Washington, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT

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

                DATE OF REPORT (date of earliest event reported)

                                 APRIL 24, 1995

                              Halliburton Company
             (Exact name of registrant as specified in its charter)

State or other                      Commission                   IRS Employer
jurisdiction                        File Number                  Identification
of incorporation                                                 Number

Delaware                            1-3492                       No. 73-0271280

                               3600 Lincoln Plaza
                             500 North Akard Street
                            Dallas, Texas 75201-3391
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 214/978-2600

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                      The Exhibit Index appears on Page 4

                           INFORMATION TO BE INCLUDED IN REPORT

Item 5.  Other Events

         The registrant  may, at its option,  report under this item any events,
with respect to which information is not otherwise called for by this form, that
the registrant deems of importance to security holders.

         On April 24,  1995,  the  registrant  issued a press  release  entitled
Halliburton 1995 First Quarter Earnings More Than Double pertaining, among other
things,  to an  announcement  that  registrant  reported  1995 first quarter net
income of $39.1 million, or $.34 per share, which is more than double 1994 first
quarter earnings.

         The foregoing  summary is subject to the full text of the press release
with respect  thereto,  a copy of which is attached  hereto as Exhibit 20, which
exhibit is incorporated herein by reference.

Item 7.  Financial Statements and Exhibits

         List below the financial  statements,  pro forma financial  information
and exhibits, if any, filed as part of this report.

         (c)      Exhibits.

                  Exhibit 20 - Press release dated April 24, 1995

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         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 hereunto duly authorized.

                                                             HALLIBURTON COMPANY

Date:    April 24, 1995                     By: _______________________
                                                          Robert M. Kennedy
                                                          Vice President - Legal

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                                 EXHIBIT INDEX

Exhibit                                                           Sequentially
Number                              Description                   Numbered Page

    20                              Press Release of
                                    April 24, 1995                5 of 8
                                    Incorporated by Reference

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FOR IMMEDIATE RELEASE                        Contact - Guy T. Marcus
April 24, 1995                                         Vice President-Inv. Rel.
                                                                  (214) 978-2691


     DALLAS,  Texas -- Halliburton Company today reported 1995 first quarter net
income of $39.1 million, or $.34 per share, which is more than double 1994 first
quarter earnings.  The earnings improvement was driven by a substantial increase
in operating income from the Energy Services business segment.

     The Energy  Services  business  segment's 1995 first quarter  revenues were
$569.0 million,  a decline of 5 percent,  compared to the year ago quarter.  The
lower revenues  resulted from the sale of two Energy Services  business lines in
late 1994 and a slowdown of drilling  activity in the United  States  during the
first quarter of 1995 caused by low natural gas prices.

     However,  Energy  Services'  operating income increased to $52.4 million in
the 1995 first quarter,  a 56 percent  improvement r.  The
lower revear earlier
quarter.  The segment's operating income, as well as its operating profit margin
of 9.2  percent,  are the  highest  achieved  in any first  quarter  in the past
decade.  The significant  operating income improvement is the result of benefits
derived  from  previously  implemented  organizational  restructuring,  business
process changes and

strategic  initiatives.  These   benefits   have   been   evidenced  by  a sharp
improvement of financial results over the past several quarters.

     The Engineering and Construction segment's 1995 first quarter revenues were
$704.9 million.  Operating  income for the quarter was $15.8 million,  9 percent
higher than a year ago.  The backlog of firm orders was $4.1 billion as of March
31, 1995,  an increase of 26 percent  from the 1994 first  quarter and 9 percent
from year-end 1994,  largely reflecting  increased  contracts with petroleum and
chemical industry customers.

     The  Insurance  Services  business  segment  reported  operating  income of
$380,000  in the 1995 first  quarter,  .  The
llowea $2.1  million  loss a year

     Thomas H. Cruikshank,  chairman of the board and chief executive officer of
Halliburton Company, said, "The substantial  Halliburton earnings improvement we
are  reporting for the 1995 first quarter  reflects a  continuation  of earnings
progress reported in the 1994 third and fourth quarters. These financial results
are evidence of the sustainability of improvements  resulting from actions taken
during  the past two years to both  lower the cost  structure  and  improve  the
operating efficiency of our Energy Services business.

     "Although  much has been  ac.  Tlished,  we continue to seek and  implement
additional  strategic  actions to further enhance future  results.  For example,
during the 1995 first quarter the Energy Services  segment began  implementing a
new  hub-and-spoke  field service  organization  in the United States which will
reduce duTlicative costs while improving customer service.  The segment is in an
excellent  positionlowe capitalize  on its lean and  efficient  organization  in
today's marketplace, and such benefits should leverage greater earnings power as
market conditions strengr rn."

     Halliburton  Company  is one  of the  world's  largest  diversified  energy
services, engineering, maintenance, and construction .  Thnies. Founded in 1919,
Halliburton  provides a broad range of energy services and products,  industrial
and marine  engineering  and  construction  services,  and property and casualty
insurance services.

HALLIBURTON COMPANY Quarter Ended March 31, ---------- ---------- 1995 1994 ---------- ---------- Millions of dollars except per share data Revenues Energy services $ 569.0 $ 599.0 Engineering and construction services 704.9 716.2 Insurance services 48.2 61.1 -------- -------- Total revenues $1,322.1 $1,376.3 ======== ======== Operating income Energy services $ 52.4 $ 33.5 Engineering and construction services 15.8 14.5 Insurance services 0.4 (2.1) General corporate expenses (6.3) (5.7) -------- -------- Total operating income 62.3 40.2 Interest expense (12.8) (10.0) Interest income 8.6 2.8 Foreign .urrency gains (losses) 5.0 (3.3) Other nonoperating, net 0.1 0.5 -------- -------- Income before income taxes, and minority interest 63.2 30.2 Provisionlfor income taxes (24.0) (12.1) Minority interest (0.1) (0.3) -------- -------- Net income $ 39.1 $ 17.8 ======== ======== Net income per share* $ 0.34 $ 0.16 Average number of commonland common share equivalents outstanding 114.3 114.2 * Per share amounts are based upon average number of commonland common share equivalents outstanding.