FORM 10-Q

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


           [X] Quarterly Report Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934
                  For the quarterly period ended June 30, 1999

                                       OR

              [ ] Transition Report Pursuant to Section 13 or 15(d)
                     of the Securities Exchange Act of 1934
                  For the transition period from _____ to _____



                          Commission File Number 1-3492


                               HALLIBURTON COMPANY

                            (a Delaware Corporation)
                                   75-2677995

                               3600 Lincoln Plaza
                                  500 N. Akard
                               Dallas, Texas 75201

                   Telephone Number - Area Code (214) 978-2600

 Indicate  by check  mark  whether  the  registrant  (1) has filed  all  reports
required to be filed by Section 13 or 15(d) of the  Securities  Exchange  Act of
1934  during  the  preceding  12 months  (or for such  shorter  period  that the
registrant was required to file such reports),  and (2) has been subject to such
filing requirements for the past 90 days.
  Yes   X    No ___

 Indicate the number of shares  outstanding  of each of the issuer's  classes of
common stock, as of the latest practicable date.

 Common stock, par value $2.50 per share:
Outstanding at July 30, 1999 - 441,220,000










                                               HALLIBURTON COMPANY

                                                      Index

                                                                                                          Page No.
                                                                                                    
PART I.      FINANCIAL INFORMATION

Item 1.      Financial Statements

             Quarterly Condensed Consolidated Financial Statements
             o  Statements of Income for the three months and six months ended June 30, 1999                  2
                and 1998
             o  Balance Sheets at June 30, 1999 and December 31, 1998                                         3
             o  Statements of Cash Flows for the six months ended June 30, 1999 and 1998                      4
             o  Notes to Financial Statements
                  1.  Management representations                                                              5
                  2.  Business segment information                                                            5
                  3.  Acquisitions and dispositions                                                           6
                  4.  Inventories                                                                             7
                  5.  Dresser financial information                                                           7
                  6.  Commitments and contingencies                                                           8
                  7.  Income per share                                                                        9
                  8.  Comprehensive income                                                                    9
                  9.  Special charges                                                                         9
                10.   Change in accounting method                                                            10
                11.   Investment in Bufete                                                                   11

Item 2.      Management's Discussion and Analysis of Financial Condition and Results of Operations           11

PART II.     OTHER INFORMATION

Item 4.      Submission of Matters to a Vote of Security Holders                                             24

Item 6.      Listing of Exhibits and Reports on Form 8-K                                                     24

Signatures                                                                                                   26

Exhibits:    Financial data schedule for the six months ended June 30, 1999 (included only in
                the copy of this report filed electronically with the Commission)




                                       1


PART I.  FINANCIAL INFORMATION
Item 1.  Financial Statements



                               HALLIBURTON COMPANY
                   Condensed Consolidated Statements of Income
                                   (Unaudited)
             (Millions of dollars and shares except per share data)

                                                                  Three Months                        Six Months
                                                                  Ended June 30                      Ended June 30
                                                          -----------------------------------------------------------------
                                                              1999             1998              1999             1998
- ---------------------------------------------------------------------------------------------------------------------------
                                                                                                  
Revenues:
Services                                                  $    2,693       $     3,256       $    5,565       $     6,266
Sales                                                            933             1,269            1,957             2,461
Equity in earnings of unconsolidated affiliates                   44                60               72               113
- ---------------------------------------------------------------------------------------------------------------------------
     Total revenues                                       $    3,670       $     4,585       $    7,594       $     8,840
- ---------------------------------------------------------------------------------------------------------------------------
Operating costs and expenses:
Cost of services                                          $    2,588       $     2,870       $    5,349       $     5,599
Cost of sales                                                    803             1,114            1,707             2,119
General and administrative                                       130               165              237               325
Special charge credits                                           (47)                -              (47)                -
- ---------------------------------------------------------------------------------------------------------------------------
    Total operating costs and expenses                         3,474             4,149            7,246             8,043
- ---------------------------------------------------------------------------------------------------------------------------
Operating income                                                 196               436              348               797
Interest expense                                                 (34)              (31)             (70)              (61)
Interest income                                                    6                 7               38                14
Foreign currency gains (losses), net                               4                (2)               3                (2)
Other nonoperating, net                                          (26)               (1)             (24)               (1)
- ---------------------------------------------------------------------------------------------------------------------------
Income before taxes, minority interest and
   change in accounting method                                   146               409              295               747
Provision for income taxes                                       (53)             (153)            (113)             (281)
Minority interest in net income of subsidiaries                  (10)              (13)             (18)              (20)
- ---------------------------------------------------------------------------------------------------------------------------
Income before accounting change                                   83               243              164               446
Cumulative effect of change in accounting method, net              -                 -              (19)                -
- ---------------------------------------------------------------------------------------------------------------------------
Net income                                                $       83       $       243       $      145       $       446
- ---------------------------------------------------------------------------------------------------------------------------

Basic income per share:
  Before change in accounting method                      $     0.19        $     0.55       $    0.37        $     1.02
  Change in accounting method                                      -                 -           (0.04)                -
- ---------------------------------------------------------------------------------------------------------------------------
  Net income                                              $     0.19        $     0.55       $    0.33        $     1.02

Diluted income per share:
  Before change in accounting method                      $    0.19        $     0.55        $    0.37        $     1.01
  Change in accounting method                                     -                 -            (0.04)                -
- ---------------------------------------------------------------------------------------------------------------------------
  Net income                                              $    0.19        $     0.55        $    0.33        $     1.01
- ---------------------------------------------------------------------------------------------------------------------------

Cash dividends per share    *                             $   0.125        $    0.125        $    0.25        $     0.25
- ---------------------------------------------------------------------------------------------------------------------------
Basic average common shares outstanding                         440              438               440               438
Diluted average common shares outstanding                       444              443               443               443
<FN>
* The 1998  cash  dividends  per share  represent  amounts  paid by  Halliburton
Company prior to the merger with Dresser Industries, Inc. See notes to quarterly
financial statements.
</FN>


                                       2



                               HALLIBURTON COMPANY
                      Condensed Consolidated Balance Sheets
                                   (Unaudited)
             (Millions of dollars and shares except per share data)
                                                                                      June 30              December 31
                                                                                  ---------------------------------------
                                                                                        1999                   1998
- -------------------------------------------------------------------------------------------------------------------------
                                      Assets
                                                                                                       
Current assets:
Cash and equivalents                                                                 $    336                $    203
Receivables:
  Notes and accounts receivable                                                         2,939                   3,345
  Unbilled work on uncompleted contracts                                                  538                     515
- -------------------------------------------------------------------------------------------------------------------------
    Total receivables                                                                   3,477                   3,860
Inventories                                                                             1,223                   1,302
Deferred income taxes, current                                                            324                     432
Other current assets                                                                      231                     286
- -------------------------------------------------------------------------------------------------------------------------
   Total current assets                                                                 5,591                   6,083
Property, plant and equipment:
   Less accumulated depreciation of $3,956 and $3,929                                   2,847                   2,922
Equity in and advances to related companies                                               552                     587
Excess of cost over net assets acquired                                                   760                     770
Deferred income taxes, noncurrent                                                         363                     337
Other assets                                                                              374                     413
- -------------------------------------------------------------------------------------------------------------------------
   Total assets                                                                   $    10,487             $    11,112
- -------------------------------------------------------------------------------------------------------------------------

                      Liabilities and Shareholders' Equity
Current liabilities:
Short-term notes payable                                                          $       625             $       515
Current maturities of long-term debt                                                      364                      59
Accounts payable                                                                        1,179                   1,009
Accrued employee compensation and benefits                                                204                     402
Advance billings on uncompleted contracts                                                 292                     513
Income taxes payable                                                                      167                     246
Accrued special charges                                                                   166                     426
Other current liabilities                                                                 699                     834
- -------------------------------------------------------------------------------------------------------------------------
   Total current liabilities                                                            3,696                   4,004
Long-term debt                                                                          1,064                   1,370
Employee compensation and benefits                                                        971                   1,007
Other liabilities                                                                         504                     500
Minority interest in consolidated subsidiaries                                            162                     170
- -------------------------------------------------------------------------------------------------------------------------
  Total liabilities                                                                     6,397                   7,051
- -------------------------------------------------------------------------------------------------------------------------
Shareholders' equity:
  Common shares, par value $2.50 per share -
    Authorized 600 shares, issued 447 and 446 shares                                    1,118                   1,115
  Paid-in capital in excess of par value                                                   43                       8
  Deferred compensation                                                                   (47)                    (51)
  Accumulated other comprehensive income                                                 (195)                   (149)
  Retained earnings                                                                     3,271                   3,236
- -------------------------------------------------------------------------------------------------------------------------
                                                                                        4,190                   4,159
  Less 6 shares of treasury stock, at cost in both periods                                100                      98
- -------------------------------------------------------------------------------------------------------------------------
  Total shareholders' equity                                                            4,090                   4,061
- -------------------------------------------------------------------------------------------------------------------------
  Total liabilities and shareholders' equity                                      $    10,487             $    11,112
- -------------------------------------------------------------------------------------------------------------------------
<FN>
See notes to quarterly financial statements.
</FN>



                                       3





                               HALLIBURTON COMPANY
                 Condensed Consolidated Statements of Cash Flows
                                   (Unaudited)
                              (Millions of dollars)
                                                                                                 Six Months
                                                                                                Ended June 30
                                                                                       --------------------------------
                                                                                           1999               1998
- -----------------------------------------------------------------------------------------------------------------------
                                                                                                    
Cash flows from operating activities:
  Net income                                                                           $     145          $     446
    Adjustments to reconcile net income to net cash from operations:
        Depreciation, depletion and amortization                                             290                291
        Provision (benefit) for deferred income taxes                                         82                 (8)
        Change in accounting methods                                                          19                  -
        Distributions from (advances to) related companies, net of
           equity in (earnings) losses                                                       (14)              (133)
        Change in accrued special charges                                                   (260)               (13)
        Other non-cash items                                                                  92                 25
        Other changes, net of non-cash items:
           Receivables and unbilled work                                                     103               (366)
           Inventories                                                                        78               (149)
           Accounts payable                                                                  140                178
           Other working capital, net                                                       (521)              (170)
           Other, net                                                                       (161)                43
- -----------------------------------------------------------------------------------------------------------------------
  Total cash flows from operating activities                                                  (7)               144
- -----------------------------------------------------------------------------------------------------------------------

Cash flows from investing activities:
  Capital expenditures                                                                      (267)              (470)
  Sales of property, plant and equipment                                                     100                 54
  Dispositions (acquisitions) of businesses                                                  273                (36)
  Other investing activities                                                                  (3)                (1)
- -----------------------------------------------------------------------------------------------------------------------
  Total cash flows from investing activities                                                 103               (453)
- -----------------------------------------------------------------------------------------------------------------------

Cash flows from financing activities:
  Payments on long-term borrowings                                                            (8)               (11)
  Net borrowings of short-term debt                                                          119                370
  Payments of dividends to shareholders                                                     (110)              (133)
  Proceeds from exercises of stock options                                                    33                 40
  Payments to re-acquire common stock                                                         (3)               (17)
  Other financing activities                                                                   -                 (5)
- -----------------------------------------------------------------------------------------------------------------------
  Total cash flows from financing activities                                                  31                244
- -----------------------------------------------------------------------------------------------------------------------

Effect of exchange rate changes on cash                                                        6                  -
- -----------------------------------------------------------------------------------------------------------------------
Increase (decrease) in cash and equivalents                                                  133                (65)
Cash and cash equivalents at beginning of period                                             203                346
- -----------------------------------------------------------------------------------------------------------------------
Cash and equivalents at end of period                                                  $     336          $     281
- -----------------------------------------------------------------------------------------------------------------------

Supplemental  disclosure  of cash flow  information:  Cash  payments  during the
period for:
  Interest                                                                             $      70          $      51
  Income taxes                                                                         $     106          $     195
<FN>
See notes to quarterly financial statements.
</FN>



                                       4



                               HALLIBURTON COMPANY
                     Notes to Quarterly Financial Statements
                                   (Unaudited)

Note 1.  Management Representations
         We employ  accounting  policies that are in accordance  with  generally
accepted  accounting  principles in the United  States.  In preparing  financial
statements in conformity  with  generally  accepted  accounting  principles  our
management must make estimates and assumptions that affect:
         o  the reported amounts of assets and liabilities,
         o  the disclosure of contingent  assets and  liabilities at the date of
            the financial statements, and
         o  the reported  amounts of revenues and expenses during the reporting
            period.
Ultimate results could differ from those estimates.
         The accompanying  unaudited condensed consolidated financial statements
were  prepared  using  generally  accepted  accounting  principles  for  interim
financial  information and the instructions to Form 10-Q and applicable rules of
Regulation  S-X.  Accordingly,  these  financial  statements  do not include all
information or footnotes  required by generally accepted  accounting  principles
for complete  financial  statements and should be read in  conjunction  with our
1998 Annual Report on Form 10-K.
         In our opinion, the condensed consolidated financial statements present
fairly  our  financial  position  as of June 30,  1999,  and the  results of our
operations  for the three and six months  ended  June 30,  1999 and 1998 and our
cash flows for the six months then  ended.  The  results of  operations  for the
three and six  months  ended  June 30,  1999 and 1998 may not be  indicative  of
results  for  the  full  year.   Additionally,  prior  year  amounts  have  been
reclassified to conform to the current year presentation.

Note 2.  Business Segment Information
         We have three business segments.
         The Energy Services Group contains Halliburton Energy Services, Brown &
Root Energy  Services  and Landmark  Graphics  Corporation.  Halliburton  Energy
Services  provides   pressure  pumping  equipment  and  services,   logging  and
perforating, drilling systems and services, drilling fluids systems, drill bits,
specialized  completion and production equipment and services, and well control.
Brown  & Root  Energy  Services  provides  upstream  oil  and  gas  engineering,
construction and maintenance services,  specialty pipe coating,  insulation, and
underwater   engineering   services.   Landmark  Graphics  Corporation  provides
integrated   exploration   and  production   information   systems  and  related
professional services to the petroleum industry.
         The Engineering and  Construction  Group includes  Kellogg Brown & Root
and  Brown  & Root  Services.  This  group  provides  engineering,  procurement,
construction,  project management,  and facilities operation and maintenance for
hydrocarbon processing and other industrial and governmental customers.
         The Dresser  Equipment Group designs,  manufactures  and markets highly
engineered  products and systems.  These include  compressors,  valves,  motors,
engines,   pumps,   generators,    blowers,   fuel   dispensing   systems,   and
instrumentation  equipment principally for oil and gas producers,  transporters,
processors, distributors and petroleum users throughout the world.
         Our equity in pretax income or losses of related  companies is included
in  revenues  and  operating  income of each  applicable  segment.  Intersegment
revenues included in the revenues of the other business segments are immaterial.


                                       5






         The table below presents revenues and operating income by segment.



                                                              Three Months                        Six Months
                                                             Ended June 30                      Ended June 30
                                                    --------------------------------------------------------------------
  Millions of dollars                                    1999              1998             1999              1998
- ------------------------------------------------------------------------------------------------------------------------
                                                                                             
  Revenues:
    Energy Services Group                           $    1,681        $    2,381       $    3,434        $    4,666
    Engineering and Construction Group                   1,372             1,438            2,880             2,785
    Dresser Equipment Group                                617               766            1,280             1,389
- ------------------------------------------------------------------------------------------------------------------------
      Total                                         $    3,670        $    4,585       $    7,594        $    8,840
- ------------------------------------------------------------------------------------------------------------------------

  Operating income:
    Energy Services Group                           $       49        $      304       $      106        $      587
    Engineering and Construction Group                      64                74              122               133
    Dresser Equipment Group                                 53                77              107               116
    Special charge credits                                  47                 -               47                 -
    General corporate                                      (17)              (19)             (34)              (39)
- ------------------------------------------------------------------------------------------------------------------------
      Total                                         $      196        $      436       $      348        $      797
- ------------------------------------------------------------------------------------------------------------------------


Note 3. Acquisitions and Dispositions
         On  September  29,  1998,  we  completed  the  acquisition  of  Dresser
Industries,  Inc. The  outstanding  Dresser  common stock was converted into our
common  stock.  The  merger  qualified  as  a  tax-free  exchange  to  Dresser's
shareholders  for U.S.  federal  income tax purposes and was accounted for using
the  pooling  of  interests  method of  accounting  for  business  combinations.
Accordingly,  our financial statements have been restated to include the results
of Dresser for all periods presented.  Beginning in 1998,  Dresser's year-end of
October 31 was changed to Halliburton's calendar year-end.
         The results of  operations  for  Halliburton  and Dresser  prior to the
merger and the combined amounts are presented below:



                                            Three Months          Six Months
                                            Ended June 30        Ended June 30
                                         -----------------------------------------
Millions of dollars                             1998                 1998
- ----------------------------------------------------------------------------------
                                                          
Revenues:
  Halliburton                              $     2,476          $     4,831
  Dresser                                        2,109                4,009
- ----------------------------------------------------------------------------------
    Combined                               $     4,585          $     8,840
- ----------------------------------------------------------------------------------

Net income:
  Halliburton                              $       136          $       254
  Dresser                                          107                  192
- ----------------------------------------------------------------------------------
    Combined                               $       243          $       446
- ----------------------------------------------------------------------------------


         In  connection  with  the  Dresser   merger,   we  sold  our  worldwide
logging-while-drilling business and related measurement-while-drilling  business
in March 1999. The sale was in compliance  with a consent decree with the United
States Department of Justice.  The financial impact of the sale was reflected in
the third quarter 1998 special  charge.  This business was  previously a part of
the Energy Services Group.
         We sold our 36%  interest  in M-I  L.L.C.  in August,  1998.  This sale
completed our commitment to the U.S.  Department of Justice to sell our interest
in M-I in connection  with the merger with Dresser.  The purchase  price of $265
million was paid with a non-interest  bearing  promissory note due and collected
in April,  1999. M-I was previously a part of the Energy  Services Group and was
accounted for using the equity method.


                                       6


Note 4. Inventories


                                               June 30            December 31
                                          ---------------------------------------
  Millions of dollars                           1999                  1998
- ---------------------------------------------------------------------------------
                                                          
  Finished products and parts             $        630          $       638
  Raw materials and supplies                       314                  250
  Work in process                                  405                  562
  Progress payments                               (126)                (148)
- ---------------------------------------------------------------------------------
     Total                                $      1,223          $     1,302
- ---------------------------------------------------------------------------------


         The cost of U.S.  manufacturing  and U.S. field service  inventories is
determined using the last-in, first-out method. If the last-in, first-out method
had not been  used,  the cost of total  inventories  would  have been about $110
million  higher than  reported at June 30, 1999,  and $111  million  higher than
reported at December 31, 1998.

Note 5.  Dresser Financial Information
         Since  becoming a  wholly-owned  subsidiary,  Dresser has ceased filing
periodic  reports  with the  Securities  and Exchange  Commission.  Dresser's 8%
senior notes remain outstanding and are fully and unconditionally  guaranteed by
Halliburton.  As long as these notes remain  outstanding,  summarized  financial
information  of Dresser will be presented in our periodic  reports filed on Form
10-K and Form 10-Q.  We have not presented  separate  financial  statements  and
other  disclosures  concerning  Dresser  because  management has determined this
information is not material to holders of these notes.
         In  January  1999,  as part of a  reorganization  associated  with  the
merger, Halliburton Delaware, Inc., a first tier holding company subsidiary, was
merged into Dresser. The majority of our operating assets and activities are now
included within Dresser Industries, Inc. and its subsidiaries.



  Dresser Industries, Inc.
  Financial Position                                  June 30         December 31
                                                   ---------------------------------
  Millions of dollars                                   1999             1998
- ------------------------------------------------------------------------------------
                                                               
  Current assets                                   $    5,320        $    2,417
  Noncurrent assets                                     5,718             2,614
- ------------------------------------------------------------------------------------
     Total                                         $   11,038        $    5,031
- ------------------------------------------------------------------------------------

  Current liabilities                              $    2,910        $    1,389
  Noncurrent liabilities                                1,896             1,544
  Minority interest                                       162               154
  Shareholders' equity                                  6,070             1,944
- ------------------------------------------------------------------------------------
     Total                                         $   11,038        $    5,031
- ------------------------------------------------------------------------------------




  Dresser Industries, Inc.                                  Three Months                       Six Months
  Operating Results                                        Ended June 30                      Ended June 30
                                                  -------------------------------------------------------------------
  Millions of dollars                                 1999               1998            1999              1998
- ---------------------------------------------------------------------------------------------------------------------
                                                                                           
  Revenues                                        $    3,670         $    2,109      $    7,594        $    4,009
- ---------------------------------------------------------------------------------------------------------------------
  Operating income                                $      154         $      198      $      311        $      355
- ---------------------------------------------------------------------------------------------------------------------
  Income before taxes and minority interest       $       79         $      180      $      215        $      320
  Income taxes                                           (31)               (65)            (87)             (115)
  Minority interest                                      (10)                (9)            (18)              (13)
  Change in accounting method                              -                  -             (19)                -
- ---------------------------------------------------------------------------------------------------------------------
  Net income                                      $       38         $      106      $       91        $      192
- ---------------------------------------------------------------------------------------------------------------------


                                       7


Note 6.  Commitments and Contingencies
         Asbestosis  Litigation.  Since  1976,  Dresser  has  been  involved  in
litigation  with people who allege that they have sustained  injuries and damage
from the inhalation of asbestos fibers.  The injuries and damages are alleged to
arise  from  products  manufactured  by  Dresser  and its  former  divisions  or
subsidiaries or companies acquired by Dresser.  Dresser has approximately 74,000
pending  claims at June 30, 1999.  Settlements,  previously  reported,  covering
approximately  12,500 claims,  are carried as pending until releases are signed.
We have an  additional  10,200  asbestos  claims  pending which have arisen as a
result of  construction  and renovation  work performed by the  Engineering  and
Construction Group segment.  During the first six months of 1999,  approximately
20,500 claims were filed and approximately  6,800 claims against us were settled
or otherwise  resolved.  The settlements  reached during the first six months of
1999 were consistent with our historical experience. Based on our experience, we
continue to believe that provisions recorded are adequate to cover the estimated
loss from asbestosis litigation.
         Dispute with Global  Industrial  Technologies,  Inc. An  agreement  was
entered  into at the time of the  spin-off  of Global  Industrial  Technologies,
Inc., formerly INDRESCO, Inc., with Dresser. Under the agreement, Global assumed
liability for all asbestos  related claims filed against  Dresser after July 31,
1992  relating to  refractory  products  manufactured  or marketed by the former
Harbison-Walker Refractories Division of Dresser. Those business operations were
transferred  to Global in the  spin-off.  These  asbestos  claims are subject to
agreements  with Dresser's  insurance  carriers that cover expense and indemnity
payments.  However,  the insurance coverage is incomplete and Global has to date
paid any uncovered portion of those asbestos claims with its own funds.
         Global now disputes that it assumed liability for any of these asbestos
claims based on Dresser's  negligence,  the acts of Harbison-Walker prior to its
merger with Dresser in 1967, or punitive damages.
         In order to resolve this dispute, Global invoked the dispute resolution
provisions of the 1992 agreement, which require binding arbitration.  Global has
not  claimed  a  specific  amount of  damages. We expect that Global's claim for
reimbursement will be in excess of $40 million.  In addition,  Global is seeking
relief from responsibility for pending claims based on Dresser's negligence, the
pre-1967 acts of Harbison-Walker,  punitive damages,  and for all similar future
claims.
         Dresser  and  Global  are  selecting  an  arbitrator.   We  expect  the
arbitration  to start in late 1999. We believe that the assertions by Global are
without merit and Dresser intends to vigorously defend against them. On February
19, 1999 Dresser filed suit in the Delaware Chancery Court seeking an injunction
to restrain the  arbitration  as being barred by the statute of  limitation.  On
July 13, 1999 the Delaware  Chancery Court  dismissed the lawsuit and found that
the Court had no  jurisdiction to hear the lawsuit.  Separately  Dresser learned
that  Global  had  threatened  to  sue  Continental  Insurance  Company,  one of
Dresser's insurers,  over insurance  proceeds.  Dresser filed a lawsuit in Texas
state court on April 9, 1999 seeking an injunction to prevent  Global from suing
Continental. The Texas court granted a temporary injunction on April 29, 1999. A
trial  date of  December  6,  1999 has been set to hear  arguments  regarding  a
permanent injunction. Global has appealed the temporary injunction. A submission
date of September 21, 1999 has been set for oral  argument  before the appellate
court.
         Environmental.  Some of our  subsidiaries  are involved as  potentially
responsible parties in remedial activities to clean up various "Superfund" sites
under federal law. Federal law imposes joint and several liability,  if the harm
is indivisible,  without regard to fault, the legality of the original disposal,
or  ownership  of the  site.  Although  it is very  difficult  to  quantify  the
potential  impact  of  compliance  with   environmental   protection  laws,  our
management  believes  that any  liability of  our  subsidiaries  for all but one
site  will not  have a  material adverse  effect on  the results  of operations.
The  Environmental  Protection  Agency has named our subsidiary  Kellogg Brown &
Root, Inc. as a potentially  responsible  party for the Jasper County  Superfund
Site.  Regarding  this site,  sufficient  information  has not been developed to
permit our management to make a liability determination. Management believes the
process of determining the nature and extent of remediation at the Jasper County
Superfund Site and the total costs will be lengthy. In addition to the Superfund
issues,  the State of Missouri has indicated that it may claim natural  resource
damage  against  the  potentially  responsible  parties  at  the  Jasper  County
Superfund  Site.  We  cannot  determine  the  extent of  Kellogg  Brown & Root's
liability,  if any, for  remediation  costs or natural  resource  damages on any
reasonably practicable basis.
         Other.  We, along with our  subsidiaries, are parties  to various other
legal proceedings.  We  believe any  liabilities we may owe will not be material
to our consolidated financial position and results of operations.


                                       8


Note 7. Income Per Share
         Basic income per share amounts are based on the weighted average number
of common  shares  outstanding  during  the  period.  Diluted  income  per share
includes  additional common shares that would have been outstanding if potential
common  shares with a dilutive  effect had been issued.  Options to purchase 3.0
million  shares of common  stock  which were  outstanding  during the six months
ended June 30, 1999 were not included in the  computation  of diluted net income
per share because the option  exercise price was greater than the average market
price of the common shares.



                                                            Three Months                       Six Months
Millions of dollars and shares                             Ended June 30                      Ended June 30
except per share data
- ---------------------------------------------------------------------------------------------------------------------
                                                      1999               1998            1999              1998
- ---------------------------------------------------------------------------------------------------------------------
                                                                                           
Income before accounting change                   $      83          $      243      $     164         $      446
- ---------------------------------------------------------------------------------------------------------------------
Basic weighted average shares                           440                 438            440                438
Effect of common stock equivalents                        4                   5              3                  5
- ---------------------------------------------------------------------------------------------------------------------
Diluted weighted average shares                         444                 443            443                443
- ---------------------------------------------------------------------------------------------------------------------




Income per common share before change in
   accounting method:
                                                                                           
   Basic                                          $     0.19         $      0.55     $     0.37        $      1.02
- ---------------------------------------------------------------------------------------------------------------------
   Diluted                                        $     0.19         $      0.55     $     0.37        $      1.01
- ---------------------------------------------------------------------------------------------------------------------


Note 8. Comprehensive Income


                                                           Three Months                      Six Months
                                                          Ended June 30                    Ended June 30
                                                   ---------------------------------------------------------------
  Millions of dollars                                 1999            1998             1999              1998
- ------------------------------------------------------------------------------------------------------------------
                                                                                         
    Net income                                     $     83       $     243        $    145          $     446
    Cumulative translation
       adjustment, net of tax                           (15)             (7)            (39)               (16)
    Minimum pension liability adjustment                  -               -              (7)                 -
- ------------------------------------------------------------------------------------------------------------------
  Total comprehensive income                       $     68       $     236        $     99          $     430
- ------------------------------------------------------------------------------------------------------------------


         The cumulative  translation  adjustment of certain foreign entities and
minimum  pension  liability   adjustment  are  the  only  comprehensive   income
adjustments recorded.
         Accumulated  other  comprehensive  income at June 30, 1999 and December
31, 1998 consisted of the following:



                                                                June 30         December 31
                                                             ----------------------------------
  Millions of dollars                                             1999              1998
- -----------------------------------------------------------------------------------------------
                                                                        
  Cumulative translation adjustment                          $     (181)      $      (142)
  Minimum pension liability                                         (14)               (7)
- -----------------------------------------------------------------------------------------------
  Total accumulated other comprehensive income               $     (195)      $      (149)
- -----------------------------------------------------------------------------------------------


Note 9.  Special Charges
         During the third and  fourth  quarters  of 1998,  we  incurred  special
charges  totaling $980 million to provide for costs  associated  with the merger
and industry  downturn due to  declining  oil and gas prices.  During the second
quarter of 1999,  we reversed  $47 million of the 1998 charge  based on the most
recent  assessment of total costs to be incurred  associated with the merger and
industry downturn.


                                       9


         The table below  includes the  components of the pretax  special charge
and the amounts utilized and adjusted through June 30, 1999.



                                            Asset                     Facility         Merger
                                           Related     Personnel    Consolidation   Transaction     Other
Millions of dollars                        Charges      Charges        Charges        Charges      Charges        Total
- ----------------------------------------------------------------------------------------------------------------------------
                                                                                              
1998 Charges to Expense by
Business Segment:
Energy Services Group                     $    453     $    157      $      93        $     -       $   18      $    721
Engineering & Construction Group                 8           19              8              -            5            40
Dresser Equipment Group                         18            1              2              -            -            21
General corporate                               30           58             23             64           23           198
- ----------------------------------------------------------------------------------------------------------------------------
Total                                          509          235            126             64           46           980
Utilized in 1998                              (442)         (45)            (3)           (60)          (4)         (554)
- ----------------------------------------------------------------------------------------------------------------------------
Balance December 31, 1998                       67          190            123              4           42           426
Utilized in 1999                               (43)        (119)           (40)            (3)          (8)         (213)
Adjustments to 1998 charges                      -          (30)           (16)            (1)           -           (47)
- ----------------------------------------------------------------------------------------------------------------------------
Balance June 30, 1999                     $     24     $     41      $      67        $     -       $   34      $    166
- ----------------------------------------------------------------------------------------------------------------------------


         We utilized $43 million of asset related  reserves during the first six
months of 1999.  Until the assets  are  disposed  of,  normal  depreciation  and
amortization will continue to be charged against our results of operations.
         The  following  summarizes  reductions of  employees,  consultants  and
contract personnel related to the 1998 special charge through June 30, 1999:
         o    1998    4,400 including 3,800 within the Energy Services Group
         o    1999    4,400 including 3,500 within the Energy Services Group
         We now estimate 10,100  personnel  reductions will occur as accrued for
in the 1998  special  charge.  Of this  amount,  1,300 have not yet taken place.
These reductions will occur in the second half of 1999 as projects are completed
and facilities are closed.  During the second quarter we reversed $30 million in
personnel  charges  primarily  due  to a  reduction  in  estimated  legal  costs
associated with employee layoffs,  lower than anticipated  average severance per
person  and  fewer  than  expected   terminations  due  to  voluntary   employee
resignations.
         Through  June 30,  1999,  we have  sold or  returned  to the  owner 145
service and administrative  facilities related to the 1998 special charge. As of
June 30, 1999, we had vacated an additional 123  properties  which we are in the
process of selling,  subleasing  or returning to the owner.  The majority of the
sold, returned or vacated properties are located within North America. Until the
properties included in the facility  consolidation  charges are vacated, we plan
to continue normal depreciation,  lease costs and operating expenses, which will
be charged against our results of operations.  The majority of these  facilities
are within the Energy Services  Group. We have scheduled these  properties to be
vacated  by the end of this  year.  Our most  recent  assessment  of  facilities
consolidation   activities   indicates  that  fewer  facilities  than  initially
estimated will be exited in conjunction  with the 1998 special charge  resulting
in an estimated $7 million  reduction in facilities  consolidation  costs.  This
revised estimate combined with other factors including more favorable exit costs
than anticipated resulted in a $16 million adjustment to facility  consolidation
charges during the second quarter.
         Halliburton and Dresser merger  transaction  costs were estimated to be
$64 million.  During the second  quarter,  we determined  that $1 million of the
estimated merger transaction costs would not be utilized,  primarily as a result
of lower  than  previously  estimated  legal and other  professional  costs.  We
included this amount in our second quarter special charge adjustments.
         During the first six months of 1999,  we  incurred  $8 million in other
special charge costs. The balance will be utilized during 1999 and possibly 2000
in connection with our  renegotiation of agency  agreements,  supplier and other
contracts and elimination of other duplicate capabilities.

Note 10. Change in Accounting Method
         In April 1998, the American  Institute of Certified Public  Accountants
issued   Statement  of  Position  98-5  "Reporting  on  the  Costs  of  Start-Up
Activities."   This  Statement   requires  costs  of  start-up   activities  and
organization costs to be expensed as incurred.  We adopted Statement of Position
98-5 effective January 1, 1999 and recorded expense of $30 million pretax or $19


                                       10


million after tax or $0.04 per diluted share.  These costs,  which relate to the
Energy  Services Group  segment,  were  recognized  for  previously  capitalized
business  mobilization  costs and facility  start-up costs associated with a new
manufacturing facility in the U.K.

Note 11. Investment in Bufete
         Kellogg Brown & Root,  Inc., a subsidiary  within the  Engineering  and
Construction  Group, has a net investment of $26 million in Bufete  Industriale,
S.A. de C.V., a large firm in Mexico  specializing in  engineering,  procurement
and  construction.  This  investment  is accounted for using the cost method and
reported  on the  "Equity  in and  advances  to related  companies"  line of our
consolidated balance sheets.  Bufete's financial condition deteriorated in 1999.
On July 13, 1999, Bufete announced it would default on $100 million in Eurobonds
due July 15, 1999. We believe our investment is impaired and consequently  wrote
off the entire amount in the second  quarter of 1999. The expense for Bufete was
reported  on the  "Other  nonoperating,  net"  line of the  consolidated  income
statement.

Item 2. Management's Discussion  and Analysis of Financial Condition and Results
        of Operations

         In this section, we discuss the operating results and general financial
         condition of Halliburton and its subsidiaries. We explain:
         o  what factors impact our business;
         o  why our earnings  and expenses for the second quarter of 1999 differ
            from the second  quarter of last year;
         o  why our earnings and expenses in January through June of 1999 differ
            from the same period in 1998;
         o  what our capital expenditures were;
         o  what our ending cash balance was; and
         o  any other items that  materially  affect our financial condition  or
            earnings.

FORWARD-LOOKING INFORMATION
         As  provided by the safe harbor  provisions  of the Private  Securities
Litigation  Reform  Act of 1995,  we  caution  that  forward-looking  statements
involve  risks  and  uncertainties   that  may  impact  our  actual  results  of
operations.  Statements  in this  quarterly  report  and  elsewhere,  which  are
forward-looking  and which provide other than  historical  information,  involve
those risks and uncertainties. Our forward-looking information reflects our best
judgement based on current  information.  However,  forward-looking  information
involves a number of risks and  uncertainties and there can be no assurance that
other factors will not affect the accuracy of our  forward-looking  information.
While it is not possible to identify all factors, we continue to face many risks
and  uncertainties  that  could  cause  actual  results  to  differ  from  those
forward-looking statements including:
         o  litigation,   including,  for  example,  asbestosis  litigation  and
            environmental  litigation;
         o  trade restrictions and  economic embargoes  imposed  by  the  United
            States and other countries;
         o  environmental   laws,   including   those   that   require  emission
            performance standards for new and existing  facilities;
         o  unsettled political conditions, war, civil unrest, currency controls
            and governmental  actions in  the numerous  countries  in  which  we
            operate;
         o  operations in countries with significant  amounts of political risk,
            for example, Russia, Algeria and Nigeria;
         o  the  effects of severe weather conditions,  including hurricanes and
            tornadoes, on operations and facilities;
         o  the  impact of  prolonged mild  weather conditions on the demand for
            and price of oil and natural gas;
         o  the magnitude  of governmental  spending for military and logistical
            support of the type that we  provide;
         o  changes in capital spending by customers in the hydrocarbon industry
            for exploration,  development, production, processing, refining, and
            pipeline delivery networks;
         o  changes  in  capital  spending  by  governments  for  infrastructure
            projects of the sort that we perform;
         o  changes in capital spending by customers in the wood pulp and  paper
            industries for plants and equipment;
         o  consolidation of customers in the oil and gas industry;
         o  technological and  structural  changes  in the  industries  that  we
            serve;
         o  changes in the price of oil and natural gas;
         o  changes in the price of commodity chemicals that we use;


                                       11


         o  risks  that  result  from  entering  into   fixed  fee  engineering,
            procurement and  construction projects of  the types that we provide
            where failure  to meet  schedules,  cost  estimates  or  performance
            targets could  result in  non-reimbursable  costs  which  cause  the
            project not to meet expected profit margins;
         o  claim  negotiations  with  customers  on  cost  variances  on  major
            projects;
         o  computer software,  hardware and  other equipment utilizing computer
            technology   used  by   governmental  entities,  service  providers,
            vendors,  customers  and  Halliburton  which  may be impacted by the
            Y2K issue;
         o  the risk  inherent in the use  of derivative instruments of the sort
            that we use which could cause a  change in  value of the  derivative
            instruments as a result of adverse  movements  in  foreign  exchange
            rates;
         o  increased  competition  in the hiring  and retention of employees in
            competitive   areas,  for  example,  accounting,  treasury  and  Y2K
            remediation; and
         o  integration of acquired  businesses, including  Dresser  Industries,
            Inc. and its subsidiaries, into Halliburton.
         In  addition,  future   trends  for   pricing,  margins,  revenues  and
profitability  remain difficult to predict in the industries that we serve.

BUSINESS ENVIRONMENT
         We operate in over 120 countries  around the world to provide a variety
of energy services,  energy equipment and engineering and construction  services
to energy, industrial  and governmental  customers. The industries  we serve are
highly  competitive  with  many  substantial  competitors.  Unsettled  political
conditions,  expropriation or other governmental actions,  exchange controls and
currency  devaluations may affect  operations in some countries.  We believe the
geographic diversification of our business activities reduces the risk that loss
of operations in any one country would be material to our  consolidated  results
of operations.
         The  majority of our revenues are derived from the sale of services and
products,  including construction activities, to the energy industry. We offer a
comprehensive  range of integrated and discrete services and products as well as
project management for oil and natural gas activities throughout the world.
         Declines in energy  industry  activities that started in 1998 continued
into the second quarter of 1999,  particularly  in the areas of exploration  and
development of hydrocarbons. The average worldwide rotary rig count in the first
half of 1999 was 34% lower  than in the first  half of 1998.  The  average  U.S.
rotary  rig count in the first  quarter  of 1999 was 43% lower  compared  to the
first  quarter of 1998 and this  decline  continued  into the second  quarter of
1999. The average U.S. rotary rig count in the second quarter of 1999 was nearly
40% lower than the second  quarter  of 1998.  These  declines  in  activity  and
reduced capital  spending by our customers  negatively  impacted our results for
the first half of 1999, particularly within the Energy Services Group segment.
         The downstream  portion of the oil and gas business is serviced by both
the Engineering and  Construction  Group and the Dresser  Equipment  Group.  The
downturn in activity in the first quarter of 1999 did not affect these  segments
as  severely  as the  Energy  Services  Group due to the longer  term  nature of
projects and continuing maintenance requirements. In the second quarter of 1999,
however,  the  effects of project  delays and  deferral  of new awards  began to
negatively  impact the  Engineering  and  Construction  Group.  The deferrals of
projects  and lack of new awards are  expected to affect the segment  during the
remainder of the year due to the long-term nature of most projects.  The Dresser
Equipment  Group  also  experienced  a  decline  in  activity  due  to  industry
conditions  and faces  increased  competition  for a reduced  level of available
business.
         Other  major  changes  in the energy  industry  include  the  announced
mergers  of  several  major oil  companies  that have  further  delayed  capital
spending programs by these companies. We have seen some effects of these mergers
in the  first half  of 1999  result  in  delayed  projects  and  reduced  use of
software products.  Longer-term  effects will depend on the spending patterns of
our customers.
         We still believe:
         o  the long-term fundamentals of the energy industry are positive,
         o  steadily  rising population  and  greater  industrialization efforts
            will  continue to  propel global growth, particularly  in developing
            nations, and
         o  these factors  will cause  increasing demand for oil and natural gas
            to produce refined products, petrochemicals, fertilizers and power.
         We are encouraged about the remainder of this year, given:
         o  the recent strengthening of oil and gas prices,
         o  a 20%  increase in the U.S. rotary rig count from its April low, and


                                       12


         o  continuing increases in the level of customer inquiries.
We look  forward to a recovery in 2000 after our  customers  approve new capital
budgets.

RESULTS OF OPERATIONS - 1999 COMPARED TO 1998

Second Quarter of 1999 Compared with the Second Quarter of 1998



REVENUES                                                        Second Quarter             Increase
                                                        -------------------------------
Millions of dollars                                          1999            1998         (decrease)
- --------------------------------------------------------------------------------------------------------
                                                                                 
Energy Services Group                                   $    1,681       $    2,381       $    (700)
Engineering and Construction Group                           1,372            1,438             (66)
Dresser Equipment Group                                        617              766            (149)
- --------------------------------------------------------------------------------------------------------
   Total revenues                                        $   3,670       $    4,585       $    (915)
- --------------------------------------------------------------------------------------------------------


         Consolidated  revenues  decreased  20% to $3,670  million in the second
quarter of 1999  compared  with $4,585  million in the same quarter of the prior
year.  International  revenues for the second  quarter of 1999 were 70% of total
revenue, up from 64% in the second quarter of 1998.
         Energy  Services  Group  revenues  were  $1,681  million for the second
quarter of 1999  reflecting  a 29%  decrease  from the same quarter of the prior
year,  while drilling  activity,  as measured by the worldwide rotary rig count,
decreased 33%.  International  revenues were 73% of total Energy  Services Group
revenues for the quarter, compared to 68% for the prior year quarter. The Energy
Services  Group  includes  Halliburton  Energy  Services,  Brown  & Root  Energy
Services and Landmark Graphics Corporation.
         Revenues  for all  product  service  lines  within  Halliburton  Energy
Services  were  25-35%  lower  compared to the prior year  quarter.  Halliburton
Energy  Services'  U.S.  revenues  were down 45% versus a  decrease  in the U.S.
average  rotary  rig  count  of  nearly  40%.   Halliburton   Energy   Services'
international  revenues were down 27%, which  approximated the related rig count
reduction.  As in the first  quarter of 1999,  the largest  declines in revenues
were in North  America and Latin  America with  revenues  decreasing  by 35-40%.
Declines in revenue  reflect  reduced unit volume levels and  continued  pricing
pressures, particularly in North America.
         Brown & Root Energy  Services,  which  operates in the upstream oil and
gas engineering and construction services,  experienced a decline in revenues of
18% from the same period of the prior year.  The decrease  reflects the industry
downturn  in  activity  caused  by  low  oil  prices.  Reduced  activity  levels
particularly  impacted  the U.K.  sector of the North  Sea.  However,  increased
activity in Asia Pacific partially offset the decline in the North Sea.
         Revenues from  Landmark,  which  provides  integrated  exploration  and
production information systems,  decreased 25% compared to the second quarter of
1998.  Decreases  in  software  and  hardware  sales  were  partially  offset by
increased  customer  service and  maintenance  revenues.  Many customers for our
information system product lines have put off software purchases due to customer
mergers and lower activity levels.
         Engineering  and  Construction  Group  revenues  decreased  slightly to
$1,372  million in the second  quarter of 1999 compared to $1,438 million in the
same quarter of the prior year. The Engineering and  Construction  Group is made
up of Kellogg  Brown & Root and Brown & Root  Services.  International  revenues
were 68% of total  revenues  for the group,  compared  to 61% for the prior year
second quarter.
         Higher revenues from  activities at the Devonport  Dockyard in the U.K.
and from the contract to provide  logistical  support services to U.S.  military
peacekeeping  efforts in the Balkans  partially  offset  revenue  declines  from
industrial customers due to project delays.
         Dresser  Equipment Group revenues  decreased nearly 20% to $617 million
for the second  quarter of 1999,  as  compared  to $766  million  for the second
quarter of 1998.  International  revenues  were 64% of total  Dresser  Equipment
Group revenues. Revenues declined in all product lines reflecting lower spending
by customers due to market conditions. Revenues from the compression and pumping
line were lower by about 25-30%.  Lower  complete unit  shipments of compression
and  pumping  products  were  partially  offset by  increased  product  services
volumes.  Revenues from the  measurement  product line were lower by 10-15% from
the prior year second quarter. Flow control and power systems combined had about
10% lower revenues.


