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)

                                  MAY 15, 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 May  15,  1995,  the  registrant  issued  a press  release  entitled
Halliburton  Plans  Disposition of NUS Training  Corporation  pertaining,  among
other things,  to an announcement that registrant has retained Smith Barney Inc.
to assist it in the disposition of its training  products and services  company,
NUS Training Corporation.  NUS Training Corporation is currently part of Brown &
Root, Inc., a wholly-owned subsidiary of Halliburton.

         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 May 15, 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:    May 15, 1995                       By: _______________________
                                                  Robert M. Kennedy
                                                  Vice President - Legal




























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                                 EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                              Description               Numbered Page

    20                              Press Release of
                                    May 15, 1995              5 of 5
                                    Incorporated by Reference
































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FOR IMMEDIATE RELEASE        Contact - Guy T. Marcus
May 15, 1995                           Vice President-Inv. Rel.
                                       (214) 978-2691


    HALLIBURTON PLANS DISPOSITION OF NUS TRAINING CORPORATION

     DALLAS,  Texas -- Halliburton  Company (NYSE:  HAL) announced today that it
has retained  Smith Barney Inc. to assist it in the  disposition of its training
products  and  services  company,   NUS  Training   Corporation.   NUS  Training
Corporation is currently part of Brown & Root,  Inc., a wholly-owned  subsidiary
of Halliburton.

     NUS   Training   Corporation   is   an   industry   leader   in   producing
state-of-the-art training products and services in the technical skills training
field.  Their  services and products are focused on  interactive  videodisc  and
CD-ROM  technologies.  During  the fiscal  year ended  December  31,  1994,  NUS
Training Corporation reported revenues of approximately $20 million.

     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.

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