FORM 10-Q

              SECURITIES AND EXCHANGE COMMISSION
                    Washington, D. C. 20549

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

          For the quarterly period ended March 31, 1995

                              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 1-2256

                       EXXON CORPORATION
    ______________________________________________________
    (Exact name of registrant as specified in its charter)


           NEW JERSEY                       13-5409005   
    _______________________________  ______________________
    (State or other jurisdiction of    (I.R.S. Employer
    incorporation or organization)   Identification Number)


  225 E. John W. Carpenter Freeway, Irving, Texas  75062-2298
  ___________________________________________________________
  (Address of principal executive offices)         (Zip Code)


                     (214)      444-1000
  ___________________________________________________________
    (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 __.

Indicate the number of shares outstanding of each of the
issuer's classes of common stock, as of the latest practicable
date.

            Class                Outstanding as of March 31, 1995
_______________________________  ________________________________
Common stock, without par value              1,242,233,354


                          EXXON CORPORATION

                            FORM 10-Q

         FOR THE QUARTERLY PERIOD ENDED MARCH 31, 1995


                       TABLE OF CONTENTS




                 PART I.  FINANCIAL INFORMATION


                                                            Page
                                                           Number
Item 1.  Financial Statements
Condensed Consolidated Statement of Income                    3
     Three months ended March 31, 1995 and 1994

Condensed Consolidated Balance Sheet                          4
     As of March 31, 1995 and December 31, 1994

Condensed Consolidated Statement of Cash Flows                5
     Three months ended March 31, 1995 and 1994

Notes to Condensed Consolidated Financial Statements          5

Item 2.  Management's Discussion and Analysis of Financial
         Condition and Results of Operations                6-9


         PART II.  OTHER INFORMATION


Item 1.  Legal Proceedings                                   10

Item 6.  Exhibits and Reports on Form 8-K                    10

Signature                                                    11


















                                   -2-


                      PART I.  FINANCIAL INFORMATION

   ITEM 1.  FINANCIAL STATEMENTS

                           EXXON CORPORATION
               CONDENSED CONSOLIDATED STATEMENT OF INCOME
                         (millions of dollars)

                                                 Three Months Ended
                                                       March 31,
                                                 __________________
REVENUE                                             1995       1994
Sales and other operating revenue,               _______     ______
 including excise taxes                          $29,197    $25,624
Earnings from equity interests and other
 revenue                                             582        340
                                                 _______    _______
Total revenue                                     29,779     25,964
                                                 _______    _______

COSTS AND OTHER DEDUCTIONS
Crude oil and product purchases                   12,240     10,255
Operating expenses                                 3,042      3,070
Selling, general and administrative expenses       1,731      1,616
Depreciation and depletion                         1,336      1,289
Exploration expenses, including dry holes            168        138
Interest expense                                     143        301
Excise taxes                                       3,070      2,741
Other taxes and duties                             5,464      4,792
Income applicable to minority and preferred
 interests                                            74         54
                                                 _______    _______
Total costs and other deductions                  27,268     24,256
                                                 _______    _______

INCOME BEFORE INCOME TAXES                         2,511      1,708
Income taxes                                         851        548
                                                 _______    _______
NET INCOME                                       $ 1,660    $ 1,160
                                                 =======    =======

Net income per common share*                     $  1.33    $  0.92
Dividends per common share                       $  0.75    $  0.72
Average number common shares outstanding
 (millions)                                      1,241.9    1,241.9


* Computed as income less dividends on preferred stock divided by 
  the weighted average number of common shares outstanding.











                                    -3-


                              EXXON CORPORATION
                    CONDENSED CONSOLIDATED BALANCE SHEET
                            (millions of dollars)

                                                  March 31,   Dec. 31,
                                                     1995       1994 
ASSETS                                           _______     _______
Current assets
   Cash and cash equivalents                     $ 2,770    $ 1,157
   Other marketable securities                       404        618
   Notes and accounts receivable - net             8,431      8,073
   Inventories
     Crude oil, products and merchandise           4,704      4,717
     Materials and supplies                          818        824
   Prepaid taxes and expenses                      1,325      1,071
                                                 _______    _______
Total current assets                              18,452     16,460
Property, plant and equipment - net               64,535     63,425
Investments and other assets                       8,284      7,977
                                                 _______    _______

     TOTAL ASSETS                                $91,271    $87,862
                                                 =======    =======
LIABILITIES
Current liabilities
   Notes and loans payable                       $ 3,581    $ 3,858
   Accounts payable and accrued liabilities       13,925     13,391
   Income taxes payable                            2,459      2,244
     Total current liabilities                    19,965     19,493
Long-term debt                                     9,178      8,831
Annuity reserves, deferred credits and other
 liabilities                                      22,946     22,123

