  payroll  amounts  for  the  previous  twelve
complete  months  and  certain  executives have been 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.

NOTE 4 - ACCOUNTING PRONOUNCEMENTS

In February 1997, the Financial  Accounting  Standards Board issued Statement of
Financial Accounting Standards ("SFAS") No. 128, "Earnings Per Share."  SFAS No.
128, which establishes standards  for  computing  and  presenting  earnings  per
share,  is  effective  for  periods  ending after December 15, 1997 and requires
restatement of  earnings  per  share  data  presented  in  prior periods.  Early
adoption is not permitted.  The Company believes that the adoption of  SFAS  No.
128 will not materially impact its earnings per share computations.

                                       7

Item 2.          TESORO PETROLEUM CORPORATION AND SUBSIDIARIES
                    MANAGEMENT'S DISCUSSION AND ANALYSIS OF
                 FINANCIAL CONDITION AND RESULTS OF OPERATIONS

RESULTS  OF  OPERATIONS  -  THREE  MONTHS ENDED MARCH 31, 1997 COMPARED TO THREE
MONTHS ENDED MARCH 31, 1996

SUMMARY

Net earnings of $6.1 million,  or  $.23  per  share,  for the three months ended
March 31, 1997 ("1997 quarter") compare with net earnings of  $6.0  million,  or
$.23  per  share,  for  the  three months ended March 31, 1996 ("1996 quarter").
Comparability between the results for the 1997 and 1996 quarters was impacted by
certain significant items.  The  1996  quarter  included  revenues from sales of
natural gas at above-market prices under a contract with Tennessee Gas  Pipeline
Company  ("Tennessee  Gas")  which  was  terminated  effective  October 1, 1996.
Results of operations in 1997 and  future  years will no longer benefit from the
pricing provisions in the contract.  In the 1996 quarter, results included  $7.9
million pretax from the excess of these contract prices over spot market prices.
The  Company's  results  of  operations in the 1996 quarter also included income
related to retroactive severance tax refunds of $5.0 million pretax, compared to
refunds of $1.6 million pretax  in  the  1997 quarter.  Partially offsetting the
benefits in the 1996 quarter were pretax charges  of  approximately  $4  million
primarily  related to a shareholder consent solicitation resolved in April 1996,
write-off of deferred financing costs and employee termination costs.  Excluding
these significant items, the increase in pretax net earnings in the 1997 quarter
was largely due to higher  natural  gas  spot market prices, better refining and
marketing margins, and improved marine services profitability.  Additionally, at
the corporate  level,  interest  expense  was  reduced  by  nearly  60%  due  to
redemptions of the Company's public debt in late 1996.

A  discussion  and  analysis  of  the  factors contributing to these results are
presented below.  The Company conducts  its operations in the following business
segments:  Refining  and  Marketing,  Exploration  and  Production,  and  Marine
Services.

                                       8



REFINING AND MARKETING                                   Three Months Ended
                                                             March 31,
                                                         -------------------
(Dollars in millions except per unit amounts)              1997         1996
                                                           ----         ----
                                                                  
Gross Operating Revenues:
  Refined products . . . . . . . . . . . . . . . . .   $   155.8         146.7
  Other, primarily crude oil resales and
   merchandise . . . . . . . . . . . . . . . . . . .        18.6          41.0
                                                          ------        ------
    Gross Operating Revenues . . . . . . . . . . . .   $   174.4         187.7
                                                          ======        ======

Operating Profit (Loss):
  Gross margin . . . . . . . . . . . . . . . . . . .   $    24.7          22.4
  Operating expenses . . . . . . . . . . . . . . . .        21.5          21.8
  Depreciation and amortization. . . . . . . . . . .         3.1           3.0
                                                          ------        ------
    Operating Profit (Loss). . . . . . . . . . . . .   $      .1          (2.4)
                                                          ======        ======
Capital Expenditures . . . . . . . . . . . . . . . .   $     2.9           1.8
                                                          ======        ======
Refining and Marketing - Total Product Sales
 (average daily barrels)<F1>:
   Gasoline. . . . . . . . . . . . . . . . . . . . .      16,738        20,022
   Middle distillates. . . . . . . . . . . . . . . .      26,253        29,355
   Heavy oils and residual product . . . . . . . . .      17,890        17,086
                                                          ------        ------
    Total Product Sales. . . . . . . . . . . . . . .      60,881        66,463
                                                          ======        ======
Refining and Marketing - Total Product Sales Prices
 ($/barrel):
   Gasoline. . . . . . . . . . . . . . . . . . . . .   $   33.64         27.66
   Middle distillates. . . . . . . . . . . . . . . .   $   32.09         25.81
   Heavy oils and residual product . . . . . . . . .   $   18.19         17.63

