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 16, 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 16, 1995,  the registrant  issued a press release  entitled 1995
Shareholders'  Meeting  and Second  Quarter  Dividend  pertaining,  among  other
things,  to an announcement  that at registrant's  1995 annual meeting in Dallas
the  Company's  shareholders  elected all ten nominees to the Board of Directors
and  ratified the  appointment  of Arthur  Andersen  LLP to audit the  Company's
financial statements for the year 1995. Also, registrant's shareholders rejected
a proposal set forth by a shareholder  requesting that the Company take steps to
provide for  cumulative  voting in the  election of  directors.  At the Board of
Directors  meeting  following the  shareholders'  meeting,  the Board declared a
second quarter dividend of 25 cents per share of common stock,  payable June 22,
1995 to shareholders of record at the close of business June 1, 1995.

         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 16, 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 16, 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 16, 1995              5 of 5
                                 Incorporated by Reference
































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FOR IMMEDIATE RELEASE        Contact - Guy T. Marcus
May 16, 1995                           Vice President-Inv. Rel.
                                       (214) 978-2691

    1995 SHAREHOLDERS' MEETING AND SECOND QUARTER DIVIDEND

     DALLAS,  Texas -- At Halliburton  Company's  (NYSE:  HAL) annual meeting in
Dallas today, the company's  shareholders  elected all ten nominees to the board
of directors and ratified the  appointment  of Arthur  Andersen LLP to audit the
company's   financial   statements  for  the  year  1995.  Also,   Halliburton's
shareholders rejected a proposal set forth by a shareholder  requesting that the
company  take  steps  to  provide  for  cumulative  voting  in the  election  of
directors.

     At the board of directors meeting following the shareholders  meeting,  the
board declared a second quarter  dividend of 25 cents per share of common stock,
payable June 22, 1995 to shareholders of record at the close of business June 1,
1995.

     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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