     TOTAL LIABILITIES                            52,089     50,447
                                                 _______    _______
SHAREHOLDERS' EQUITY
Preferred stock, without par value:
   Authorized:200 million shares
   Outstanding: 9 million shares at Mar. 31, 1995     526
                9 million shares at Dec. 31, 1994                554
Guaranteed LESOP obligation                          (613)      (613)
Common stock, without par value:
   Authorized:  2,000 million shares
   Issued:      1,813 million shares                2,822      2,822
Earnings reinvested                                51,542     50,821
Cumulative foreign exchange translation adjustment  1,915        848
Common stock held in treasury:
     571 million shares at Mar. 31, 1995          (17,010)
     571 million shares at Dec. 31, 1994                     (17,017)
                                                  _______    _______
     TOTAL SHAREHOLDERS' EQUITY                    39,182     37,415
                                                  _______    _______

     TOTAL LIABILITIES AND SHAREHOLDERS' EQUITY   $91,271    $87,862
                                                  =======    =======

The number of shares of common stock issued and outstanding at March
31, 1995 and December 31, 1994  were 1,242,233,354 and 1,241,744,053,
respectively.


                                   -4-


                            EXXON CORPORATION
              CONDENSED CONSOLIDATED STATEMENT OF CASH FLOWS
                            (millions of dollars)
                                                 Three Months Ended
                                                 _____March 31,____
                                                   1995        1994 
                                                 ______       ______
CASH FLOWS FROM OPERATING ACTIVITIES
   Net income                                   $1,660      $1,160
   Depreciation and depletion                    1,336       1,289
   Changes in operational working capital,
    excluding cash and debt                        212        (145)
   All other items - net                            74          59
                                                ______       ______
     Net Cash Provided By Operating Activities   3,282       2,363
                                                 _____       ______
CASH FLOWS FROM INVESTING ACTIVITIES
   Acquisitions and additions to property,
     plant and equipment                        (1,399)     (1,328)
   Sales of subsidiaries and property,
     plant and equipment                           115         331
   Other investing activities - net                490         432
                                                ______      ______
     Net Cash Used In Investing Activities        (794)       (565)
                                                ______      ______
NET CASH GENERATION BEFORE FINANCING ACTIVITIES  2,488       1,798

CASH FLOWS FROM FINANCING ACTIVITIES
   Additions to long-term debt                     527         584
   Reductions in long-term debt                    (82)       (256)
   Additions/(reductions) in short-term debt-net  (399)       (410)
   Cash dividends to Exxon shareholders           (942)       (906)
   Cash dividends to minority interests            (76)       (102)
   Additions/(reductions) to minority interests
    and sales/(redemptions) of affiliate 
    preferred stock                                 14          27
   Acquisitions of Exxon shares - net              (21)        (48)
                                                ______      ______
     Net Cash Used In Financing Activities        (979)     (1,111)
                                                ______      ______
Effects Of Exchange Rate Changes On Cash           104         (22)
                                                ______      ______
Increase/(Decrease) In Cash And Cash Equivalents 1,613         665 
Cash And Cash Equivalents At Beginning Of Period 1,157         983
                                                ______      ______
CASH AND CASH EQUIVALENTS AT END OF PERIOD      $2,770      $1,648
                                                ======      ======
SUPPLEMENTAL DISCLOSURES
   Income taxes paid                            $  441      $  799
   Cash interest paid                           $  224      $  139

NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS:
These condensed consolidated financial statements should be read in 
the context of the consolidated financial statements and notes thereto
filed with the S.E.C. in the corporation's 1994 Annual Report on Form 
10-K.  In the opinion of the corporation, the information furnished 
herein reflects all known accruals and adjustments necessary for a 
fair statement of the results for the periods reported herein.  All 
such adjustments are of a normal recurring nature.  The corporation's 
exploration and production activities are accounted for under the 
"successful efforts" method.
                                   -5-


                              EXXON CORPORATION

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

FUNCTIONAL EARNINGS SUMMARY
                                              First Quarter
                                              _____________
                                              1995     1994 
                                              ____     ____
                                           (millions of dollars)

Petroleum and natural gas
   Exploration and production
     United States                          $  209   $  245
     Non-U.S.                                  757      590
   Refining and marketing
     United States                              16       39
     Non-U.S.                                  184      349
                                             _____    _____
Total petroleum and natural gas              1,166    1,223
Chemicals
     United States                             230       92
     Non-U.S.                                  317       57
Other operations                               113       58
Corporate and financing                       (166)    (270)
                                             _____    _____
NET INCOME                                  $1,660   $1,160
                                            ======   ======


FIRST QUARTER 1995 COMPARED WITH FIRST QUARTER 1994

Exxon Corporation estimated first quarter 1995 net income at $1,660 
million, or $1.33 per share, compared with $1,160 million, or $0.92
per share, in the same period last year.