Refining and Marketing - Gross Margins on
 Total Product Sales ($/barrel)<F2>:
  Average sales price. . . . . . . . . . . . . . . .   $   28.43         24.26
  Average costs of sales . . . . . . . . . . . . . .       24.63         21.22
                                                          ------        ------
   Gross margin. . . . . . . . . . . . . . . . . . .   $    3.80          3.04
                                                          ======        ======
Refinery Throughput
  Barrels per day. . . . . . . . . . . . . . . . . .      49,140        45,047
  % Alaska North Slope crude oil . . . . . . . . . .         79%           68%

Refined Products Manufactured (average daily
 barrels):
   Gasoline. . . . . . . . . . . . . . . . . . . . .      12,887        13,714
   Middle distillates. . . . . . . . . . . . . . . .      20,829        18,083
   Heavy oils and residual product . . . . . . . . .      14,539        12,321
   Other . . . . . . . . . . . . . . . . . . . . . .       2,647         2,754
                                                          ------        ------
    Total Refined Products Manufactured. . . . . . .      50,902        46,872
                                                          ======        ======
Refinery Operations - Product Spread ($/barrel)<F3>:
  Average yield value of products manufactured . . .   $   25.44         21.81
  Cost of raw materials. . . . . . . . . . . . . . .       20.54         17.92
                                                          ------        ------
   Refinery Product Spread . . . . . . . . . . . . .        4.90          3.89
  Operating costs. . . . . . . . . . . . . . . . . .        2.81          2.90
  Depreciation . . . . . . . . . . . . . . . . . . .         .55           .57
                                                          ------        ------
   Net Refinery Margin . . . . . . . . . . . . . . .   $    1.54           .42
                                                          ======        ======

 Non-Refinery Margin, included in operating profit
  above ($ millions)<F4> . . . . . . . . . . . . . .   $     3.1           6.5
                                                          ======        ======

<FN>
<F1> Sources of total  products  sales  include  products  manufactured  at  the
     refinery,  products  drawn  from  inventory balances and products purchased
     from third parties.  The Company's purchases of refined products for resale
     were approximately 11,500 and  11,000  average  daily barrels for the three
     months ended March 31, 1997 and 1996, respectively.
<F2> Margins on sales of purchased products, together with the effect of changes
     in inventories, are included in the gross margin on total product sales.
<F3> Refinery product spread  represents  the  excess  of  yield  value  of  the
     products  manufactured  at the refinery over the cost of raw materials used
     to manufacture such products.
<F4> Includes intrasegment  transportation  revenues  of  $2.8  million for both
    quarters presented.


                                       9

REFINING AND MARKETING

THREE  MONTHS  ENDED  MARCH  31, 1997 COMPARED WITH THREE MONTHS ENDED MARCH 31,
1996.  Results from the Company's Refining and Marketing segment improved during
the 1997  quarter  with  operating  profit  of  $.1  million,  compared  with an
operating loss of $2.4 million in the 1996  quarter.   Generally,  results  from
this  segment  are  weak  in  the  first quarter due to low, seasonal demand for
gasoline during the winter months  in  Alaska.  However, during the 1997 quarter
the Company benefited from several  operating  improvements  made  during  1996,
primarily  the  use  of  an  improved  catalyst  in  the hydrocracker unit.  The
improved catalyst provides  for  increased  production  of  jet  fuel, for which
Alaska is in short supply, and reduced  production  of  lower  valued  gasoline.
Production of middle distillates, including jet fuel, increased by 15% to 20,829
barrels  per  day  in  the  1997 quarter from 18,083 barrels per day in the 1996
quarter, while gasoline production declined by 6%.  Results for the 1997 quarter
also  reflected  improvements  in  the  Company's  retail  marketing activities.
Gasoline sales in Alaska increased by 2.4 million gallons in the  1997  quarter,
as compared to the 1996 quarter.

The Company was able to achieve a refinery product spread of $4.90 per barrel in
the 1997 quarter, a 26% improvement from the $3.89 per barrel spread in the 1996
quarter.   The Company's refined product yield values increased by 17% to $25.44
per barrel in the 1997 quarter from $21.81 per barrel in the 1996 quarter, while
the Company's feedstock costs increased by 15%  to $20.54 per barrel in the 1997
quarter from $17.92 per barrel in the 1996 quarter.   To  further  increase  jet
fuel  production, the Company intends to modify the refinery hydrocracker during
1997, at an estimated cost of $17 million.  In conjunction with the modification
and  other  initiatives,  a  refinery  downtime  of  approximately  30  days  is
anticipated during 1997.   The  Company  is  also  expanding  its Alaskan retail
operations with the construction of  new  outlets  and  remodeling  of  existing
outlets.

