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


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

     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.

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     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


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             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

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             The Exhibit Index appears on Page 4

FOR IMMEDIATE RELEASE              Contact - Guy T. Marcus
September 21, 1994                         Vice President-Inv. Rel.
                                           (214) 978-2691


     DALLAS, Texas -- Halliburton Energy Services, a business segment of
Halliburton Company (NYSE: HAL), and ENSCO Technology Company today
announced that they have signed an exclusive alliance agreement to jointly
provide directional and horizontal coiled tubing drilling service on a global
basis.  The alliance seeks to maximize the respective strengths of each
company.  ENSCO is well-known for its highly reliable and proven downhole
tools for drilling directional and horizontal wells with coiled tubing.
Halliburton is the world's largest provider of coiled tubing equipment and
and services with over 120 coiled tubing units worldwide.

     Signed on September 19, the exclusive agreement provides for the two
companies to work jointly on all directional and horizontal coiled tubing
projects worldwide, both land and offshore.  The alliance will not affect
current obligations of either party with customers or third parties.

     "ENSCO has a very strong reputation for its patented bottom-hole orienting
tool and other technologies used in drilling wells with coiled tubing" said Ken
LeSuer, President and CEO of Halliburton Energy Services.  "We believe that
this alliance will allow us to provide a great deal of value to our customers
worldwide who choose to use coiled tubing for certain directional and horizontal
drilling applications".

     Using coiled tubing for drilling has significant economic and operational
benefits in certain situations.  It has distinct advantages for re-entering
high pressure wells through casing and tubing production strings, is beneficial
in situations where location size or environmental concerns don't allow for
drilling with conventional rotary rigs, and can take less time to drill in some
cases.  Also, because of smaller hole size, there is less drilling fluid
required and less cuttings for disposal.  This is especially advantageous when
drilling underbalanced to minimize formation damage.

     According to Stan Buffington, President of ENSCO Technology Company,
the alliance allows both Halliburton and ENSCO to take advantage of their
respective strengths in order to provide the highest-quality coiled tubing
drilling services to oil and gas operators around the world.  "We are extremely
pleased to work with Halliburton in this mutually-beneficial relationship."

     ENSCO Technology Company, a wholly owned subsidiary of Energy Service
Company, Inc. (ENSCO), is recognized as an industry leader in the supply of
directional and horizontal drilling services and related technology to the oil
and gas industry.

     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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