SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 10-Q

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

For the quarterly period ended March 31, 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 1-10243
                                                -------

                          BP PRUDHOE BAY ROYALTY TRUST
             ------------------------------------------------------
             (Exact name of registrant as specified in its charter)

                         Delaware                              13-6943724
             ---------------------------------             -------------------
               (State or other jurisdiction                 (I.R.S. Employer
             of incorporation or organization)             Identification No.)

                   THE BANK OF NEW YORK
                    101 Barclay Street
                    New York, New York                           10286
         ----------------------------------------              ----------
         (Address of principal executive offices)              (Zip Code)


Registrant's telephone number, including area code: (212) 815-5092

                                 Not applicable
              (Former name, former address and former fiscal year,
                          if changed since last report)

        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 [ ]

        As of May 14, 1998 21,400,000 Units of Beneficial Interest were
outstanding.






                                     PART I
                              FINANCIAL INFORMATION


ITEM 1. FINANCIAL STATEMENTS


                          BP PRUDHOE BAY ROYALTY TRUST

               Statements of Assets, Liabilities and Trust Corpus


                        (In thousands, except unit data)





                                                        March 31,
                                                           1998      December 31,
                   Assets                              (Unaudited)       1997
                   ------                              -----------   ------------
                                                                     
Royalty Interest (notes 1 and 2)                        $ 535,000       535,000
        Less: accumulated amortization                   (302,926)     (291,976)
                                                        ---------     ---------

                         Total assets                   $ 232,074       243,024
                                                        =========     =========

        Liabilities and Trust Corpus

Accrued expenses                                              223           195

Trust corpus (40,000,000 units of beneficial
        interest authorized, 21,400,000 units
        issued and outstanding)                           231,851       242,829
                                                        ---------     ---------

                         Total liabilities and
                            Trust corpus                $ 232,074       243,024
                                                        =========     =========


See accompanying notes to financial statements.






                          BP PRUDHOE BAY ROYALTY TRUST

                  Statements of Cash Earnings and Distributions

                        (In thousands, except unit data)

                                   (Unaudited)

                                                        Three months ended
                                                             March 31,
                                                   -----------------------------
                                                       1998            1997
                                                   ------------    -------------

Royalty revenues                                   $      8,773          15,138
Interest income                                               5            --
Refund of overpayment of expenses                           142            --
        Less: trust administrative expenses                (103)           (107)
                                                   ------------    ------------

Cash earnings                                      $      8,817          15,031
                                                   ============    ============


Cash distributions                                 $      8,817          15,031
                                                   ============    ============

Cash distributions per unit                        $       .412             .70
                                                   ============    ============

Units outstanding                                    21,400,000      21,400,000
                                                   ============    ============


See accompanying notes to financial statements.





                          BP PRUDHOE BAY ROYALTY TRUST

                      Statements of Changes in Trust Corpus

                                 (In thousands)

                                   (Unaudited)

                                                         Three months ended
                                                              March 31,
                                                     ---------------------------
                                                        1998             1997
                                                     ---------        ----------
Trust corpus at beginning of period                  $ 242,829          268,940
Cash Earnings                                            8,817           15,031
Increase in accrued expenses                               (28)            (124)
Cash distributions                                      (8,817)         (15,031)
Amortization of Royalty Interest                       (10,950)          (6,413)
                                                     ---------        ---------

Trust corpus at end of period                        $ 231,851          262,403
                                                     =========        =========


See accompanying notes to financial statements.




                          BP PRUDHOE BAY ROYALTY TRUST

                          Notes to Financial Statements

                                 March 31, 1998
                                   (Unaudited)

(1)      Formation of the Trust and Organization

         BP Prudhoe Bay Royalty Trust (the "Trust") was formed pursuant to a
         Trust Agreement, dated February 28, 1989 among The Standard Oil Company
         ("Standard Oil"), BP Exploration (Alaska) Inc. (the "Company"), The
         Bank of New York (the "Trustee"), and The Bank of New York (Delaware),
         as co-trustee. Standard Oil and the Company are indirect wholly owned
         subsidiaries of The British Petroleum Company p.l.c. ("BP").

         On February 28, 1989, Standard Oil conveyed an overriding royalty
         interest (the "Royalty Interest") to the Trust. The Trust was formed
         for the sole purpose of owning and administering the Royalty Interest.
         The Royalty Interest represents the right to receive, effective
         February 28, 1989, a per barrel royalty (the "Per Barrel Royalty") on
         16.4246% of the lesser of (a) the first 90,000 barrels of the average
         actual daily net production of oil and condensate per quarter or (b)
         the average actual daily net production of oil and condensate per
         quarter from the Company's working interest in the Prudhoe Bay Field as
         of February 28, 1989, located on the North Slope of Alaska. Trust Unit
         Holders will remain subject at all times to the risk that production
         will be interrupted or discontinued or fall, on average, below 90,000
         barrels per day in any quarter. BP has guaranteed performance by the
         Company of its payment obligations with respect to the Royalty
         Interest.

