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 29, 1999

                               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

                               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

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INFORMATION TO BE INCLUDED IN REPORT Item 5. Other Events The registrant may, at its option, report under this item any events, which are not called for by this form, that the registrant deems to be important to security holders. On September 29, 1999 registrant issued a press release announcing, among other things, an award of a contract, valued at $331 million to Brown & Root - Condor (a joint venture company between Brown & Root and Condor Engineering SPA) by Sonatrach (the Algerian national oil company) and Anadarko Algeria Corporation (a US oil company). If all options are executed for this Stage II contract, the contract could have an ultimate value of $770 million. 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 29, 1999. Page 2 of 6 Pages The Exhibit Index Appears on Page 4

SIGNATURES As required by the Securities Exchange Act of 1934, the registrant has authorized this report to be signed on behalf of the registrant by the undersigned authorized individual. HALLIBURTON COMPANY Date: October 1, 1999 By: /s/ Susan S. Keith ----------------------------------- Susan S. Keith Vice President and Secretary Page 3 of 6 Pages The Exhibit Index Appears on Page 4

EXHIBIT INDEX Exhibit Sequentially Number Description Numbered Page 20 Press Release of 5 of 6 September 29, 1999 Incorporated by Reference Page 4 of 6 Pages The Exhibit Index Appears on Page 4

FOR IMMEDIATE RELEASE               CONTACT: Wendy Hall Nantz
(September 29, 1999)                         Public Relations - Americas
                                             Halliburton Company
                                             (713) 676-5227

                                             Taryn Rock
                                             Public Relations - Europe/Africa
                                             Halliburton Company
                                             44 1372 86 6693

                                             Guy Marcus
                                             Vice President - Investor Relations
                                             Halliburton Company
                                             (214) 978-2691


If All Options Executed Contract Could Have an Ultimate Value of $770 Million

DALLAS,  Texas  -  Brown & Root  Energy  Services  (BRES),  a  business  unit of
Halliburton  Company  (NYSE:  HAL),  announced  today that a  contract  has been
awarded to Brown & Root - Condor (a joint venture  company  between Brown & Root
and Condor Engineering SPA) by Sonatrach (The Algerian National Oil Company) and
Anadarko  Algeria  Corporation  (a US Oil Company) for the  expansion of the oil
production  facility at Hassi  Berkine  North  South  (HBNS).  The  engineering,
procurement and construction  (EPC) lump sum contract is a 26-month project that
started August 1, 1999, with a completion date of October 1, 2001.

This Stage II  contract,  valued at $331  million (US  dollars),  was awarded to
Brown & Root - Condor after successfully  completing Stage I of the contract. If
all options are  executed  for the  contract it could have an ultimate  value of
$770  million  (US  dollars).  Brown & Root - Condor  was  awarded  the  Stage I
contract on October 4, 1996, and achieved mechanical completion 18 months later,
introducing oil into the HBNS  facilities on May 4, 1998.  Stage I was the first
EPC lump sum  project  for  Sonatrach  and Brown & Root - Condor  completed  the
contract in record time.

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Page 2 "We are proud of our work on the Stage I contract and look forward to executing this important project," said Larry Farmer, president, Brown & Root Energy Services. The HBNS project is located 1,100 km southeast of Algiers near the Libyan/Tunisian boarder. Engineering and procurement work will be completed in Algiers and Brown & Root's offices in Houston, Texas. The base bid consists of one (1) 75,000 bpd gas/oil separation train, gas injection, and offsite facilities (flowlines, wellheads, trunklines and field gathering stations). At its peak, the project will be executed with a workforce of 1,200 employees. This contract incorporates a risk/reward element to the compensation model to allow Brown & Root - Condor to share in risks and rewards of the project. Incentives are incorporated to improve project-to-project performance and share in value creation. Brown & Root has an established track record of delivering breakthrough results in these types of projects. "This is an exciting project for our company," said Dave Lesar, president and chief operating officer, Halliburton Company. "Thanks to our innovative arrangement on this contract we will be able to provide the best strategic advice and the contract truly encourages good alignment among all of the companies." Brown & Root Energy Services supplies engineering, construction, operations and maintenance services to the upstream oil and gas industry worldwide. Its primary role is the engineering, project management, construction, maintenance and operation of the facilities that are utilized for the production and transportation of oil and gas. Brown & Root Energy Services is a business unit of Halliburton Company, headquartered in Dallas, Texas. Halliburton Company is the world's leading diversified energy services, engineering, energy equipment, construction and maintenance companies. Founded in 1919, Halliburton provides a broad range of energy services and products, industrial and marine engineering and construction services. In 1998, Halliburton's consolidated revenues were $17.4 billion and it conducted business with a workforce of approximately 100,000 in more than 120 countries. The company's World Wide Web site can be accessed at ### Page 6 of 6 Pages The Exhibit Index Appears on Page 4