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 9, 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




                         Page 1 of 6 pages
                The Exhibit Index appears on Page 4
 2

             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 9, 1995, the registrant issued a press release entitled
Halliburton Outsourcing Contracts For Information Technology Requirements
pertaining, among other things, to an announcement that registrant has
entered into contracts with three firms to outsource substantially all its
information technology requirements.  The contracts are for a ten-year period
and represent estimated expenditures of $500 million over the life of the
contracts.  Andersen Consulting has been selected for the applications
maintenance function contract.  I-Net, Inc. has been chosen to manage the
desktops, local area network and global telecommunications network
services.  The data center functional area has been outsourced to Power
Computing Company.

     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 January 9, 1995



                      Page 2 of 6 pages
             The Exhibit Index appears on Page 4

 3

                          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 9, 1995               By: (Robert M. Kennedy)
                                            Robert M. Kennedy
                                            Vice President - Legal



                      Page 3 of 6 pages
             The Exhibit Index appears on Page 4

 4
                        EXHIBIT INDEX



Exhibit                                 Sequentially
Number              Description              Numbered Page

    20                   Press Release of
                    January 9, 1995          5 of 6
                    Incorporated by Reference



                      Page 4 of 6 pages
             The Exhibit Index appears on Page 4

FOR IMMEDIATE RELEASE               Contact - Guy T. Marcus
January 6, 1995                     Vice President-Inv. Rel.
                                    (214) 978-2691

               HALLIBURTON OUTSOURCING CONTRACTS
             FOR INFORMATION TECHNOLOGY REQUIREMENTS

     DALLAS, Texas -- Halliburton Company (NYSE:HAL) announced
today that its Halliburton Energy Services business segment has
entered into contracts with three firms to outsource
substantially all its information technology requirements.  The
contracts are for a ten-year period and represent estimated
expenditures of $500 million over the life of the contracts.

     Andersen Consulting has been selected for the applications
maintenance function contract.  I-Net, Inc. has been chosen to
manage the desktops, local area network and global
telecommunications network services.  The data center functional
area has been outsourced to Power Computing Company.

     Thomas H. Cruikshank, chairman of the board and chief
executive officer of Halliburton Company, said, "Halliburton
Energy Services has entered into the contracts for the purpose
of obtaining a combination of lower costs while enhancing
information technology services.  The three companies
are industry leaders in the areas of expertise for which they
were selected.  Halliburton Energy Services will retain overall
information technology management and engineering systems
responsibilities."

 6

     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, and property and
casualty insurance services.

                           # # #