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)

                                  JUNE 9, 2003

                               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. 75-2677995


                            1401 McKinney, Suite 2400
                              Houston, Texas 77010
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 713-759-2600



         INFORMATION TO BE INCLUDED IN REPORT

Item 9.  Regulation FD Disclosure

         On  June  9,  2003,   registrant   issued  a  press  release   entitled
"Halliburton 2003 Second Quarter Conference Call."

         The text of the press release is as follows:

                 HALLIBURTON 2003 SECOND QUARTER CONFERENCE CALL

HOUSTON,  Texas  --  Halliburton  (NYSE:HAL)  will  host a  conference  call  on
Thursday,  July 31, 2003, to discuss second quarter financial results.  The call
will begin at 9:00 AM Central Time (10:00 AM Eastern Time).  The results will be
released that morning before the market opens.

The press release  concerning the 2003 second quarter earnings will be posted on
the  Halliburton web site  www.halliburton.com  and will be available on the Dow
Jones newswire. Please visit our website at www.halliburton.com to listen to the
call live via webcast.  A replay will be available on the  Halliburton  web site
for seven days following the event. In addition, you may participate in the call
by telephone at (913) 981-5571.

Halliburton,  founded  in  1919,  is one of the  world's  largest  providers  of
products and services to the petroleum and energy industries. The company serves
its  customers  with a broad range of products and  services  through its Energy
Services Group and Engineering and  Construction  Group business  segments.  The
company's World Wide Web site can be accessed at http://www.halliburton.com.



                                   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:     June 9, 2003                 By: /s/ Margaret E. Carriere
                                          -------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary