SECURITIES AND EXCHANGE COMMISSION

                             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)

                                OCTOBER 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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                      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 October 24, 1995,  the  registrant  issued a press release  entitled
Halliburton Reports Strong Third Quarter,  pertaining, among other things, to an
announcement  that registrant  reported  substantially  higher earnings of $68.8
million,  or $.60 per  share,  from  continuing  operations  for the 1995  third
quarter compared to $49.5 million,  or $.43 per share in the 1994 third quarter.
The  combined  net  income  of  both  continuing   operations  and  discontinued
operations  for the 1995  third  quarter  was $1.1  million,  or $.01 per share,
compared to $51.7 million, or $.45 per share, for the 1994 comparable quarter.

         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 October 24, 1995















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                                   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 hereunto duly authorized.

                                       HALLIBURTON COMPANY




Date:    October 25, 1995              By: _______________________
                                            Susan S. Keith
                                            Vice President, Secretary
                                            and Corporate Counsel






























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                                 EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                        Description                     Numbered Page

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
































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

              HALLIBURTON REPORTS STRONG THIRD QUARTER

     DALLAS,   Texas  --   Halliburton   Company   (NYSE:HAL)   today   reported
substantially  higher  earnings  of  $68.8  million,  or $.60  per  share,  from
continuing  operations for the 1995 third quarter compared to $49.5 million,  or
$.43 per share in the 1994 third quarter.  Continuing  operations consist of the
company's core business segments Halliburton Energy Services and Engineering and
Construction  Services.

     Discontinued   operations  consist  of  the  company's  insurance  services
business segment.  During the 1995 third quarter Halliburton  announced plans to
spin-off  its  Highlands   Insurance  Group,  Inc.   subsidiary  to  Halliburton
shareholders by the end of 1995. In connection with the planned spin-off, in the
1995 third  quarter  Highlands  increased  reserves for claim losses and related
expenses and provided for certain  legal matters of the  discontinued  business.
These  charges,   together  with  certain  other   provisions   associated  with
Halliburton's  complete  exit  from the  insurance  business  and the  operating
results of Highlands  produced an after-tax loss of $67.7  million,  or $.59 per
share, by the discontinued insurance business in the 1995 third quarter compared
to income of $2.2 million, or $.02 per share, in the year earlier period.


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     The  combined net income of both  continuing  operations  and  discontinued
operations  for the 1995  third  quarter  was $1.1  million,  or $.01 per share,
compared to $51.7 million, or $.45 per share, for the 1994 comparable quarter.

     The Halliburton  Energy Services  business  segment's  revenues were $683.0
million for the 1995 third quarter, an increase of 6% compared to the 1994 third
quarter. During such period the worldwide rotary rig count declined by about 3%.
The year ago quarter included  revenues of some businesses sold in late 1994 and
revenues, on a comparable basis,  increased 9%. International business increased
18% compared to the year earlier quarter and accounted for 60% of the 1995 third
quarter's total revenues.  Growth was recognized in all  international  regions,
with the largest gain experienced in Latin America.

     Halliburton Energy Services' operating income was $88.2 million in the 1995
third quarter,  8% above the year earlier quarter and a 24% increase compared to
the 1995 second quarter.  Operating  margins improved to 12.9% in the 1995 third
quarter.

     The Engineering and  Construction  Services  business  segment's 1995 third
quarter revenues of $806.8 million were 14% higher than the year earlier period,
while  operating  income  increased  55%  compared  to the 1994  third  quarter.
Operating  margins  improved  to 3.9%  compared  to 2.9%  last  year.  Increased
revenues  and  operating  income  were led by the Brown & Root  Energy  Services
business unit.


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     Thomas H. Cruikshank,  Halliburton  Company's  chairman of the board, said,
"Halliburton's  strong  performance in the 1995 third quarter reflects continued
earnings  progress  at both  Halliburton  Energy  Services  and  Brown &  Root's
engineering and construction  businesses and such growth is being accompanied by
improving profit margins.  Our businesses are benefitting from the restructuring
and cost  efficiency  programs  implemented  over the past several  years.  I am
optimistic about future prospects for both business segments as they focus their
resources on developing new business  opportunities in the growing international
marketplace.

     "The spin-off of Highlands to Halliburton's shareholders completes our exit
from  the  insurance  business.  The  spin-off  is  a  win-win  action  in  that
Halliburton  can now  give  its  entire  focus  to its  core  businesses,  while
Highlands  can now go forward as an  independent  company with a strategy  based
solely on its own objectives."

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

                                     # # #


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HALLIBURTON COMPANY Quarter Ended Nine Months Ended September 30, September 30, --------- --------- --------- --------- 1995 1994 1995 1994 --------- --------- --------- --------- Millions of dollars except per share data Revenues Energy services $ 683.0 $ 642.8 $1,881.6 $1,847.4 Engineering and construction services 806.8 704.8 2,279.7 2,185.1 --------- --------- --------- --------- Total revenues $1,489.8 $1,347.6 $4,161.3 $4,032.5 ========= ========= ========= ========= Operating income Energy services $ 88.2 $ 81.9 $ 211.5 $ 95.2 Engineering and construction services 31.2 20.2 80.2 45.8 General corporate expenses (8.3) (5.5) (21.9) (17.6) --------- --------- --------- --------- Total operating income 111.1 96.6 269.8 123.4 Interest expense (15.0) (12.6) (40.1) (33.6) Interest income 10.0 2.7 24.2 8.4 Foreign currency gains (losses) (2.5) (1.7) 0.6 (15.2) Other nonoperating, net 0.3 (0.8) 0.5 0.4 --------- --------- --------- --------- Income from continuing operations before income taxes and minority interest 103.9 84.2 255.0 83.4 Provision for income taxes (34.9) (35.0) (92.1) (33.3) Minority interest (0.2) 0.3 (1.0) 0.0 --------- --------- --------- --------- Income from continuing operations 68.8 49.5 161.9 50.1 Income (loss) from discontinued operations, net of income taxes (67.7) 2.2 (65.5) 0.2 --------- --------- --------- --------- Net income $ 1.1 $ 51.7 $ 96.4 $ 50.3 ========= ========= ========= ========= Income (loss) per share: Continuing operations $ 0.60 $ 0.43 $ 1.41 $ 0.44 Discontinued operations (0.59) 0.02 (0.57) 0.00 Net income 0.01 0.45 0.84 0.44 Average common and common share equivalents outstanding 114.6 114.2 114.4 114.2 * Per share amounts are based upon average number of common and common share equivalents outstanding.
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