Exxon's earnings of over $1.6 billion in the first quarter were 
significantly above the first quarter of last year as a result of 
improvements in the operating performance of most business segments.
Relative to the first quarter of last year, crude, chemicals and 
copper prices were considerably stronger, and Exxon increased 
liquids and copper production, as well as sales of petroleum and 
chemicals products.  Chemical earnings rose to record levels in the 
first quarter, more than tripling the results of a year ago.  
Improvements in crude prices and liquids production more than offset 
the effect of unseasonably warm weather which reduced natural gas 
sales, particularly in Europe, and further depressed natural gas 
prices in the U.S.  Downstream results, however, were disappointing 
as petroleum product prices did not keep pace with rising crude 
supply costs.  This, coupled with an industry wide over supply 
situation, exerted strong downward pressure on refining margins in 
all major markets.

During the quarter, Exxon maintained its active investment program 
spending over $1.7 billion on capital and exploration projects and 
advancing several large initiatives, including projects in 
Azerbaijan, China and Russia.


                                   -6-


                              EXXON CORPORATION

            MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
             CONDITION AND RESULTS OF OPERATIONS (Continued)

OTHER COMMENTS ON FIRST QUARTER COMPARISON

During the first quarter, worldwide production earnings benefited from 
crude prices that were on average more than $3.00 per barrel above the 
prior year.  Natural gas prices in Europe also moved higher, 
benefiting from improved contract terms.  However, unseasonably warm 
weather resulted in lower natural gas sales, particularly in Europe, 
and lower natural gas prices in the U.S.

Worldwide crude production was 1,776 kbd (thousand barrels per day) up 
from 1,742 kbd in 1994.  The increase in production came from 
developments in Malaysia and the North Sea, and the highest U.S. 
quarterly production in three years.  Worldwide natural gas production 
of 7,159 mcfd (million cubic feet per day) was down 118 mcfd from the 
first quarter of last year as increased production in the Asia-Pacific 
region was offset by lower demand in Europe and the U.S.

Exploration and production earnings in the U.S. were $209 million, 
down from $245 million in the first quarter of last year, as the 
benefit of higher crude prices was offset by lower natural gas prices.  
Earnings from exploration and production operations outside the U.S. 
were $757 million, up from $590 million in last year's first quarter, 
as improved crude and natural gas realizations offset the negative 
impact of lower European natural gas sales.

Worldwide petroleum product sales of 5,031 kbd rose 70 kbd from last 
year's first quarter on the strength of a 3 percent increase in clean 
product volumes.  Refining and marketing earnings benefited from lower 

scheduled maintenance activities this year, but were negatively 
affected by depressed refining margins, particularly in the U.S. and 
Europe.  First quarter refining and marketing earnings in the U.S. 
were $16 million, down from $39 million the prior year.  Earnings from 
refining and marketing operations outside the U.S. were $184 million, 
compared with $349 million in the same period a year ago.

Worldwide chemical earnings rose sharply to a quarterly record $547 
million, compared to $149 million in the first quarter of 1994.  
Higher product margins and sales volumes, along with lower operating 
expenses, produced the upturn in chemical earnings.  Chemical prime 
product sales were a quarterly record 3,369 kt (thousand metric tons), 
an increase of 3 percent from the first quarter 1994.

Earnings from other operating segments, including coal, minerals and 
power were $113 million, nearly double the $58 million earned in the 
first quarter of 1994.  Earnings this year benefited from higher 
copper prices and production.

Corporate and financing expenses of $166 million were down from the 
first quarter of last year due to a reduction in foreign exchange 
effects and lower interest costs.

Revenue totaled $29,779 million compared with $25,964 million in the 
first quarter of 1994.

                                   -7-

                              EXXON CORPORATION

             MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
              CONDITION AND RESULTS OF OPERATIONS (Continued)


OTHER COMMENTS ON FIRST QUARTER COMPARISON (Continued)

Net cash generation before financing activities was $2,488 million in 
the first three months of 1995 versus $1,798 million in the same 
period last year.  Operating activities provided net cash of $3,282 
million, an increase of $919 million from 1994's first three months, 
influenced mainly by higher net income and changes in operational 
working capital.  Investing activities used net cash of $794 million, 
or $229 million more than a year ago primarily due to lower proceeds 
from asset dispositions.

Net cash used in financing activities was $979 million in the first 
quarter of 1995 versus $1,111 million in the same quarter last year.  
During the first quarter of 1995, a total of 1.0 million shares were
acquired at a cost of $64 million.  Purchases are made in both the
open market and through negotiated transactions.  Purchases may be
discontinued at any time.