Revenues  from sales of refined products in the Company's Refining and Marketing
segment increased due primarily to higher sales prices, which rose 17% to $28.43
per barrel in the  1997  quarter  from  $24.26  per  barrel in the 1996 quarter.
Partially offsetting this increase were reduced  sales  volumes  which  averaged
60,881  barrels  per day in the 1997 quarter, compared to 66,463 barrels per day
in the 1996 quarter.  This decrease  in  sales  volumes was primarily due to the
discontinuance of certain West Coast operations.  The Company at  times  resells
previously purchased crude oil, sales of which decreased to $10.7 million in the
1997  quarter  compared  to  $34.5 million in the 1996 quarter.  During the 1997
quarter, the  Company  had  less  crude  oil  available  for  resale as refinery
throughput averaged 4,093 barrels per day more than in the 1996 quarter  and  no
spot  purchases  of  crude  oil were made.  Costs of sales decreased in the 1997
quarter due to lower volumes,  partially  offset  by higher prices for crude oil
and refined products.

Results from the Company's Refining and Marketing segment for the  1997  quarter
improved over the prior year quarter due primarily to operating efficiencies and
marketing  initiatives  implemented  by the Company during the past year and, in
part, by overall improvement in market conditions.  Future profitability of this
segment 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.

                                       10



EXPLORATION AND PRODUCTION                               Three Months Ended
                                                                March 31,
                                                         -------------------
 (Dollars in millions except per unit amounts)             1997         1996
                                                           ----         ----

                                                                  
  U.S. OIL AND GAS:
   Gross operating revenues. . . . . . . . . . . . .   $    20.1          23.1
   Other income - retroactive severance tax
     refunds . . . . . . . . . . . . . . . . . . . .         1.6           5.0
   Production costs. . . . . . . . . . . . . . . . .         1.7           1.4
   Administrative support and other operating
    expenses . . . . . . . . . . . . . . . . . . . .          .4           1.0
   Depreciation, depletion and amortization. . . . .         7.8           6.3
                                                          ------        ------
     Operating Profit - U.S. Oil and Gas<F1> . . . .        11.8          19.4
                                                          ------        ------
U.S. GAS TRANSPORTATION:
  Gross operating revenues . . . . . . . . . . . . .         1.4           1.4
  Operating expenses . . . . . . . . . . . . . . . .          .1            .1
  Depreciation and amortization. . . . . . . . . . .          .1            .1
                                                          ------        ------
     Operating Profit - U.S. Gas Transportation. . .         1.2           1.2
                                                          ------        ------
BOLIVIA:
  Gross operating revenues . . . . . . . . . . . . .         1.9           3.1
  Production costs . . . . . . . . . . . . . . . . .          .2            .2
  Administrative support and other operating
   expenses. . . . . . . . . . . . . . . . . . . . .          .5            .7
  Depreciation, depletion and amortization . . . . .          .2            .3
                                                          ------        ------
     Operating Profit - Bolivia. . . . . . . . . . .         1.0           1.9
                                                          ------        ------

TOTAL OPERATING PROFIT - EXPLORATION AND
 PRODUCTION. . . . . . . . . . . . . . . . . . . . .   $    14.0          22.5
                                                          ======        ======
U.S.:
  Capital expenditures . . . . . . . . . . . . . . .   $     7.0           9.5
                                                          ======        ======
  Net natural gas production (average daily Mcf) -
    Spot market and other. . . . . . . . . . . . . .      94,103        79,642
    Tennessee Gas Contract<F1> . . . . . . . . . . .         -          14,452
                                                          ------        ------
       Total production. . . . . . . . . . . . . . .      94,103        94,094
                                                          ======        ======
  Average natural gas sales prices ($/Mcf) -
    Spot market<F2>. . . . . . . . . . . . . . . . .   $    2.34          1.70
    Tennessee Gas Contract<F1> . . . . . . . . . . .   $     -            8.17
      Average. . . . . . . . . . . . . . . . . . . .   $    2.34          2.69
  Average operating expenses ($/Mcfe) -
    Lease operating expenses . . . . . . . . . . . .   $     .16           .13
    Severance taxes. . . . . . . . . . . . . . . . .         .04           .03
                                                          ------        ------
      Total production costs . . . . . . . . . . . .         .20           .16
    Administrative support . . . . . . . . . . . . .         .05           .12
                                                          ------        ------
      Total operating expenses . . . . . . . . . . .   $     .25           .28
                                                          ======        ======
  Depletion ($/Mcfe) . . . . . . . . . . . . . . . .   $     .91           .73
                                                          ======        ======
BOLIVIA:
  Capital expenditures . . . . . . . . . . . . . . .   $     4.0           2.1
  Net natural gas production (average daily Mcf) . .      10,999        19,058
  Average natural gas sales price ($/Mcf). . . . . .   $    1.32          1.32
  Net condensate production (average daily barrels)          316           550
  Average condensate price ($/barrel)  . . . . . . .   $   19.28         15.72
  Average operating expenses ($/Mcfe) -
    Production costs . . . . . . . . . . . . . . . .   $     .16           .10
    Value-added taxes . . . . . . . . . . . . . . . .         -            .07
    Administrative support . . . . . . . . . . . . .         .41           .30
                                                          ------        ------
      Total operating expenses . . . . . . . . . . .   $     .57           .47
                                                          ======        ======
  Depletion ($/Mcfe) . . . . . . . . . . . . . . . .   $     .15           .13
                                                          ======        ======