         The Trust is passive, with the Trustee having only such powers as are
         necessary for the collection and distribution of revenues, the payment
         of Trust liabilities and the protection of the Royalty Interest.

(2)      Basis of Accounting

         The financial statements of the Trust are prepared on a modified cash
         basis and reflect the Trust's assets, liabilities and trust corpus and
         cash earnings and distributions as follows:

         (a)    Revenues are recorded when received (generally within 15 days of
                the end of the preceding quarter) and distributions to Trust
                Unit holders are recorded when paid.

         (b)    Trust expenses (which generally include accounting, engineering,
                legal, and other professional fees, trustees' fees and
                out-of-pocket expenses) are recorded on an accrual basis.

                                                                     (Continued)





                                        2

                          BP PRUDHOE BAY ROYALTY TRUST

                          Notes to Financial Statements
                                   (Unaudited)



(2), Continued


         (c)    Amortization of the Royalty Interest is calculated based on the
                units-of-production attributable to the Trust over the
                production of estimated proved reserves attributable to the
                Trust at the beginning of the fiscal year (approximately
                65,000,000 barrels and 111,000,000 barrels of estimated proved
                reserves were used to calculate the amortization of the Royalty
                Interest for the three-month period ended March 31, 1998 and
                year ended December 31, 1997, respectively). Such amortization
                is charged directly to the Trust corpus, and does not affect
                cash earnings. The daily rate for amortization per net
                equivalent barrel of oil was $8.23 and $4.82 for the three
                months ended March 31, 1998 and 1997, respectively. The
                remaining unamortized balance of the net overriding Royalty
                Interest at March 31, 1998 is not necessarily indicative of the
                fair market value of the interest held by the Trust.

         While these statements differ from financial statements prepared in
         accordance with generally accepted accounting principles, the cash
         basis of reporting revenues and distributions is considered to be the
         most meaningful because quarterly distributions to the Unit holders are
         based on net cash receipts. The accompanying modified cash basis
         financial statements contain all adjustments necessary to present
         fairly the assets, liabilities and Trust corpus of the Trust as of
         March 31, 1998 and December 31, 1997 and the modified cash earnings and
         distributions and changes in Trust corpus for the three months ended
         March 31, 1998 and 1997. The adjustments are of a normal recurring
         nature and are, in the opinion of management, necessary to fairly
         present the results of operations for the period.

         The financial statements should be read in conjunction with the
         financial statements and related notes in the Trust's 1997 Annual
         Report on Form 10-K. The cash earnings and distributions for the
         interim period presented are not necessarily indicative of the results
         to be expected for the full year.


                                                                     (Continued)



                                        3

                          BP PRUDHOE BAY ROYALTY TRUST

                          Notes to Financial Statements

                                   (Unaudited)


(3)      Income Taxes

         The Trust files its federal tax return as a grantor trust subject to
         the provisions of subpart E of Part I of Subchapter J of the Internal
         Revenue Code of 1986, as amended rather than an association taxable as
         a corporation. The Unit holders are treated as the owners of Trust
         income and corpus, and the entire taxable income of the Trust will be
         reported by the Unit Holders on their respective tax returns.

         If the Trust were determined to be an association taxable as a
         corporation, it would be treated as an entity taxable as a corporation
         on the taxable income from the Royalty Interest, the Trust Unit holders
         would be treated as shareholders, and distributions to Trust Unit
         holders would not be deductible in computing the Trust's tax liability
         as an association.





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

Liquidity and Capital Resources

        The Trust is a passive entity, and the Trustee's activities are limited
to collecting and distributing the revenues from the Royalty Interest and paying
liabilities and expenses of the Trust. The Trust has no source of liquidity and
no capital resources other than the revenue attributable to the Royalty Interest
that it receives from time to time. See Note 1 of Notes to Financial Statements
in Part I, Item 1, and the discussion under "THE PRUDHOE BAY UNIT - Reserve
Estimates" and "INDEPENDENT OIL AND GAS CONSULTANTS' REPORT" in Item 1 of the
Trust's Annual Report on Form 10-K for the fiscal year ended December 31, 1997
for information concerning the estimated future net revenues of the Trust.


Results of Operations

        Royalty revenues are generally received on the Quarterly Record Date
(generally the fifteenth day of the month) following the end of the calendar
quarter in which the related Royalty Production occurred. The Trustee, to the
extent possible, pays all expenses of the Trust for each quarter on the
Quarterly Record Date on which the revenues for the quarter are received. Both
revenues and Trust expenses are recorded on a cash basis and, as a result,
royalties paid to the Trust and distributions to Unit holders in the quarters
ended March 31, 1998 and 1997 are attributable to the Company's operations
during the three-month periods ended December 31, 1997 and 1996, respectively.

        The following table shows the factors employed to compute the Per Barrel
Royalty received by the Trust during the quarters ended March 31, 1998 and 1997
(see Note 1 of Notes to Financial Statements in Part I, Item 1):

                                       Quarter Ended
                                        December 31,
                                   --------------------
                                    1997          1996
                                    ----          ----

Average WTI Price                  $19.94       $ 24.71
                                   ------       -------
Chargeable Costs                   $ 8.85       $  8.50
Cost Adjustment Factor               1.27        1.2568
                                   ------       -------
Adjusted Chargeable Costs           11.33         10.68
Production Taxes                     2.16          2.89
                                   ------       -------
                                    13.49         13.57
                                   ------       -------
Per Barrel Royalty                 $ 6.45       $ 11.13
                                   ======       =======

        As long as the Company's average daily net production from the Prudhoe
Bay Unit exceeds 90,000 barrels, which the Company currently projects will
continue until the year 2009, the only factors affecting the Trust's revenues
and distributions to Unit holders are changes in WTI Prices, scheduled annual
increases in Chargeable Costs, changes in the Consumer Price Index, changes in
Production Taxes and changes in the expenses of the Trust.



Quarter Ended March 31, 1998 Compared to Quarter Ended March 31, 1997

        The Trust's royalty revenues in the quarter ended March 31, 1998
decreased approximately 42 percent over revenues in the quarter ended March 31,
1997, principally as a result of the decrease in the Average WTI Price for the
quarter ended December 31, 1997, which was lower than the Average WTI Price for
the quarter ended December 31, 1996 by $4.77 (a decrease of approximately 19
percent). Total deductions from the Average WTI Price (consisting of Adjusted
Chargeable Costs and Production Taxes) decreased by only $0.08 (approximately
0.6 percent) from the fourth quarter of 1996 to the fourth quarter of 1997.

        Cash earnings and distributions for the first quarter of 1998 decreased
by approximately 41 percent over the first quarter of 1997 due primarily to a
decrease in the Average WTI Price for the quarter ended December 31, 1997.





                                     PART II
                                OTHER INFORMATION

ITEM 1.  LEGAL PROCEEDINGS

        None

ITEM 2.  CHANGES IN SECURITIES

        None

ITEM 3.  DEFAULTS UPON SENIOR SECURITIES

        None

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

        Not applicable

ITEM 5.  OTHER INFORMATION

        On April 15, 1998, the Trust received a cash distribution of $3,316,723
from the Company with respect to the quarter ended March 31, 1998 and, after
adding interest income of $12,401 and deducting expenses of $234,510,
distributed $3,094,614, or approximately $0.145 per Unit, to Unit holders of
record on April 15, 1998.

ITEM 6.  EXHIBITS AND REPORTS ON 8-K

        (a)    Exhibits

        4.1  BP Prudhoe Bay Royalty Trust Agreement dated February 28, 1989
             among The Standard Oil Company, BP Exploration (Alaska) Inc., The
             Bank of New York, Trustee, and F. James Hutchinson, Co-Trustee.

        4.2  Overriding Royalty Conveyance dated February 27, 1989 between BP
             Exploration (Alaska) Inc. and The Standard Oil Company.

        4.3  Trust Conveyance dated February 28, 1989 between The Standard Oil
             Company and BP Prudhoe Bay Royalty Trust.

        4.4  Support Agreement dated as of February 28, 1989 among The British
             Petroleum Company p.l.c., BP Exploration (Alaska) Inc., The
             standard Oil Company and BP Prudhoe Bay Royalty Trust.

        27      Financial Data Schedule

        (b)     Reports on Form 8-K

        No reports on Form 8-K were filed during the quarter ended March 31,
1998.





                                   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.


                                                    BP PRUDHOE BAY ROYALTY TRUST

                                                    BY: THE BANK OF NEW YORK,
                                                        as Trustee


                                                    By: /s/ Marie Trimboli
                                                        -------------------
                                                        Marie Trimboli
                                                        Assistant Treasurer
Date: May 15, 1998


        The registrant is a trust and has no officers or persons performing
similar functions. No additional signatures are available and none have been
provided.





                                INDEX TO EXHIBITS

Exhibit                              Exhibit
  No.                              Description
- -------                            -----------

 *4.1 BP Prudhoe Bay Royalty Trust Agreement dated February 28, 1989 among The
      Standard Oil Company, BP Exploration (Alaska) Inc., The Bank of New York,
      Trustee, and F. James Hutchinson, Co-Trustee.

 *4.2 Overriding Royalty Conveyance dated February 27, 1989 between BP
      Exploration (Alaska) Inc. and The Standard Oil Company.

 *4.3 Trust Conveyance dated February 28, 1989 between The Standard Oil Company
      and BP Prudhoe Bay Royalty Trust.

 *4.4 Support Agreement dated as of February 28, 1989 among The British 
      Petroleum Company p.l.c., BP Exploration (Alaska) Inc., The standard Oil 
      Company and BP Prudhoe Bay Royalty Trust.

**27. Financial Data Schedule.

- ---------
 
*    Incorporated by reference to the correspondingly numbered exhibit to the
     registrant's Annual Report on Form 10-K for the fiscal year ended December
     31, 1996 (Commission File No. 1-10243).

**   Filed herewith.