Capital and exploration expenditures totaled $1,762 million in the 
first quarter 1995 versus $1,577 million in the first quarter of 1994.  
Capital and exploration expenditures in 1995 should exceed the 1994 
level as Exxon maintains its focus on profitable growth opportunities.

Total debt of $12.8 billion at March 31, 1995 was essentially 
unchanged from year-end 1994.  The corporation's debt to total capital 
ratio was 23.6 percent at the end of the first quarter of 1995, down 
from 24.3 percent at year-end 1994, primarily due to increases in 
shareholders' equity.

Over the twelve months ended March 31, 1995, return on average 
shareholder's equity was 15.0 percent.  Return on average capital 
employed, which includes debt, was 11.7 percent over the same time 
period.

Although the corporation issues long-term debt from time to time and 
maintains a revolving commercial paper program, internally generated 
funds cover the majority of its financial requirements.

The corporation, as part of its ongoing asset management program, 
continues to evaluate its mix of assets for potential upgrade.  
Because of the ongoing nature of this program, dispositions will 
continue to be made from time to time which will result in either 
gains or losses.











                                   -8-


                              EXXON CORPORATION

            MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
             CONDITION AND RESULTS OF OPERATIONS (Concluded)


                             SPECIAL ITEMS
                             _____________

                                            First Quarter
                                        ____________________
                                         1995         1994
                                         ____         ____
                                       (millions of dollars)

EXPLORATION & PRODUCTION
________________________

Non-U.S.
   Primarily tax related                  -            $66
                                         ___           ___
TOTAL                                     -            $66
                                         ===           ===





































                                   -9-


                 PART II - OTHER INFORMATION

                      EXXON CORPORATION

             FOR THE QUARTER ENDED MARCH 31, 1995


Item 1. Legal Proceedings
_________________________

The U.S. Environmental Protection Agency (the "EPA") has indicated 
that it may issue an Administrative Order or otherwise seek 
unspecified civil penalties against Esso Virgin Islands, Inc., a 
subsidiary of the registrant, in connection with alleged violations 
under the Clean Air Act involving failure to conduct performance 
testing on a timely basis and underestimations of daily throughput of 
gasoline in an emissions permit application.

As reported in the registrant's Quarterly Report on Form 10-Q for the 
quarter ended September 30, 1993, the Texas Natural Resource 
Conservation Commission (the "TNRCC") proposed penalties totaling 
$847,460 with respect to a number of alleged water and waste 
violations at the registrant's Baytown Refinery.  On March 20, 1995, 
the registrant and the TNRCC settled the alleged violations by 
entering into an Agreed Order that included penalties totaling 
$600,000, $460,000 of which has been paid and $140,000 of which was 
deferred pending the registrant's completion of a number of 
environmental projects.  If the registrant completes these projects, 
the deferred portion of the penalties will not have to be paid.

As reported in the registrant's Quarterly Report on Form 10-Q for the 
quarter ended March 31, 1994 and its Annual Report on Form 10-K for 
the year ended December 31, 1994, in December 1994, the EPA proposed a 
penalty of $144,000 with respect to an alleged violation by the 
registrant of certain new source performance standards under the Clean 
Air Act applicable to a volatile organic compound storage tank.  The 
EPA has subsequently increased the proposed penalty to $152,600 due to 
a calculation error.

Item 6. Exhibits and Reports on Form 8-K

   a)   Exhibits

        Exhibit 27, Financial Data Schedule (included only in the 
        electronic filing of this document).

   b)   Reports on Form 8-K

        The registrant has not filed any reports on Form 8-K during 
        the quarter.










                                   -10-


                              EXXON CORPORATION

                                  FORM 10-Q

                    FOR THE QUARTER ENDED MARCH 31, 1995

                                  SIGNATURE






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.



                                     EXXON CORPORATION



Date:  May 11, 1995          
                                    /s/    W. BRUCE COOK
                            _________________________________________
                            W. Bruce Cook, Vice President, Controller
                                 and Principal Accounting Officer
































                                   -11-




 

5 THE SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM EXXON'S CONDENSED CONSOLIDATED BALANCE SHEET AT MARCH 31, 1995, AND EXXON'S CONDENSED CONSOLIDATED STATEMENT OF INCOME FOR THE FIRST QUARTER 1995, THAT ARE CONTAINED IN EXXON'S FORM 10-Q FOR THE QUARTERLY PERIOD ENDED MARCH 31, 1995. THE SCHEDULE IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS. 1,000,000 3-MOS DEC-31-1995 MAR-31-1995 2,770 404 6,544 105 5,522 18,452 119,557 55,022 91,271 19,965 9,178 2,822 0 526 35,834 91,271 29,197 29,779 12,240 12,240 4,546 0 143 2,511 851 1,660 0 0 0 1,660 1.33 0