                                       13




OPERATING INCOME                                                Second Quarter             Increase
                                                        -------------------------------
Millions of dollars                                          1999            1998         (decrease)
- --------------------------------------------------------------------------------------------------------
                                                                                
Energy Services Group                                    $      49       $      304      $     (255)
Engineering and Construction Group                              64               74             (10)
Dresser Equipment Group                                         53               77             (24)
Special charge credits                                          47                -              47
General corporate                                              (17)             (19)              2
- --------------------------------------------------------------------------------------------------------
  Operating income                                       $     196       $      436      $     (240)
- --------------------------------------------------------------------------------------- ----------------


         Consolidated  operating  income for the second  quarter of 1999 of $196
million declined 55% compared with $436 million in the same quarter of the prior
year.
         Energy Services Group operating  income decreased 84% to $49 million in
the second quarter of 1999 compared with $304 million in the same quarter of the
prior  year.  The  operating  margin  for the  second  quarter of 1999 was 2.9%,
compared to the prior year second quarter operating margin of 12.8%.
         In  spite  of  aggressive  cost  reduction  efforts  to  reduce  excess
personnel and facilities,  Halliburton Energy Services operating income was down
87%.  Lower  activity  and higher  discounts  reduced  operating  income for all
Halliburton  Energy  Services' product  service  lines.  Decreased  margins  for
Halliburton  Energy  Services  were caused by the lowest rig count since 1944 in
the U.S. and decreased  activity levels outside the U.S. Lower rig counts led to
excess capacity in the oil field services sector. This excess capacity continued
through  the second  quarter  especially  within the U.S. As a result of pricing
pressures,  Halliburton Energy Services' average discounts in the U.S. increased
six to eight  percentage  points  over the second  quarter of 1998 when  pricing
first started to soften. In spite of pricing pressures and increased discounting
in the U.S., all product  service lines except logging and drilling were able to
maintain positive operating income in the second quarter of 1999.
         Operating  income  and  margins  from  Brown  & Root  Energy  Services'
upstream oil and gas engineering and construction  activities  declined 65% from
the prior year second quarter.  The major factors  contributing to this decrease
were lower activity  levels and  performance  issues related to two  technically
difficult projects on which losses of $23 million were recorded.
         Landmark  experienced a small loss for the quarter. The loss was caused
by declines in  software  sales  volumes  and  severance  payments to  employees
terminated due to industry conditions.
         Engineering and  Construction  Group operating  income decreased 14% to
$64 million in the second  quarter of 1999 compared to $74 million in the second
quarter of the prior year.  Operating margins were 4.7% in the second quarter of
1999 compared to 5.1% in the prior year second  quarter.  Included in the second
quarter  of 1998 was the  settlement  on a  Middle  East  construction  project.
Excluding  this  settlement  in 1998,  margins for the current  year of 4.7% are
higher than the prior year's margins of 4.1%.
         The second quarter benefited from higher activity related to supporting
U.S. military peacekeeping efforts in the Balkans and income recognition on U.K.
toll road projects.
         Dresser Equipment Group operating income for the second quarter was $53
million,  a decrease of 31% from the prior year second  quarter of $77  million.
All product  lines  experienced  a decrease in operating  income  primarily as a
result of lower activity levels and increased discounting in some product lines.
         Special  charge  credits of $47  million  are the result of a change in
estimate to the 1998 merger special  charges for the  acquisition of Dresser and
industry  downturns  recorded in 1998. We have been  monitoring the actual costs
incurred  and have  re-examined  our  estimates of future  costs.  In the second
quarter of 1999, we concluded that these costs,  particularly  for severance and
facility  exit  costs,  were lower  than  previously  estimated.  Therefore,  we
reversed a portion of the $980 million that was originally recorded.
         General corporate expenses were lower by $2 million from the prior year
second  quarter.  The  reduction  of  expense  is the  result of  combining  two
corporate offices into one office.

NONOPERATING ITEMS
         Interest  expense  increased by $3 million to $34 million in the second
quarter of 1999  compared to the same quarter of the prior year due primarily to
increased  short-term  borrowings and additional  long-term borrowings under our
medium-term  note program.  The increased  borrowings  were used to fund working


                                       14


capital requirements and special charge costs, including, severance and property
exit costs.
         Interest income in the second quarter of 1999 decreased  slightly to $6
million from $7 million in the second quarter of 1998.
         Foreign  currency gains (losses), net was a net $4 million gain for the
second quarter of  1999. This  net gain  compares to a net loss of $2 million in
the  same  period  of  1998.  The  gain  in  1999  is  primarily attributable to
devaluation of the Euro.
         Other  nonoperating, net  in the second  quarter of 1999 includes a $26
million charge  for the write-off  of our  net investment in Bufete Industriale,
S.A.  de  C.V., a  large  specialty  engineering, procurement  and  construction
company  in  Mexico.  See  Note  11  to  the  condensed  consolidated  financial
statements for additional information on Bufete.
         The effective  income tax rate  excluding  special  charge  credits was
about 39% for the  second  quarter  of 1999,  as  compared  to about 37% for the
second  quarter of 1998.  The rate for the  quarter  was  adversely  affected by
foreign  income taxes and is expected to range  between 38% and 40% for the year
of 1999, excluding the special charge credits.
         Net income was $83 million,  or 19 cents per diluted  share, a decrease
of 66% from net income of $243  million,  or 55 cents per  diluted  share in the
second quarter of 1998.

First Six Months of 1999 Compared with the First Six Months of 1998



REVENUES                                                       First Six Months            Increase
                                                        -------------------------------
Millions of dollars                                          1999            1998         (decrease)
- --------------------------------------------------------------------------------------------------------
                                                                                 
Energy Services Group                                   $    3,434       $    4,666       $  (1,232)
Engineering and Construction Group                           2,880            2,785              95
Dresser Equipment Group                                      1,280            1,389            (109)
- --------------------------------------------------------------------------------------------------------
   Total revenues                                        $   7,594       $    8,840       $  (1,246)
- --------------------------------------------------------------------------------------------------------


         Consolidated  revenues decreased 14% to $7,594 million in the first six
months of 1999 compared with $8,840 million in the first six months of the prior
year.  International revenues for the first six months of 1999 were 69% of total
revenue,  compared to 65% of total  revenue in 1998.  Only the  Engineering  and
Construction  Group had higher revenues in the first six months of 1999 compared
to 1998.
         Energy  Services  Group  revenues were $3,434 million for the first six
months of 1999, reflecting a 26% decrease from the first six months of the prior
year,  while  drilling  activity as measured by the  worldwide  rotary rig count
decreased 34%.  International  revenues were 72%  of total Energy Services Group
revenues  for the first six months  compared to 69% for the prior year first six
months.
         Revenues for all Halliburton Energy Services product service lines were
lower than the prior  year.  The  largest  declines  in  revenues  were in North
America  and Latin  America  with  revenues  decreasing  about 37%.  Declines in
revenue  reflect  reduced unit volume  levels and continued  pricing  pressures,
particularly in North America.  Halliburton  Energy Services' U.S. revenues were
about 40% lower than in the first six months of 1998,  which is consistent  with
the  reduction  in the  average  rotary  rig count in the U.S.  during  the same
period.  Halliburton Energy Services'  international  revenues were 25% lower in
1999 than in the first half of 1998. The international  average rotary rig count
for the same time period was 28% lower. The completion  product service line had
the smallest percentage decline in revenues of about 20% for the first six-month
period of 1999 compared to 1998. Other product service lines within  Halliburton
Energy Services  experienced a 28-33% decrease from the same period in the prior
year.
         Revenues  from  Brown  & Root  Energy  Services'  upstream  oil and gas
engineering and construction  services decreased 18% from the same period of the
prior year  reflecting  the  industry  downturn  in  activity  caused by low oil
prices.  Reduced  activity levels  particularly  impacted the U.K. sector of the
North Sea.  Revenues from projects in North America and Asia/Pacific were higher
than in the prior year.
         Revenues  from   Landmark's   integrated   exploration  and  production
information  systems  decreased  19%  compared  to the first six months of 1998.
Decreases  in software  and hardware  sales were  partially  offset by increased
customer  service  revenues.  Many customers for our information  system product
lines have put off software  purchases due to lower  activity  levels.  Customer
mergers have also resulted in purchase delays.


                                       15


         Engineering  and  Construction  Group total  revenues  increased  3% to
$2,880 million in the first six months of 1999 compared to $2,785 million in the
first  six  months  of  the  prior  year.   International   revenues   increased
approximately 20%.
         Revenues  from Kellogg Brown & Root were flat in the first half of 1999
compared to 1998.  Europe/Africa  was the most active region with major projects
in Algeria, Norway and Nigeria.
         Brown & Root Services revenues for the first six months of 1999 were up
15%  over  the  prior  year.  The  increase  in  revenues  was due to  increased
activities  at the  Devonport  Dockyard in the U.K. and from  logistics  support
services to military peacekeeping efforts in the Balkans.
         Dresser Equipment Group revenues decreased 8% to $1,280 million for the
first six months of 1999 as compared to $1,389  million for the first six months
of 1998.  Revenues  declined  in all product  lines  reflecting  reduced demand.
The  compression   and  pumping   product  line   had  approximately   5%  lower
revenues due to lower  complete  unit sales.  The lower volume on complete  unit
sales was partially offset by increased product service volume.  The measurement
product  line's  revenues  were about 14% lower than the prior year due to lower
spending levels and delayed maintenance  spending by multinational oil companies
and other  customers.  Revenues from flow control products were down 7% compared
to 1998  due to low  upstream and  downstream  activity levels.  Power  systems'
revenues were  10% lower than  the first  six months  of 1998.  The decrease  in
power  systems'  revenues  was  due  to  reductions  in  the  original equipment
and  aftermarket  sales  related to  lower gas  production,  higher  gas storage
levels and decreased equipment utilization.