<FN>
<F1> Results for the three months ended March 31, 1996  included  revenues  from
     above-market  pricing provisions of a contract with Tennessee Gas which was
     terminated effective  October  1,  1996.   Operating  profit  for  the 1996
     quarter included $7.9 million for the excess of these contract prices  over
     spot market prices.
<F2> Includes effects of the Company's  natural  gas  price  arrangements  which
     amounted  to  losses  of $.19 per Mcf and $.08 per Mcf for the three months
     ended March 31, 1997 and 1996, respectively.
<F3> Mcf  is  defined  as  one  thousand  cubic  feet;  Mcfe  is  defined as net
     equivalent one thousand cubic feet.


                                       11

U. S. OIL AND GAS

THREE MONTHS ENDED MARCH 31, 1997 COMPARED WITH THREE  MONTHS  ENDED  MARCH  31,
1996.   Operating  profit  of  $11.8 million from the Company's U.S. oil and gas
operations in the 1997 quarter compares  to operating profit of $19.4 million in
the 1996 quarter.  Comparability between these quarters was impacted by  certain
significant  items.  The 1996 quarter included revenues from the sale of natural
gas at above-market  prices  under  a  contract  with  Tennessee  Gas, which was
terminated effective October 1, 1996.  Results of operations in 1997 and  future
years  will  no longer benefit from the pricing provisions of this contract.  In
the 1996 quarter, Exploration  and  Production's  operating profit included $7.9
million from the excess of  these  contract  prices  over  spot  market  prices.
Operating  profit  also  included  income  related  to retroactive severance tax
refunds, which amounted to $5.0 million in  the 1996 quarter and $1.6 million in
the 1997 quarter.  Excluding the incremental value of the Tennessee Gas contract
and retroactive severance tax refunds, operating profit from the Company's  U.S.
oil  and  gas  operations  would  have  been  $10.2  million in the 1997 quarter
compared to $6.5 million in  the  1996  quarter.  The resulting increase of $3.7
million was primarily due to higher spot market prices for sales of natural gas,
as industry demand  increased  due  to  unusually  cold  weather  combined  with
below-normal storage levels.

Prices  realized  by  the  Company  on  its  spot  market natural gas production
increased 38% to $2.34 per Mcf  in  the  1997  quarter from $1.70 per Mcf in the
1996 quarter.  On a weighted-average basis,  the  Company's  natural  gas  sales
price was $2.69 per Mcf in the 1996 quarter due to sales under the Tennessee Gas
contract.   The  Company's  natural gas production averaged 94.1 Mmcf per day in
both the 1997 and 1996 quarters.

Gross operating revenues from the  Company's  U.S. oil and gas operations, after
excluding amounts related to Tennessee Gas, increased due  to  the  higher  spot
market  prices.   Production  costs increased by $.3 million in the 1997 quarter
due to higher lease operating expenses, while administrative and other operating
expenses were reduced by $.6  million.   Depreciation and depletion increased by
$1.5 million, or 24%, due to a higher depletion rate.

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.
In addition, the Company has  entered  into price agreements with collars, under
which no payments will be made by either party unless the price  falls  below  a
designated  floor  price  or above a designated ceiling price, at which time the
Company receives or pays the difference, respectively.  During the 1997 and 1996
quarters, the Company used such  agreements  to  set  the  price of 34% and 42%,
respectively, of the natural gas production that it sold  in  the  spot  market.
The  Company  recognized  a  loss of $1.6 million ($.19 per Mcf) and $.6 million
($.08 per Mcf) in the  1997  and  1996  quarters, respectively, related to these
price agreements.  As of March 31, 1997, the  Company  has  no  remaining  price
agreements for 1997.

Bolivia

THREE  MONTHS  ENDED  MARCH  31, 1997 COMPARED WITH THREE MONTHS ENDED MARCH 31,
1996.  Operating profit from the Company's Bolivian operations decreased to $1.0
million in  the  1997  quarter,  from  $1.9  million  in  the  1996  quarter, as
production of natural gas and condensate fell by 42%.  During the 1997  quarter,
the  Company's Bolivian natural gas production was reduced due to curtailment by
the Bolivian government to  balance  over-production requested by the government
during 1996.  Production of natural gas was  also  reduced  due  to  constraints
arising  from  repairs  to  a  flood-damaged  pipeline  that transports gas from
Bolivia to Argentina.   A  temporary  replacement  pipeline  is now operational,
which has essentially restored full capacity  until  a  permanent  line  can  be
constructed  in  the  second half of 1997.  Partially offsetting the decrease in
production in the 1997 quarter was a 23% rise in condensate sales prices.  Total
operating  costs  and  depreciation,  depletion  and  amortization  declined  in
aggregate, but increased  on  a  per  unit  basis  due  to  the lower production
volumes.

