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)

                         SEPTEMBER 21, 1994

                        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 7 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 September 21, 1994, the registrant issued a
press release entitled Halliburton and ENSCO Form
Exclusive Coiled Tubing Drilling Alliance pertaining,
among other things, to an announcement that the
registrant and ENSCO Technology Company have signed
an exclusive alliance agreement to jointly provide
directional and horizontal coiled tubing drilling
services on a global basis.

     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 September
          21, 1994.



                      Page 2 of 7 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:     September 23, 1994            By: (Robert M. Kennedy)
                                             Robert M. Kennedy
                                        Vice President - Legal


 4


                      Page 3 of 7 pages
             The Exhibit Index appears on Page 4

                        EXHIBIT INDEX



Exhibit                                 Sequentially
Number              Description         Numbered Page

20                  Press Release of
                    September 21, 1994       5 of 7
                    Incorporated by Reference
































                      Page 4 of 7 pages
             The Exhibit Index appears on Page 4