OPERATING INCOME                                               First Six Months            Increase
                                                        -------------------------------
Millions of dollars                                          1999            1998         (decrease)
- --------------------------------------------------------------------------------------------------------
                                                                                
Energy Services Group                                    $     106       $      587      $     (481)
Engineering and Construction Group                             122              133             (11)
Dresser Equipment Group                                        107              116              (9)
Special charge credits                                          47                -              47
General corporate                                              (34)             (39)              5
- --------------------------------------------------------------------------------------------------------
  Operating income                                       $     348       $      797      $     (449)
- --------------------------------------------------------------------------------------------------------


         Consolidated  operating income for the first six months of 1999 of $348
million  declined 56% compared  with $797 million in the first six months of the
prior year.
         Energy Services Group operating income decreased 82% to $106 million in
the first six months of 1999  compared with $587 million in the first six months
of the prior  year.  The  operating  margin for the first six months of 1999 was
3.1% compared to the prior year's first six months operating margin of 12.6%.
         In spite  of  significant  cost  reduction  efforts  to  reduce  excess
personnel  and  consolidate  facilities,  operating  income for all  Halliburton
Energy Services product service lines was  significantly  lower in the first six
months of 1999 due to lower activity and higher discounts.  Overall, Halliburton
Energy  Services'  operating  income  declined  82% from the first half of 1998.
Except for logging and  drilling,  all product  service  lines  earned  positive
operating income in a very difficult environment.
         Operating  income from Brown & Root Energy  Services'  upstream oil and
gas engineering and construction  activities declined 77% due to lower levels of
business  activity and lower  manufacturing  activities  which carry large fixed
costs. Major project losses of $27 million were recorded in the first six months
of 1999 on two technically  difficult  projects.  In addition,  the prior year's
first six months benefited from about $40 million of project incentives. Brown &
Root Energy Services continues to address challenges on some fixed fee contracts
for which we recorded losses in the fourth quarter of 1998.  Claims  discussions
with  customers  should bring these jobs to resolution in the second half of the
year.
         Landmark experienced a small loss for the first six months of 1999. The
loss was caused by lower  software  sales  volumes  and  severance  payments  to
employees terminated due to industry conditions.
         Engineering and  Construction  Group operating  income  decreased 8% to
$122  million in the first six months of 1999  compared  to $133  million in the
first six months of the prior year. Operating margins were 4.2% in the first six
months of 1999 compared to 4.8% in the prior year first six months.  Included in
the first six months of 1998 was the  settlement  on a Middle East  construction
project.  Excluding  this  settlement in 1998,  margins for 1999 of 4.2% are the
same as the prior year's first six months.


                                       16


         Dresser  Equipment Group  operating  income for the first six months of
1999 was $107  million,  a decrease of 8% from the prior year's first six months
of $116 million.  Cost reduction  initiatives  allowed us to maintain  operating
margins  at about 8.4% in the first six months of both 1999 and 1998 in spite of
lower sales volumes in 1999.
         Special  charge  credits  are the result of a change in estimate to the
1998  merger  special  charges  for the  acquisition  of  Dresser  and  industry
downturns.   We  have  been  monitoring  the  actual  costs  incurred  and  have
re-examined  our  estimates of future costs.  In the second  quarter of 1999, we
concluded that these costs,  particularly for severance and facility exit costs,
were  lower  than  previously  estimated.  Therefore, we reversed $47 million of
the $980 million that was originally recorded.
         General  corporate  expenses  were lower by $5  million  from the prior
year's first six months. The reduction of expense is the result of combining two
corporate offices into one office.

NONOPERATING ITEMS
         Interest  expense  increased  to $70 million in the first six months of
1999  compared  to $61  million  in the first six  months of the prior  year due
primarily to increased short-term borrowings and additional long-term borrowings
under our medium-term note program.  The increased  borrowings were used to fund
working  capital  requirements  and special  charge costs, including,  severance
and property exit costs.
         Interest  income  in the  first six  months  of 1999  increased  to $38
million  from $14  million  in the first six  months of 1998.  The  increase  in
interest  income  was due  primarily  to  imputed  interest  income  on the note
receivable  from  the  sale of our interest in M-I L.L.C. and interest earned on
settlement of income tax issues in the U.S. and U.K.
         Other nonoperating,  net in the first six months of 1999 includes a $26
million  charge for the write-off of our net  investment in Bufete  Industriale,
S.A.  de C.V.,  a large  specialty  engineering,  procurement  and  construction
company  in  Mexico.  See  Note  11  to  the  condensed  consolidated  financial
statements for additional information on Bufete.
         The effective  income tax rate  excluding  special  charge  credits was
about 39.5% for the first six months of 1999 compared to 37.6% for the first six
months of 1998.  The rate for the first six months  was  adversely  affected  by
foreign  income taxes and is expected to range  between 38% and 40% for the year
of 1999, excluding the special charge credits.
         Cumulative  effect of change in accounting  method of $19 million after
tax or 4 cents per diluted share  reflects our adoption of Statement of Position
98-5.  Estimated  annual expense for 1999 under Statement of Position 98-5 after
recording the  cumulative  effect of the change is not expected to be materially
different from amounts expensed under the prior accounting  treatment.  See Note
10  to  the  condensed   consolidated   financial   statements   for  additional
information.

LIQUIDITY AND CAPITAL RESOURCES
         We ended the second  quarter of 1999 with cash and  equivalents of $336
million, an increase of $133 million from the end of 1998.  Beginning in 1998 we
changed Dresser's fiscal year-end to Halliburton's calendar year-end.  Dresser's
cash flows in 1998 are measured  from  December  31, 1997,  rather than from the
October 31, 1997 balances as reported on the consolidated  balance sheets in our
1998 Annual Report.
         Operating  activities.  Cash flows from  operating  activities  used $7
million in the first six months of 1999, as compared to $144 million provided by
operating  activities in the first six months of 1998.  Working  capital  items,
which consists of receivables,  inventories,  accounts payable and other working
capital,  net, used $201 million in the current year compared to $507 million in
the prior year period. In 1999 working capital  requirements were lower than the
prior year due to lower levels of business activity.  Other, net, which includes
noncurrent  assets and  liabilities,  used $161 million of operating cash in the
first six months of 1999.  Included  in these  changes to  working  capital  and
other,  net, are cash  outflows for special  charges for  personnel  reductions,
facility  closures  and  integration  costs which  required  approximately  $168
million of cash in the first six months of the current year.
         Investing  activities.  Capital  expenditures were $267 million for the
first six months of 1999,  a decrease  of 43% from the same  period of the prior
year. The decrease in capital spending  primarily reflects the current operating
environment.  Capital spending was mostly for equipment and  infrastructure  for
the Energy  Services  Group.  We also  continued our planned  investments in our
enterprise-wide   information  system.  Cash  flows  from  investing  activities
includes  $254 million of the $265 million  receivable  from the sale of our 36%
interest in M-I L.L.C. that was collected in the second quarter of 1999. Imputed
interest on this receivable of $11 million is included in operating cash flows.
         Financing  activities.  Cash flows from financing  activities  were $31
million in the first six months of 1999  compared  to $244  million in the first
six months of 1998. We borrowed $119 million,  net of repayments,  in short-term
funds  consisting of commercial  paper and bank loans in the first six months of
1999. In the same period of 1998, we borrowed $370 million in short-term  funds,
net of repayments,  consisting of commercial paper and bank loans. Proceeds from


                                       17


exercises of stock  options  provided cash flows of $33 million in the first six
months of 1999 compared to $40 million in the same period of the prior year.
         We  believe  we have  sufficient  borrowing  capacity  to fund our cash
needs.  As of June 1999, we have committed  short-term  lines of credit totaling
$650 million  available  and unused,  an increase of $100 million from the prior
quarter.  We also have other short-term lines totaling $315 million.  There were
no borrowings outstanding under any of these facilities. Our combined short-term
notes payable and long-term debt was 33.4% of total  capitalization  at June 30,
1999 compared to 32.4% at December 31, 1998.

FINANCIAL INSTRUMENT MARKET RISK
         We are exposed to market risk from changes in foreign currency exchange
rates, and to a lesser extent,  to changes in interest rates. To mitigate market
risk, we selectively  hedged our foreign  currency  exposure  through the use of
currency derivative instruments. The objective of our  hedging is to protect our
cash flows related to sales or purchases of goods or services from  fluctuations
in currency rates. The use of derivative instruments include the following types
of market risk:
         o  volatility of the currency rates,
         o  tenor or time horizon of the derivative instruments,
         o  market cycles, and
         o  the type of derivative instruments used.
We do not use derivative instruments for trading purposes.
         We use a statistical  model to estimate the  potential  loss related to
derivative  instruments  used to hedge the market risk of its  foreign  exchange
exposure.  The model  utilizes  historical  price  and  volatility  patterns  to
estimate  the change in value of the  derivative  instruments.  Changes in value
could occur from  adverse  movements in foreign  exchange  rates for a specified
time period at a specified  confidence  interval.  The model is an undiversified
calculation based on the variance-covariance  statistical modeling technique and
includes all foreign  exchange  derivative  instruments  outstanding at June 30,
1999. The resulting value at risk of $2 million estimates, with a 95% confidence
interval,  the  potential  loss we could incur in a one-day  period from foreign
exchange derivative instruments due to adverse foreign exchange rate changes.
         Our  interest  rate  exposures  at June 30,  1999  were not  materially
changed from December 31, 1998.

RESTRUCTURING ACTIVITIES
         During  the third  and  fourth  quarters  of 1998 we  incurred  special
charges  totaling  $980  million  related to the  Dresser  merger  and  industry
downturn. The charges included amounts for asset,  personnel,  facility,  merger
transaction and other related charges.  The 1998 special charges include actions
necessary  to more  efficiently  meet the needs of our  customers,  to eliminate
duplicate  capabilities  and excess  capacity and to position us for the future.
These actions were also taken to integrate  our  operations  into three business
segments, supported by a shared services organization across the entire company.
         All business segments,  shared services and corporate offices have been
impacted since the Dresser merger by the restructuring activities, including:
         o  integration of two corporate offices,
         o  integration   of  operational  and   shared  services  officers  and
            management teams,
         o  personnel  reductions necessary  to match the new business structure
            and industry environment,
         o  integration of businesses and product service lines, including:
            -  Halliburton Energy Services' drilling operations into Sperry-Sun,
            -  Dresser  Oil Tools  into Halliburton  Energy Services  completion
               products,
            -  SubSea,  Rockwater  and  Wellstream  within  Brown  & Root Energy
               Services, and
            -  M.W. Kellogg  and Brown & Root  Engineering and Construction into
               Kellogg Brown & Root,
         o  integration  of  facilities  across  business  units  and the entire
            company,
         o  impairments or write-offs of intangible assets and software,
         o  impairments  or   write-offs  of  excess   or  duplicate  machinery,
            equipment, and inventory, and
         o  integration of shared service support functions.
         We believe the management  and employees  have remained  focused on the
needs of our customers during this transitional  period,  although  transitional
demands have required considerable amounts of time, energy and resources. At the
time of the merger,  our senior  management  was named.  Operational  and shared
service managers were named quickly thereafter. By the end of the second quarter
of 1999, merger integration activities were substantially complete.


