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)

                                 MARCH 21, 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


                               4100 Clinton Drive
                            Houston, Texas 77020-6299
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 713-676-3011



         INFORMATION TO BE INCLUDED IN REPORT

Item 9.  Regulation FD Disclosure

         On  March  21,  2003  registrant   issued  a  press  release   entitled
"Halliburton 2003 First Quarter Conference Call."

         The text of the press release is as follows:

                 HALLIBURTON 2003 FIRST QUARTER CONFERENCE CALL


         Houston, Texas -- Halliburton (NYSE:HAL) will host a conference call on
Tuesday,  April 29, 2003, to discuss first 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 first 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 (719) 457-2629.

         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 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:     March 25, 2003               By: /s/ Margaret E. Carriere
                                          ---------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary