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)

                                JANUARY 25, 1999

                               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. 75-2677995

                               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  January  25,  1999  registrant  issued  a  press  release  entitled
Halliburton  Reports 1998 Fourth Quarter  pertaining,  among other things, to an
announcement  that registrant earned $90 million ($.20 per diluted share) in the
1998 fourth  quarter  compared to $257 million  ($.58 per diluted  share) in the
1997 fourth quarter,  before  inclusion of special  charges.  Including the 1998
fourth quarter special charges of $24 million after-tax ($.05 per diluted share)
to accommodate  additional planned personnel  reductions and additional facility
consolidations,  the 1998 fourth  quarter's net income was $66 million ($.15 per
diluted share).  Revenues for the 1998 quarter were $4.3 billion, a five percent
decline  compared  to  the  year  earlier  quarter.  For  the  1998  full  year,
registrant's  net income  before  special  charges was $731  million  ($1.67 per
diluted  share),  down seven percent from 1998 while  revenues  increased  seven
percent to $17.4  billion.  As a result of the merger of registrant  and Dresser
Industries,  Inc. and market driven  employment  reductions,  total 1998 special
charges were $746 million  after-tax  ($1.70 per diluted share).  Including such
special charges, registrant recorded a $15 million loss for the 1998 full year.

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 January 25, 1999.






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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:    January 27, 1999          By:  /s/ Susan S. Keith
                                      --------------------------------
                                            Susan S. Keith
                                            Vice President and Secretary






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                                  EXHIBIT INDEX


Exhibit                                                       Sequentially
Number                     Description                        Numbered Page

20                         Press Release of                   5 of 8
                           January 25, 1999
                           Incorporated by Reference






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FOR IMMEDIATE RELEASE          Contact: Guy T. Marcus
January 25, 1999                        Vice President-Investor Relations
                                        (214) 978-2691


                     HALLIBURTON REPORTS 1998 FOURTH QUARTER

         DALLAS,  Texas -- Halliburton  Company  (NYSE:HAL) today announces that
the  company  earned $90  million ($ .20 per  diluted  share) in the 1998 fourth
quarter,  compared to $257 million ($ .58 per diluted  share) in the 1997 fourth
quarter,  before  inclusion of special  charges.  Including  1998 fourth quarter
special  charges  of  $24  million  after-tax  ($  .05  per  diluted  share)  to
accommodate  additional  planned  personnel  reductions of 2,750 and  additional
facility consolidations, the 1998 fourth quarter's net income was $66 million ($
 .15 per diluted share).  Revenues for the 1998 quarter were $4.3 billion, a five
percent decline compared to the year earlier quarter.  The reduction of revenues
and earnings was driven by the continued  decline of crude oil prices which have
reduced customers' cash flows and capital spending programs.
         For the 1998 full year, Halliburton's net income before special charges
was $731 million ($1.67 per diluted share),  down seven percent from 1998, while
revenues  increased seven percent to $17.4 billion.  During 1998 Halliburton and
Dresser  Industries  completed a merger of the two  companies.  As a result of a
combination of the merger and market driven  employment  reductions,  total 1998
special charges were $746 million after-tax ($1.70 per diluted share). Including
such special charges,  Halliburton recorded a $15 million loss for the 1998 full
year.
         The Energy  Services  Group  business  segment's  1998  fourth  quarter
revenues  were  $2,181  million,  a decline of 10 percent  compared  to the year
earlier  revenues.  The average  worldwide  rotary rig count declined 30 percent
during the time period.
                                     -more-

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Halliburton Company                             page 2

Revenues generated in the U.S. fell 25 percent while international revenues were
four  percent  lower than the year  earlier  quarter.  The 1998  fourth  quarter
international  business  operations  represented  76  percent  of the  segment's
revenues.  Landmark Graphics  Corporation and Brown & Root Energy Services,  the
upstream engineering and construction business unit, experienced six percent and
two percent revenue growth,  respectively,  in the 1998 fourth quarter while the
Halliburton Energy Services business unit's revenues declined about 16 percent.
         The Energy Services  Group's  operating  income was $121 million in the
1998 fourth quarter, a decline of 62 percent from the year earlier quarter.  The
segment's  1998  fourth  quarter   operating  income  includes  $60  million  of
previously  announced pre-tax  provisions for project losses by the Brown & Root
Energy  Services  business  unit  relating to project  claims  collections  from
certain customers in the North Sea, North Africa and Latin America.
         The  Engineering and  Construction  Group business  segment's  revenues
increased by five percent to $1,330 million in the 1998 fourth quarter  compared
to the 1997  quarter.  About 65  percent  of the  segment's  revenues  were from
activities  outside the U.S. Operating income was $50 million in the 1998 fourth
quarter,  25 percent less than a year  earlier.  This  decrease is partly due to
project losses  associated with the remaining  highway and paving business which
the company is in the process of exiting.
         Revenues for the Dresser  Equipment  Group  business  segment were $778
million in the 1998 fourth  quarter,  about three  percent less than last year's
fourth quarter.  Operating  income was $61 million,  down 39 percent compared to
the 1997 quarter due to $17 million in other non-recurring  merger related costs
which were  recorded  during the quarter and the changing of the Dresser  fiscal
year to a calendar year.
         Dick Cheney,  Halliburton Company's chief executive officer, said, "The
outlook has  changed  dramatically  since we closed the merger  with  Dresser on
October  1, 1998.  Then we  expressed  the goal of being able to achieve  double
digit growth in earnings 1999 over 1998, before special charges. Given the state
of today's  market, it's pretty  clear that is not going to occur.  Like many in