In  1996,  a  new  Hydrocarbons  Law  was passed by the Bolivian government that
significantly impacts the Company's operations  in  Bolivia.  The new law, among
other matters, granted the Company  the  option  to  convert  its  Contracts  of
Operation  to  new  Shared  Risk  Contracts.   During  1996,  the Company signed
agreements to  convert  its  Contracts  of  Operation  to  Shared Risk Contracts
subject to recision at the option of the Company if the Company is not satisfied
with modifications to the Bolivian fiscal law.  The Company expects to  complete
this  conversion during the third quarter of 1997.  The new contracts extend the
Company's term of operation, provide more favorable acreage relinquishment terms
and provide for a more favorable fiscal  regime of royalties and taxes.  The new
contracts will extend the term of the Company's  operations  for  Block  18  ten
additional  years  to the year 2017.  For Block 20, the new contract extends the
Company's term 21 additional years to the  year  2029 for acreage that is in the
exploration phase of the contract, and 10 additional years to the year 2018  for
an area

                                       12

within  Block 20 that is designated as being in the development phase of the new
contract.  The  new  contract  provisions,  along  with  a substantial discovery
during 1996, significantly increased the Company's reserves at year-end 1996.

The  Company's  Bolivian  natural  gas  production  is   sold   to   Yacimientos
Petroliferos  Fiscales  Bolivianos ("YPFB"), which in turn sells the natural gas
to Yacimientos Petroliferos Fiscales, SA  ("YPF"), a publicly-held company based
in Argentina.  Currently, the Company is selling its natural gas  production  to
YPFB based on the volume and pricing terms in the contract between YPFB and YPF.
The  contract to sell gas to YPF expired March 31, 1997 and a contract extension
was signed effective April  1,  1997  extending  the  contract term two years to
March 31, 1999 with an option to extend the contract a maximum of  one  year  if
the pipeline from Bolivia to Brazil is not complete.  In the contract extension,
YPF negotiated an 11% reduction in the minimum contract volume it is required to
import  from Bolivia, which in turn resulted in a corresponding 11% reduction of
Tesoro's minimum  contract  volume.   The  pipeline  from  Bolivia  to Brazil is
scheduled to begin construction in the second  half  of  1997,  with  first  gas
deliveries expected in 1999.



MARINE SERVICES                                          Three Months Ended
                                                                March 31,
                                                         -------------------
(Dollars in millions)                                      1997         1996
                                                           ----         ----
                                                                 
Gross Operating Revenues:
  Fuels. . . . . . . . . . . . . . . . . . . . . . .   $    28.2          18.9
  Lubricants and other . . . . . . . . . . . . . . .         3.7           2.5
  Services . . . . . . . . . . . . . . . . . . . . .         3.6           1.9
                                                          ------        ------
    Gross Operating Revenues . . . . . . . . . . . .        35.5          23.3
Costs of Goods Sold. . . . . . . . . . . . . . . . .        27.3          18.6
                                                          ------        ------
  Gross Profit . . . . . . . . . . . . . . . . . . .         8.2           4.7
Operating and Other Expenses . . . . . . . . . . . .         6.9           4.0
Depreciation and Amortization. . . . . . . . . . . .          .4            .1
                                                          ------        ------
  Operating Profit . . . . . . . . . . . . . . . . .   $      .9            .6
                                                          ======        ======
Capital Expenditures . . . . . . . . . . . . . . . .   $     2.2            .7
                                                          ======        ======
Sales Volumes (millions of gallons):
  Fuels, primarily diesel. . . . . . . . . . . . . .        39.6          30.4
  Lubricants . . . . . . . . . . . . . . . . . . . .          .7            .5


THREE  MONTHS  ENDED  MARCH  31, 1997 COMPARED WITH THREE MONTHS ENDED MARCH 31,
1996.  On February 20,  1996,  the  Company  acquired Coastwide Energy Services,
Inc. ("Coastwide") and combined  these  operations  with  the  Company's  marine
petroleum products distribution business.  Operating results from Coastwide have
been  included  in  the  Company's  Marine  Services  segment  since the date of
acquisition.  Accordingly, results  for  the  1997  quarter  included three full
months of Coastwide activities compared to the 1996 quarter which included  only
a portion of Coastwide's activities.

Revenues from  fuels and lubricants increased $10.5 million, or 49%, in the 1997
quarter, mainly due to added locations  and associated volumes stemming from the
Coastwide acquisition together with internal growth initiatives.   In  addition,
higher  market  prices  for  fuel  increased  total  revenues.  Service revenues
increased by $1.7 million due to  the expanded activity related to the Coastwide
acquisition.  Costs of goods sold during the 1997 quarter increased due  to  the
higher  volumes  and prices and also included a $.7 million loss associated with
an inventory valuation  as  market  prices  declined  from year-end levels.  The
improved gross profit of $8.2 million in the 1997 quarter was  partially  offset
by  higher  operating and other expenses associated with the increased activity.
Depreciation and amortization increased during  the  1997 quarter due to capital
additions made in 1996.

