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)

                                 MARCH 25, 1996

                               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 March 25, 1996,  registrant  issued a press release entitled Celeste
Colgan Named Vice President for Human Resources pertaining,  among other things,
to an  announcement  that  registrant has named Celeste Colgan as Vice President
for Human Resources effective April 1, 1996. Ms. Colgan is currently director of
the  Wyoming  Department  of  Commerce.  Ms.  Colgan  will  be  responsible  for
coordinating  policies  regarding  human  resources and  executive  compensation
across all Halliburton operating units.

         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 March 25, 1996

















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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:    March 25, 1996                     By: _______________________
                                                  Robert M. Kennedy
                                                  Vice President - Legal




























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                                  EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                      Description                       Numbered Page

  20                        Press Release of
                            March 25, 1996                       5 of 5
                            Incorporated by Reference
































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FOR IMMEDIATE RELEASE             Contact:   Guy T. Marcus
March 25, 1996                               Vice President-Inv. Rel.
                                             (214) 978-2691

      CELESTE COLGAN NAMED VICE PRESIDENT FOR HUMAN RESOURCES

     DALLAS,  Texas -- Halliburton  Company  announced today that Celeste Colgan
has been named Vice President for Human Resources effective April 1, 1996.

     Colgan, 56, is currently director of the Wyoming Department of Commerce,  a
state  agency that houses five  operations  - tourism,  economic  and  community
development,   cultural   resources,   state  parks  and  historic  sites,   and
professional  licensing boards. The Wyoming Department of Commerce employs about
300 people and  operates  on a budget of about $40  million.  Formerly,  she was
deputy  chairman of the National  Endowment for the  Humanities  in  Washington,
D.C., an independent federal agency.  Colgan holds a Ph.D. in English literature
from the University of Maryland and has taught for several years in colleges and
universities.

     In her new position,  Celeste Colgan will be responsible  for  coordinating
policies  regarding  human  resources  and  executive  compensation  across  all
Halliburton operating units.

     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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