                                     -more-

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Halliburton Company                              page 3

the industry,  however,  I remain optimistic about the long-term outlook for our
industry and for  Halliburton in  particular.  As previously  announced,  we are
moving aggressively to right size our business for the market that is out there.
We will  continue to  implement  the merger  with  Dresser  which  looks  better
everyday  as  we  deal  with  today's  environment.  It  does  provide  us  with
significant opportunities to cut costs, to improve our technology, to strengthen
our  individual  product  service lines,  and position  ourselves for the upturn
which will occur eventually."
         Halliburton  Company,  founded in 1919, is the world's largest provider
of products and services to the  petroleum  and energy  industries.  The company
serves its  customers  with a broad range of products and  services  through its
Energy Services Group, Engineering and Construction Group, and Dresser Equipment
Group business  segments.  The company's  World Wide Web site can be accessed at
http://www.halliburton.com.

                  NOTE:  In  accordance  with the Safe Harbor  provisions of the
Private Securities  Litigation Reform Act of 1995,  Halliburton Company cautions
that  statements  in this press  release  which are  forward  looking  and which
provide other than historical information,  involve risks and uncertainties that
may impact the company's actual results of operations.  Please see Halliburton's
Form  10-Q  for  the  quarter  ended  September  30,  1998  for a more  complete
discussion of such risk factors.

                                       ###


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HALLIBURTON COMPANY CONSOLIDATED STATEMENTS OF INCOME (UNAUDITED) Quarter Ended Twelve Months Ended December 31 December 31 ------------------------ -------------------------- 1998 1997 1998 1997 ------------ ----------- ------------ ------------ Millions of dollars except per share data Revenues Energy Services Group $ 2,180.6 $ 2,424.0 $ 9,009.5 $ 8,504.7 Engineering and Construction Group 1,330.3 1,270.6 5,494.8 4,992.8 Dresser Equipment Group 778.2 800.5 2,848.8 2,779.0 ------------ ------------ ------------- ------------- Total revenues $ 4,289.1 $ 4,495.1 $ 17,353.1 $ 16,276.5 ============ ============ ============= ============= Operating income Energy Services Group $ 120.9 $ 314.0 $ 971.0 $ 1,019.4 Engineering and Construction Group 49.9 66.4 237.2 219.0 Dresser Equipment Group 60.7 100.3 247.8 248.3 Special charges (35.0) 2.1 (980.1) (16.2) General corporate (19.7) (20.4) (79.4) (71.8) ------------ ------------ ------------- ------------- Total operating income 176.8 462.4 396.5 1,398.7 Interest expense (40.9) (31.1) (136.8) (111.3) Interest income 6.4 6.1 27.8 21.9 Foreign currency gains (losses) (2.7) 3.0 (12.4) (0.7) Other nonoperating, net 1.0 4.1 3.7 4.5 ------------ ------------ ------------- ------------- Income before income taxes and minority interests 140.6 444.5 278.8 1,313.1 Provision for income taxes (60.3) (166.4) (244.4) (491.4) Minority interest in net income of subsidiaries (14.6) (20.1) (49.1) (49.3) ------------ ------------ ------------- ------------- Net income (loss) $ 65.7 $ 258.0 $ (14.7) $ 772.4 ============ ============ ============= ============= Basic income (loss) per share $ 0.15 $ 0.59 $ (0.03) $ 1.79 Diluted income (loss) per share $ 0.15 $ 0.58 $ (0.03) $ 1.77 Basic average common shares outstanding 439.3 437.6 438.8 431.1 Diluted average common shares outstanding 441.6 443.5 438.8 436.1 Prior periods restated for the acquisition of Dresser Industries, Inc., which has been accounted for as a pooling of interests.
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