                                       18


         We expect most restructuring activities accrued for in the 1998 special
charges to be completed  and  expended by the end of 1999.  The  exceptions  are
reserves for losses on the disposal of facilities held for sale and any actions,
which may require  negotiations  with outside parties  extending past the end of
the  year.  Through  June 30,  1999,  we used  $278  million  in cash for  items
associated  with the 1998  special  charges.  We  estimate  that the  unutilized
special  charge  reserve  balance at June 30,  1999 will  result in future  cash
outlays of  approximately  $130 million over the  remainder of 1999 and possibly
into 2000.
         During  the  second  quarter  of 1999,  we  concluded  that  the  total
estimated costs of items included in the special charges, particularly severance
and facility  exit costs, were lower  than previously  estimated.  Therefore, we
reversed $47 million of the 1998 special charges.
         We  have in  process  a  program  to exit  approximately  500  service,
administrative and manufacturing facilities, including approximately 400 accrued
for in the 1998 special charges.  Most of these properties are within the Energy
Services Group.
         Since  July  1998,  approximately  16,200  employees,  consultants  and
contract  personnel  have  left  Halliburton,   while  approximately  4,100  new
personnel  have been  hired,  resulting  in net total  personnel  reductions  of
approximately 12,100 through June 30, 1999. A majority of the new personnel were
related to projects, the largest being expansion of the contract to support U.S.
military  peacekeeping  activities  in the Balkans.  Approximately  8,800 of the
total  personnel  reductions  through the second  quarter of 1999 are associated
with the special charge.
         We feel the benefits of the Dresser merger and restructuring activities
are  evidenced  by our  ability  to  profitably  operate in spite of oil and gas
industry conditions that have existed since the second half of 1998. As a result
of the initiatives  discussed above, we feel we will ultimately reduce our costs
by an estimated $500  million  on an  annual  basis.  We are accomplishing these
reductions  primarily  through  reduced  personnel  and  facility  requirements,
enhanced  technologies  and the  efficiencies  of common  shared  services,  for
example, procurement, treasury, legal, tax, and accounting.
         See  Note 9 to the  condensed  consolidated  financial  statements  for
information on accrued special charges incurred in 1998.

OTHER MERGER RELATED ACTIVITIES
         We  expect  to  incur  total  merger  related   incremental   costs  of
approximately  $125  million  that do not  qualify  as  special  charges.  These
expenses  include  $24  million  incurred  in the  fourth  quarter  of 1998  and
approximately  $42 million  incurred during the first six months of 1999.  These
costs include:
         o  additional reductions in personnel;
         o  additional disposal of properties;
         o  relocating  personnel,  inventory  and equipment as part of facility
            consolidation efforts;
         o  implementing   a   company-wide    common   information   technology
            infrastructure;
         o  merging engineering work practices;
         o  harmonizing employee benefit programs; and
         o  developing common policies and procedures to provide best practices.
         During the second quarter of 1999, both Halliburton Energy Services and
Landmark made additional reductions in personnel outside the 1998 special charge
plan.

YEAR 2000 ISSUES
         The Year  2000 or Y2K  issue is the risk  that  systems,  products  and
equipment  utilizing  date-sensitive  software or computer  chips with two-digit
date fields will fail to properly  recognize the Year 2000.  The Year 2000 issue
is a problem for most  companies due to the  pervasive use of computer  systems.
Failures by our software and hardware or that of  government  entities,  service
providers, suppliers and customers could result in interruptions of our business
which could have a material adverse impact on the results of our operations.
         Failure to address Year 2000 issues could result in business disruption
that could materially affect our operations.  In an effort to minimize potential
business  interruptions  we  continue  to  develop  and  refine  our  Year  2000
contingency plans. Halliburton's Year 2000 program is designed to:
         o  prevent or minimize the occurrence of Year 2000 problems, and
         o  limit Halliburton's exposure to potential third party legal actions
            to the extent reasonably possible.
         Our Year 2000 program.  In  response  to the  Year 2000  issue  we have
implemented an enterprise-wide Year 2000 program. The program was expanded after
the  merger to  include  Dresser,  which  had a similar program.  The program is


                                       19


designed to identify, assess and address significant Year 2000 issues in our key
business operations, including among other things:
         o  products;
         o  services;
         o  suppliers;
         o  business applications;
         o  engineering applications;
         o  information technology systems;
         o  non-information  technology  systems  including  systems embedded in
            delivery  tools and  devices  and  in  equipment  that  controls  or
            monitors other systems;
         o  facilities;
         o  infrastructure; and
         o  joint venture projects.
         Systems. We operate in over 120 countries worldwide,  and in over 1,000
locations  including  offices,  manufacturing  facilities,  warehouses and field
camps.  We maintain a Year 2000 database of over 15,000  individual  information
technology and non-information  technology systems.  Non-information  technology
items tracked in the database include systems embedded in tools and devices used
to deliver our  services,  and in  equipment  that  controls  or monitors  other
systems. We believe that approximately 90 out of the more than 15,000 systems in
our database are significant  based upon  discussions with managers and our wide
use of the systems.  These  significant  systems are all being addressed through
our Year 2000 program.
         Year 2000 progress. For the purposes of this report we have divided our
Year 2000 progress into four phases. The assessment phase includes inventory and
identification  of all of our systems and the  assessment of the  criticality of
each system.  The remediation phase includes strategy,  planning,  and execution
for  remediating,  upgrading or  replacing  all of our systems that are not Year
2000 ready.  The testing  phase  includes  both unit testing and system  testing
where applicable.  The deployment and  certification  phase includes delivery of
systems to our  locations and  certification  of the readiness of the systems as
deployed in each location.
         As of  June  30,  1999 we have  completed  approximately:
         o  99% of the assessment phase;
         o  92% of the remediation phase;
         o  88% of the testing phase; and
         o  71% of the deployment and certification phase.
         As of June 30, 1999  we  assess our  overall  completion  of  Year 2000
related tasks at approximately 84%.
         The assessment phase  was substantially  complete on June 30, 1998.  We
estimate the dates of substantial completion of the remaining phases of our Year
2000 program as follows:
         o  Remediation phase                        September 30, 1999
         o  Testing phase                            October 31, 1999
         o  Deployment and certification phase       November 30, 1999
         Year 2000 issue budget and costs. Our Year 2000 program does not depend
upon the  allocation  of Year 2000  budget  funds  that  could  limit  necessary
spending.  Instead,  our management is required to spend the funds  necessary to
achieve  Year 2000  readiness.  We expect  to spend  between  10% and 15% of our
annual  information  technology  budget on Year 2000  remediation and deployment
costs.
         All Year 2000  expenditures  are funded from operations and expensed in
the year incurred.
         As of June 30,  1999,  approximately  $35 million has been spent on our
Year 2000 program.  That amount does  not  include   costs (1)  associated  with
initiatives that are  independent  of Year 2000  issues, or (2) associated  with
our global implementation   of  an enterprise-wide  business  information system
which will  replace many  of  our  key finance,  administrative,  and  marketing
software  systems  during  1999  and 2000.  Also  not  included  are  any  costs
associated   with  our   replacement  and standardization of  desktop  computing
equipment  and  information  technology infrastructure.
         We do not  maintain  precise  breakdowns  of costs for  remediation  of
software  and  remediation  of  non-information   technology   systems.  Of  the
approximately $35 million, pre-tax, spent through June 30, 1999, we estimate the
cost of  remediation  of  software  and  non-information  technology  systems as
follows:
         o  remediation of software systems               $25 million


                                       20


         o  remediation of non-software information       $ 6 million
            technology items
         o  remediation of non-information                $ 4 million
            technology  systems
         We  estimate  that by January 1, 2000 we will have spent  approximately
$48  million on Year 2000 issues.
         Third  party  liability.  After  reviewing  our third  party  liability
exposure related to Year 2000 issues, including:
         o  an overall assessment of our Year 2000 program performance to date,
         o  the nature  and duration of  the warranties and other limitations on
            liability   traditionally   offered,  excluded   and   received   by
            Halliburton's business units, and
         o  Year 2000 standards adopted by Halliburton's business units for new
            contracts,
         we believe that our Year 2000  liability  to third  parties will not be
material to our business, results of operations or financial condition.
         International   exposure.   Our   potential   Year  2000   exposure  in
international  operations is being addressed in two primary ways:
         o  our international  locations are  being  specifically  evaluated for
            Year 2000 readiness as part of our overall Year 2000 program; and
         o  through our  continuing process  of business  continuity planning by
            location,   we   are  specifically   addressing   the  higher  risks
            associated  with   infrastructure   providers   in   less  developed
            countries.
         Our goal is to prevent any material  failure of internal systems or, to
the extent commercially reasonable, of third parties' systems through preemptive
measures. Many of the goods and services that we provide are delivered at remote
locations not directly tied to basic local  infrastructure.  We believe that our
business  continuity  planning process will allow us to provide our customers at
remote  locations with goods and services without material adverse impact on our
results of operations.
         Suppliers. We utilize more than 20,000 suppliers worldwide. To date, we
have mailed Year 2000 readiness questionnaires to approximately 8,000 suppliers.
We will continue to mail questionnaires through the third and fourth quarters of
1999.
         As of June 30, 1999 the overall rate of response to worldwide  supplier
inquiries is approximately  35%. Most suppliers respond with a standard response
providing some insight into the nature of the  supplier's  Year 2000 efforts but
providing no assurances of readiness.
         We have identified  approximately  600  significant  suppliers as being
suppliers that meet one or more of the following criteria:
         o  the supplier  represents over $1 million annually in sales volume to
            us,
         o  the  supplier  is  the  source  of a  commodity  or  product  deemed
            essential, or
         o  the supplier is deemed critical to our operations.
         Questionnaires  regarding Year 2000 readiness have been or will be sent
to each  significant  supplier.  To date  approximately  75% of our  significant
suppliers have responded to our  questionnaire.  Follow-up  attempts are made to
solicit responses from every significant supplier.  Approximately 450 of the 600
significant  suppliers  have  been  requested  to  participate  in our Year 2000
supplier  meetings.  Significant  suppliers  that  participate  in our Year 2000
meetings are required to meet with our personnel and to present details of their
world wide Year 2000  readiness  effort.  Our  personnel  who are  qualified  to
evaluate the  quality  and  appropriateness  of significant suppliers' Year 2000
efforts   attend  each  meeting.   Through  June 30, 1999,   approximately   230
significant suppliers have attended our Year 2000 meetings.
         Approximately  20 of our most critical  suppliers  have been visited by
our personnel.  Those visits  include audits related to the supplier's  progress
toward  Year  2000  readiness.  We expect to  conduct  additional  audits in the
remainder of the year.
         For any  supplier  who we feel has a high risk of not  being  Year 2000
ready,  our  businesses are required to take  appropriate  action and to include
risk  mitigation  steps in their  business  continuity  plans.  Our  actions may
include the selection of alternate  suppliers or the  stockpiling of products or
commodities supplied by high risk suppliers.
         Customers.  We have more than 7,000 customers in over 120 countries. No
customer  outside of our top  twenty  customers  represents  more than 1% of our
annual revenue. In 1998 none of our customers exceeded 7% of our annual revenue.
Accordingly,  we  believe  that our top  twenty  customers  are our  significant
customers.
         Approximately  half of our top twenty customers are major oil companies
with  operations in numerous  countries.  The other half is made up primarily of
large national oil companies,  governments  and a large  international  chemical
company.  Through a combination of face-to-face meetings and review of available
public and web site information,  we have not identified any top twenty customer
whose Year 2000 readiness,  based upon public disclosures or disclosures made to
our personnel,  appears to be in substantial jeopardy. However, we have not been


                                       21


able to obtain as much information from governmental  customers and national oil
companies as we have from other customers. We have not identified any top twenty
customer  that is  expected to suffer  Year 2000  disruptions  that would have a
material impact on our business, results of operations or financial condition.
         Worst case scenario for Year 2000 issues.  With  operations in over 120
countries,  we  recognize  that some Year 2000 risk is inherent in  operating in
less  developed  countries.  Based on our reviews and  experience we believe our
most  reasonably  likely  worst case Year 2000  scenario  to be failure of basic
local  infrastructure  providers in less developed areas of the world. We do not
believe  that  Year  2000  readiness  of  infrastructure  providers,   including
electricity, gas, water, and communications, in some less developed parts of the
world can be determined with any precision. We believe increased risk to be most
likely in less developed areas of Africa, Asia, and Latin America where, without
regard to Year 2000 issues,  periodic  infrastructure  failures  are  relatively
common.  No one  country has been  identified  as being  particularly  likely to
suffer increased Year 2000 risk.
         Our management  believes that  Halliburton's  overall Year 2000 risk is
reduced by our widely dispersed  operations since an  infrastructure  failure in
one country is not likely to directly  impact  another  country.  It is possible
that some of our  significant  suppliers  might not be able to meet their supply
obligations to us in the face of widespread failures of infrastructure providers
in less  developed  countries.  Our results of  operations  could be  materially
harmed in the event of widespread or cascading infrastructure failures.
         Business  continuity  planning.  We are  preparing  to handle  our most
reasonably likely worst-case  scenario,  and lesser disruptions,  as well as any
failure within the Company,  through business  continuity plans. These plans are
designed to provide for development of plans and actions prior to the end of the
year to provide for the continuity of operations,  without material disruptions.
Business  continuity  plans  have been or are being  prepared  by each  physical
location worldwide. Our business continuity planning process is expected to be a
continuing process through the end of the year.
         Our business  continuity planning process includes the possibility that
significant  suppliers  may  not be  able  to  meet  supply  obligations  to us.
Alternative  sources of supply have been or are being  identified.  In addition,
the option of maintaining larger-than-usual inventories of supplies in late 1999
and being  correspondingly  less  dependent on January 2000  deliveries is being
considered  where  appropriate  as  part  of our  business  continuity  planning
process.
         Forward-looking  statements  relating to the Year 2000.  Our discussion
related to the Year 2000 issue includes a number of  forward-looking  statements
that are based on our best  assumptions  and estimates as of today.  Assumptions
and estimates,  which are not  necessarily all of the assumptions and estimates,
include our statements concerning:
         o  estimated  timetables  for  completing  the  phases of our Year 2000
            project;
         o  estimates of the percentages of work that remains to be performed in
            each phase;
         o  estimates of costs for work that remains to be performed;
         o  assessments as to which systems are significant;
         o  identification of potential failures related to Year 2000 issues;
         o  assessments of the risk of our relationships with third parties; and
         o  implementation  of  our  business  continuity  plans.
         Year 2000 risk factors.  The work that we are doing under our Year 2000
program is focused on risk identification and mitigation, most likely worst case
analyses,  and business  continuity  plans  involving  significant  systems  and
relationships with third parties.  There are, however, an almost infinite number
of  additional  risks which are simply not assessable and for which  contingency
plans cannot be established. There are risks of failure, for Year 2000  reasons,
of one or more systems or third party relationships  which we do not judge to be
individually  significant.   These  failures  could  cause  a  cascade  of other
failures,  which  could  have  a  material  impact  on our results of operation.
Actual  results of  our Year  2000  effort  could  differ  materially  from  the
estimates expressed  in our  forward-looking  statements,  due  to  a  number of
factors.  Factors, which are not necessarily all of the factors that could cause
different results, include:
         o  our  failure   to  accurately   judge  which   of  our  systems  and
            relationships are significant;
         o  our ability to obtain and retain  staff and third  party  assistance
            required to complete work that remains to be performed;
         o  our ability to complete the work that remains to be performed within
            the timetables that we established;
         o  our  ability to  locate  and correct  or replace  computer  code and
            systems  embedded  in  equipment  that   controls  or  monitors  our
            operating assets;
         o  our inability  or failure  to identify  significant Year 2000 issues
            not now contemplated or understood; and
         o  the failure, including infrastructure failures, of third parties  to
            achieve Year 2000 readiness.


                                       22


ENVIRONMENTAL MATTERS
         Some  of our  subsidiaries  are  involved  as  potentially  responsible
parties in  remedial  activities  to clean up several  "Superfund"  sites  under
federal law.  Federal law imposes  joint and several  liability,  if the harm is
indivisible,  without regard to fault, the legality of the original  disposal or
ownership  of the  site.  It is very  difficult  to  estimate  a  value  for the
potential impact of compliance with environmental  protection laws. However, our
management  believes that any liability of our subsidiaries for all but one site
will not have a material adverse effect on our results of operations. See Note 6
to the condensed consolidated financial statements for additional information on
the one site.

ACCOUNTING PRONOUNCEMENTS
         In June 1998, the Financial Accounting Standards Board issued Statement
of  Financial   Accounting   Standards  No.  133,   "Accounting  for  Derivative
Instruments  and for Hedging  Activities".  This standard  requires  entities to
recognize all  derivatives  on the statement of financial  position as assets or
liabilities and to measure the  instruments at fair value.  Accounting for gains
and losses  from  changes in those fair  values are  specified  in the  standard
depending on the  intended use of the  derivative  and other  criteria.  In June
1999,  the FASB  deferred the  effective  date of Standard No. 133 for one year.
Standard No. 133 is now effective for Halliburton  beginning January 1, 2001. We
are  currently  evaluating  Standard  No.  133 to  identify  implementation  and
compliance  methods  and have not yet  determined  the  effect,  if any,  on its
results of operations or financial position.


                                       23


PART II.     OTHER INFORMATION

Item 4.  Submission of Matters to a Vote of Security Holders

At our Annual Meeting of Stockholders  held on May 18, 1999,  stockholders  were
asked to consider  and act upon (1) the  election of  Directors  for the ensuing
year and (2) a proposal  to ratify the  appointment  of Arthur  Andersen  LLP as
independent  accountants  to  examine  the  financial  statements  and books and
records of Halliburton  for 1999. The following  table sets out, for each matter
where applicable,  the number of votes cast for, against or withheld, as well as
the number of abstentions and broker non-votes.



                                                            
     (1)      Election of Directors:

              Name of Nominee                  Votes For             Votes Withheld

              Anne L. Armstrong                381,186,509           1,673,529
              William E. Bradford              381,280,592           1,579,446
              Richard B. Cheney                381,358,018           1,502,020
              Lord Clitheroe                   381,269,315           1,590,723
              Robert L. Crandall               381,186,444           1,673,594
              Charles J. DiBona                381,227,294           1,632,744
              Lawrence S. Eagleburger          377,167,172           5,692,866
              W. R. Howell                     381,088,385           1,771,653
              Ray L. Hunt                      381,112,533           1,747,505
              Delano E. Lewis                  381,229,169           1,630,869
              J. Landis Martin                 381,156,784           1,703,254
              Jay A. Precourt                  381,426,046           1,433,992
              C. J. Silas                      381,294,377           1,565,661
              Richard J. Stegemeier            381,187,387           1,672,651

     (2)      Proposal  to ratify  the  appointment  of Arthur  Andersen  LLP as
              independent  accountants  to examine the financial  statements and
              books and records of Halliburton for 1999:

              Number of Votes For                382,004,973
              Number of Votes Against                455,186
              Number of Votes Abstaining             399,879
              Number of Broker Non-Votes                   0


Item 6.  Exhibits and Reports on Form 8-K

      (a)     Exhibits

*     10     Halliburton Company Elective Deferral Plan as amended and  restated
             effective June 1, 1999.

*     27      Financial data schedule for the six months ended June 30, 1999.

      *       Filed with this Form 10-Q



                                       24


Item 6.  Exhibits and Reports on Form 8-K (continued)

      (b)     Reports on Form 8-K



     During the second quarter of 1999:

                        Date of
     Date               Earliest
     Filed              Event              Description of Event
     -------------------------------------------------------------------------------------------------------------------
                                     
     April 6, 1999      March 29, 1999     Item 5. Other Events for a press release announcing that Halliburton has
                                           sold its logging-while-drilling and related measurement-while-drilling
                                           business to W-H Energy Services, Inc.

     April 21, 1999     April 13, 1999     Item 5. Other Events for a press release announcing substantial completion
                                           of major workforce reductions.

     April 28, 1999     April 21, 1999     Item 5. Other Events for a press release announcing Brown & Root Services
                                           provides logistics services to support U.S. forces in Albania.

     April 28, 1999     April 26, 1999     Item 5. Other Events for a press release announcing 1999 first quarter
                                           earnings.

     May 20, 1999       May 18, 1999       Item 5. Other Events for a press release announcing the 1999 shareholders'
                                           meeting and declaration of the second quarter dividend.

     June 9, 1999       May 24, 1999       Item 5. Other Events for a press release announcing that Brown & Root
                                           Services has been awarded a contract by the U.S. Department of State to
                                           perform security improvements at U.S. embassies and consulates.

     June 9, 1999       June 4, 1999       Item 5. Other Events for a press release announcing the filing of Form S-4
                                           with the SEC to acquire all of the ordinary shares of PES (International)
                                           Limited common stock.

     June 29, 1999      June 16, 1999      Item 5. Other Events for a press release announcing Brown & Root Services
                                           has been selected as the sole preferred bidder to negotiate a U.S. $782.4
                                           million contract to design, build, finance and operate a railway linking
                                           Alice Springs in central Australia to the northern port city of Darwin.

     During the third quarter of 1999 to date:

     July 19, 1999      July 15, 1999      Item 5. Other Events for a press release announcing declaration of the
                                           third quarter dividend.

     July 26, 1999      July 22, 1999      Item 5. Other Events for a press release announcing 1999 second quarter
                                           earnings.

     Aug 13, 1999       Aug 12, 1999       Item 5. Other Events for a press release announcing the receipt of offers
                                           from Ingersoll-Rand Company to sell all interests in two joint ventures,
                                           Dresser-Rand and Ingersoll-Dresser Pump.



                                       25


                                   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 individuals.


                                                  HALLIBURTON COMPANY





Date   August 13, 1999                 By:  /s/      Gary V. Morris
    ----------------------                ------------------------------------
                                                     Gary V. Morris
                                               Executive Vice President and
                                                 Chief Financial Officer




                                            /s/  R. Charles Muchmore, Jr.
                                          ------------------------------------
                                                 R. Charles Muchmore, Jr.
                                              Vice President and Controller
                                              (Principal Accounting Officer)



                                       26





                                INDEX TO EXHIBITS


Exhibit   Description
- ----------------------------------------------------------------------------
       
10        Halliburton Company Elective Deferral Plan as amended and restated
          effective June 1, 1999

27        Financial data schedule for the six months ended June 30, 1999