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 of $1.6 million for the 1997 quarter compares with $3.9 million
in  the  1996  quarter.  In November 1996, the Company redeemed $74.1 million of
public debt resulting in interest  expense  savings  of $2.5 million in the 1997
quarter.

                                       13

OTHER EXPENSE, NET

Other expense of $1.3 million in the 1997 quarter compares with $5.4 million  in
the  1996  quarter.   Included  in  other expense in the prior year quarter were
shareholder consent solicitation costs  of  $2.3  million  which was resolved in
April 1996 together with a write-off of deferred financing  costs  and  employee
termination costs.  There were no material comparable costs recorded in the 1997
quarter.

INCOME TAXES

Income taxes of $3.5 million in the 1997 quarter compare with  $2.8  million  in
the  1996 quarter.  This increase, primarily in Federal income taxes, was due to
a higher effective tax  rate  in  the  1997  quarter  as available net operating
losses were fully utilized in 1996.  Foreign income  taxes  were  lower  due  to
reduced  revenues  from  the  Company's Bolivian operations, partially offset by
higher Bolivian tax rates resulting from changes in the Hydrocarbons Law.


IMPACT OF CHANGING PRICES

The Company's operating results and cash flows are  sensitive  to  the  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.  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.

Likewise, changes in natural gas 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
natural gas assets may be subject to noncash  writedowns  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.

CAPITAL RESOURCES AND LIQUIDITY

OVERVIEW

The  Company's  primary  sources of liquidity are its cash and cash equivalents,
internal cash  generation  and  external  financing.   Accomplishments  in 1996,
including the resolution of litigation with Tennessee Gas and termination of the
remainder of the Tennessee Gas Contract  combined  with  redemptions  of  public
debt,  have  strengthened  the  Company's  financial  condition and improved its
ability to access capital markets.

The Company has developed strategic  plans  to make operational improvements and
continues to assess its existing asset base in order  to  maximize  returns  and
develop  full value through strategic diversification and acquisitions in all of
its operating segments.  This  ongoing  assessment  includes, in the Exploration
and Production segment, evaluating ways in which the Company could diversify its
oil and gas reserve base and offset the impact of declining  production  through
domestic development, exploration and acquisition outside of the Bob West Field.
In  the  Refining and Marketing segment, the Company has been engaged in studies
to  improve  profitability  and  has  also  evaluated  possible  joint ventures,
strategic alliances or business combinations; such evaluations have not resulted
in any transaction but operating strategies have been developed to optimize  the
product  and  feedstock slates, improve efficiencies and reliability, and expand
marketing to increase placement of products in Alaska.  The Company continues to
evaluate its Marine Services  segment,  pursuing  opportunities for expansion as
well as optimizing existing operations.

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

                                       14

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 facility and other sources of capital will be affected by these
conditions.

STOCK REPURCHASE PROGRAM

On May 7, 1997, the Company's Board of Directors authorized the repurchase of up
to 3 million shares (approximately 11 percent of the current outstanding shares)
of Tesoro Common Stock in a buyback  program that will extend through the end of
1998.  Under the  program,  subject  to  certain  conditions,  the  Company  may
repurchase  from time to time Tesoro Common Stock in the open market and through
privately negotiated  transactions.   Purchases  will  depend  on  price, market
conditions and other factors and will be made primarily  from  cash  flow.   The
repurchased Common Stock will be accounted for as treasury stock and may be used
for   employee   benefit   plan   requirements  and  other  corporate  purposes.
Repurchases of Common Stock are subject  to the restricted payments provision of
the Credit Facility as described below.

CREDIT ARRANGEMENTS

The Company has financing and credit arrangements  with  a  consortium  of  nine
banks  under  a  corporate  revolving credit agreement ("Credit Facility") which
provides total commitments of $150  million.  The Credit Facility, which extends
through April 2000, provides for cash borrowings up to $100 million and issuance
of letters of credit, subject to a borrowing base (which was approximately  $128
million at March 31, 1997).  The Company, at its option, has currently activated
total  commitments  of  $100  million.  Outstanding obligations under the Credit
Facility are secured  by  liens  on  substantially  all  of  the Company's trade
accounts receivable and product inventory and  by  mortgages  on  the  Company's
refinery  and  South  Texas natural gas reserves.  Under the terms of the Credit
Facility, the Company is required  to  maintain specified levels of consolidated
working capital, tangible net worth, cash flow  and  interest  coverage.   Among
other matters, the Credit Facility contains covenants which limit the incurrence
of  additional  indebtedness  and  restricted  payments.  At March 31, 1997, the
Company had outstanding letters of credit of $45 million with no cash borrowings
outstanding.  Cash borrowings made under the Credit Facility were minimal during
the 1997 quarter.

