HALLIBURTON COMPANY
                                   EXHIBIT 11

                        COMPUTATION OF EARNINGS PER SHARE

     The calculation  below for earnings per share of the $2.50 par value Common
Stock of the  Company on a primary and fully diluted  basis for the three months
ended March 31, 1996 and 1995, is submitted  in  accordance with  Regulation S-K
item 601 (b) (11).



                                                                Three Months
                                                               Ended March 31
                                                          -----------------------
                                                             1996         1995
                                                          ----------  -----------
Primary:                                               Millions of dollars except
                                                             per share data
                                                                        
  Net income                                              $     51.5   $     39.1

  Average number of common and common share
     equivalents outstanding                                   115.4        114.3

  Primary net income per share                            $     0.45   $     0.34

- ---------------------------------------------------------------------------------

Fully Diluted:
  Net income                                              $     51.5   $     39.1
  Add after-tax interest expense applicable to
     Zero Coupon Convertible Subordinated
      Debentures due 2006                                        0.0          3.4
                                                          ----------  -----------
   Adjusted net income                                    $     51.5   $     42.5

   Adjusted average number of shares outstanding               115.6        119.3

   Fully diluted earnings per share                       $     0.45  $      0.36

<FN>
The foregoing  computations do not reflect any significant  potentially dilutive
effect the  Company's  Preferred  Stock  Purchase  Rights Plan could have in the
event such Rights  become  exercisable  and any shares of either Series A Junior
Participating Preferred Stock or Common Stock of the Company are issued upon the
exercise of such Rights.
</FN>


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