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)

                                OCTOBER 24, 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







                               Page 1 of 8 pages
                      The Exhibit Index appears on Page 4






                      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 October 24, 1995,  the  registrant  issued a press release  entitled
Halliburton Reports Strong Third Quarter,  pertaining, among other things, to an
announcement  that registrant  reported  substantially  higher earnings of $68.8
million,  or $.60 per  share,  from  continuing  operations  for the 1995  third
quarter compared to $49.5 million,  or $.43 per share in the 1994 third quarter.
The  combined  net  income  of  both  continuing   operations  and  discontinued
operations  for the 1995  third  quarter  was $1.1  million,  or $.01 per share,
compared to $51.7 million, or $.45 per share, for the 1994 comparable quarter.

         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 October 24, 1995















                               Page 2 of 8 pages
                      The Exhibit Index appears on Page 4








                                   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:    October 25, 1995              By: _______________________
                                            Susan S. Keith
                                            Vice President, Secretary
                                            and Corporate Counsel






























                               Page 3 of 8 pages
                      The Exhibit Index appears on Page 4







                                 EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                        Description                     Numbered Page

  20                          Press Release of
                              October 24, 1995                      5 of 8
                              Incorporated by Reference
































                               Page 4 of 8 pages
                      The Exhibit Index appears on Page 4