The terms of the Credit  Facility  allow  for  the payment of cash dividends and
open market stock repurchases subject  to  a  cumulative  amount  available  for
restricted payments (defined as the difference of (i) the sum since December 31,
1995,  of (a) $5 million and (b) 50% of consolidated net earnings of the Company
in any calendar year and (ii) any restricted payments made since June 1996).  At
March 31, 1997,  the  cumulative  amount  available  for restricted payments was
approximately $45 million.  Annually, however, the aggregate of  cash  dividends
and  other  restricted  payments  cannot  exceed  a  maximum  of $5 million.  In
addition, the Credit Facility permits the Company to repurchase a limited amount
of Common Stock  up  to  $5  million  annually,  specifically for oddlot buyback
programs and employee benefit plans.   While  the  Board  of  Directors  has  no
present  plans  to  pay  dividends,  from  time  to  time the Board of Directors
reevaluates the feasibility of declaring future dividends.

In addition to the Credit Facility, a subsidiary of the Company has a three-year
line of credit with a bank which provides  up to $10 million for the purchase of
real estate and equipment for the  Company's  Marine  Services  segment  at  the
bank's  prime  rate.   The loan facility is not guaranteed by the Company and is
secured only by such real estate  and equipment that are financed.  Beginning in
March 1998, credit availability is reduced quarterly by 6.667%.   At  March  31,
1997, $ 3.1 million was outstanding under the loan facility.

To  further  enhance its financial flexibility, the Company is pursuing separate
financing for the modification  of  its  refinery hydrocracker in Kenai, Alaska.
The Company is negotiating for interim construction financing and  a  seven-year
term  loan  for  the  lesser of 90% of the project costs, or $16.2 million, at a
rate less than prime.   The  Company  anticipates  that this financing, which is
subject to final approval by the lenders, will be  completed  during  the  third
quarter of 1997.

CAPITAL SPENDING

For  the year 1997, the Company has a total capital budget of approximately $156
million, including $54 million for  potential acquisitions.  The Company expects
to finance its non-acquisition capital  expenditures  primarily  with  available
cash reserves and internally-generated cash flows from operations.  In addition,
the Company is

                                       15

pursuing  outside  financing,  as  discussed  above, for the modification to the
refinery hydrocracker.   Acquisitions,  if  consummated,  are  anticipated to be
funded primarily with external borrowings under the Company's  Credit  Facility.
For the three months ended March 31, 1997, capital spending totaled $16 million,
which was financed by the Company's cash flows from operations.

The  Exploration  and  Production segment accounts for $76 million of the budget
with $68 million planned for U.S. activities and $8 million in Bolivia.  Planned
U.S. expenditures include $30 million for property acquisitions; $19 million for
development drilling (participation in 19  wells)  and workovers; $9 million for
leasehold, geological and geophysical; and $10 million for exploratory  drilling
(participation in 15 wells).  In Bolivia, the drilling program is budgeted at $2
million   for   one   exploratory   well,   with   the   remainder  planned  for
three-dimensional seismic activity.  For the  first three months of 1997, actual
U.S. expenditures were $7 million, principally for participation in the drilling
of four development wells (one  completed)  and  six  exploratory  wells  (three
completed).   In  Bolivia,  capital  spending for the first three months of 1997
totaled $4 million, primarily for  exploratory drilling and workovers.  Although
the  Company  continues  to  pursue  exploratory,  development  and  acquisition
opportunities, actual capital expenditures for the remainder  of  the  year  may
vary  from  budget  due to a number of factors, including the timing of drilling
projects and the extent to which proved properties are acquired.

Capital spending for the Refining and  Marketing  segment is projected to be $50
million for the year, of which $3 million  was  spent  during  the  first  three
months of 1997.  The capital budget  for  the  year  includes  $17  million  for
modification  and  expansion of the refinery hydrocracker to improve the product
slate and $20 million towards a  three-year  capital program to build new retail
outlets and remodel existing stations.

In  the  Marine  Services  segment, capital spending for 1997 is budgeted at $29
million, of which $2 million was  spent  during  the first three months of 1997.
The capital budget for the year is primarily directed towards expansion  of  its
operations along the Gulf of Mexico and potential acquisitions.

CASH FLOWS FROM OPERATING, INVESTING AND FINANCING

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



                                                           Three Months Ended
                                                                March 31,
                                                           ------------------
                                                            1997         1996
                                                            ----         ----
                                                                  
Cash Flows From (Used In):
  Operating Activities . . . . . . . . . . . . . . .   $    23.8         18.0
  Investing Activities . . . . . . . . . . . . . . .       (16.8)       (24.0)
  Financing Activities . . . . . . . . . . . . . . .         1.6         (1.0)
                                                           ------       ------
Increase (Decrease) in Cash and Cash Equivalents . .   $     8.6         (7.0)
                                                           ======       ======


Net cash from operating activities of $24 million during the 1997 quarter, which
compares to $18 million during the 1996 quarter, included improved profitability
plus  noncash  items,  such  as  depreciation,   depletion   and   amortization.
Additionally,  receivables  decreased  due in part to collections related to the
higher sales volumes at year-end  but  were  partially  offset by income tax and
other payments.  Net cash used in investing activities of $17 million during the
1997 quarter included capital expenditures of  $11  million  for  the  Company's
exploration  and  production  activities,  $3 million for refining and marketing
operations  and  $2  million  for  marine  services.   Net  cash  from financing
activities of $2 million during the 1997 quarter was primarily due to borrowings
under a loan facility  for  the  marine  services  sector  partially  offset  by
payments  of other long-term debt.  At March 31, 1997, the Company's net working
capital totaled $105 million, which  included  cash  and cash equivalents of $31
million.

ENVIRONMENTAL

The Company is subject to extensive federal, state and local environmental  laws
and regulations.  These laws, which change frequently, regulate the discharge of
materials into the environment and may require the Company to remove or mitigate
the  environmental  effects  of the disposal or release of petroleum or chemical
substances  at  various   sites   or   install   additional  controls  or  other
modifications or changes in use for certain emission sources.   The  Company  is
currently  involved  in remedial responses and has incurred cleanup expenditures
associated with environmental matters at a number of sites, including certain of
its own properties.  At March 31, 1997, the Company's accruals for environmental
expenses amounted to $8.8 million, which included a noncurrent liability of $3.3
million for remediation of Kenai Pipe Line Company's ("KPL") properties that has
been funded by the

                                       16

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  comply  with  environmental laws and regulations, the Company
anticipates that it will make  capital  improvements of approximately $6 million
in 1997 and $3 million in 1998.  The Company also expects to spend approximately
$6 million by the year 2002  for  secondary  containment  systems  for  existing
storage tanks in Alaska.

Conditions  that  require  additional expenditures may exist for various Company
sites, including, but not  limited  to,  the Company's refinery, retail gasoline
outlets (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,  see  Note  2  of  Notes  to Condensed Consolidated
Financial Statements.

FORWARD-LOOKING STATEMENTS

Statements in this Quarterly Report on Form 10-Q, including those  contained  in
the  foregoing  discussion  and other items herein, concerning the Company which
are  (a)  projections  of  revenues,   earnings,  earnings  per  share,  capital
expenditures or other financial items, (b) statements of  plans  and  objectives
for  future  operations,  (c)  statements of future economic performance, or (d)
statements of assumptions or  estimates  underlying  or supporting the foregoing
are forward-looking  statements  within  the  meaning  of  Section  27A  of  the
Securities  Act  of 1933 and Section 21E of the Securities Exchange Act of 1934.
The ultimate accuracy of forward-looking  statements  is subject to a wide range
of business risks and changes in circumstances, and actual results and  outcomes
often  differ  from  expectations.   Any number of important factors could cause
actual results to differ materially from those in the forward-looking statements
herein, including the following:  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; actions of our customers and
competitors;  changes  in  the  cost  or  availability  of  third-party vessels,
pipelines and other means of transporting feedstocks  and  products;  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; execution of planned  capital  projects;  weather  conditions
affecting  the Company's operations or the areas in which the Company's products
are marketed;  future  well  performance;  the  extent  of  Tesoro's  success in
acquiring oil and gas properties and in discovering,  developing  and  producing
reserves;  political  developments  in  foreign countries, the conditions of the
capital  markets  and  equity  markets   during   the  periods  covered  by  the
forward-looking statements; earthquakes or  other  natural  disasters  affecting
operations;  adverse  rulings,  judgments, or settlements in litigation or other
legal matters, including unexpected environmental remediation costs in excess of
any reserves;  and  adverse  changes  in  the  credit  ratings  assigned  to the
Company's trade credit.  For more information with respect to the foregoing, see
the Company's Annual Report on Form 10-K. 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.

                                       17

                          PART II - OTHER INFORMATION


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

         No  reports  on  Form  8-K have been filed during the quarter for which
         this report is filed.

                                       18

                                   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:   May 15, 1997                /s/           BRUCE A. SMITH
                                                  Bruce A. Smith
                                       Chairman of the Board of Directors,
                                      President and Chief Executive Officer







Date:   May 15, 1997               /s/            DON E. BEERE
                                                  Don E. Beere
                                             Vice President, Controller
                                             (Chief Accounting Officer)

                                       19

                                 EXHIBIT INDEX


  Exhibit
  Number

    10  Copy of the Company's Board of Directors Deferred Phantom Stock Plan.

    27  Financial Data Schedule.

                                       20