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                       SECURITIES AND EXCHANGE COMMISSION

                            Washington, D.C.  20549

                                 ______________

                                   FORM  T-1

                       STATEMENT OF ELIGIBILITY UNDER THE
                        TRUST INDENTURE ACT OF 1939 OF A
                    CORPORATION DESIGNATED TO ACT AS TRUSTEE

                CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY
                OF A TRUSTEE PURSUANT TO SECTION 305(b)(2)______

                                _______________

                                        
                  TEXAS  COMMERCE  BANK  NATIONAL  ASSOCIATION
              (Exact name of trustee as specified in its charter)

                                   74-0800980
                                (I.R.S. Employer
                              Identification No.)

             712 Main Street
             Houston, Texas                                             77002
(Address of principal executive offices)                              (Zip Code)

                    LEE BOOCKER, 712 MAIN STREET, 26TH FLOOR
                     HOUSTON, TEXAS  77002  (713) 216-2448
           (Name, address and telephone number of agent for service)
                              ___________________


                              HALLIBURTON COMPANY
              (Exact name of obligor as specified in its charter)

            Delaware                                            75-2677995
(State or other jurisdiction of                              (I.R.S. Employer
 incorporation or organization)                             Identification No.)


       3600 Lincoln Plaza
          500 N. Akard
         Dallas, Texas                                          75201-3391
(Address of principal executive offices)                        (Zip Code)


                                Debt Securities

                      (Title of the indenture securities)

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<PAGE>
 
Item 1.        General Information.

               Furnish the following information as to the trustee:

               (a)    Name and address of each examining or supervising 
                      authority to which it is subject.

                      Comptroller of the Currency, Washington, D.C.
                      Federal Deposit Insurance Corporation, Washington, D.C.
                      Board of Governors of The Federal Reserve System, 
                      Washington, D.C.

        (b)    Whether it is authorized to exercise corporate trust powers.

                      Yes.


Item 2.        Affiliations with the obligor.

               If the obligor is an affiliate of the trustee, describe each such
affiliation.

               The obligor is not an affiliate of the trustee.

               (See Note on Page 5.)


Item 3.        Voting securities of the trustee.

               Furnish the following information as to each class of voting
securities of the trustee:

                           Col. A                                  Col. B
                       Title of Class                        Amount outstanding
                       --------------                        ------------------

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 4.        Trusteeships under other indentures.

               If the trustee is a trustee under another indenture under which
any other securities, or certificates of interest or participation in any other
securities, of the obligor are outstanding, furnish the following information:

               (a)    Title of the securities outstanding under each such other
        indenture.

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.

               (b)    A brief statement of the facts relied upon as a basis for
        the claim that no conflicting interest within the meaning of Section
        310(b)(1) of the Act arises as a result of the trusteeship under any
        such other indenture, including a statement as to how the indenture
        securities will rank as compared with the securities issued under such
        other indenture.

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.
<PAGE>
 
Item 5.        Interlocking directorates and similar relationships with the 
obligor or underwriters.

               If the trustee or any of the directors or executive officers of
the trustee is a director, officer, partner, employee, appointee or
representative of the obligor or of any underwriter for the obligor, identify
each such person having any such connection and state the nature of each such
connection.

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 6.        Voting securities of the trustee owned by the obligor or its 
officials.

               Furnish the following information as to the voting securities of
the trustee owned beneficially by the obligor and each director, partner and
executive officer of the obligor.

<TABLE> 
<CAPTION> 
            Col. A                       Col. B                        Col. C                       Col. D
                                                                                                 Percentage of
                                                                                               voting securities
                                                                                                represented by
                                                                    Amount owned                 amount given
         Name of owner               Title of class                 beneficially                   in Col. C
         -------------               --------------                 ------------               ----------------
<S>                                  <C>                            <C>                        <C> 

</TABLE> 
               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 7.        Voting securities of the trustee owned by underwriters or their
               officials.

               Furnish the following information as to the voting securities of
the trustee owned beneficially by each underwriter for the obligor and each
director, partner and executive officer of each such underwriter.

<TABLE> 
<CAPTION> 
            Col. A                       Col. B                        Col. C                       Col. D
                                                                                                 Percentage of
                                                                                               voting securities
                                                                                                represented by
                                                                    Amount owned                 amount given
         Name of owner               Title of class                 beneficially                   in Col. C
         -------------               --------------                 ------------               -----------------
<S>                                  <C>                            <C>                        <C>   

</TABLE> 
               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 8.        Securities of the obligor owned or held by the trustee.

               Furnish the following information as to securities of the obligor
owned beneficially or held as collateral security for obligations in default by
the trustee.

<TABLE> 
<CAPTION> 
            Col. A                       Col. B                        Col. C                       Col. D
                                       Whether the                  Amount owned
                                       securities               beneficially or held           Percent of class
                                       are voting              as collateral security           represented by
                                      or nonvoting                 for obligations               amount given
        Title of class                 securities                       in default                 in Col. C
        --------------                ------------             ----------------------          ----------------
<S>                                   <C>                      <C>                             <C> 

</TABLE> 

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.
<PAGE>
 
Item 9.        Securities of underwriters owned or held by the trustee.

               If the trustee owns beneficially or holds as collateral security
for obligations in default any securities of an underwriter for the obligor,
furnish the following information as to each class of securities of such
underwriter any of which are so owned or held by the trustee.

<TABLE> 
<CAPTION> 
            Col. A                       Col. B                        Col. C                       Col. D
                                                                    Amount owned
                                                                beneficially or held           Percent of class
                                                               as collateral security           represented by
      Name of issuer and                 Amount                  for obligations in              amount given
        title of class                 outstanding                default by trustee               in Col. C
      ------------------               -----------             ----------------------          ----------------
<S>                                    <C>                     <C>                             <C> 

</TABLE> 

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 10.       Ownership or holdings by the trustee of voting securities of
               certain affiliates or security holders of the obligor.

               If the trustee owns beneficially or holds as collateral security
for obligations in default voting securities of a person who, to the knowledge
of the trustee (1) owns 10 percent or more of the voting securities of the
obligor or (2) is an affiliate, other than a subsidiary, of the obligor, furnish
the following information as to the voting securities of such person:

<TABLE> 
<CAPTION> 

            Col. A                       Col. B                        Col. C                       Col. D
                                                                    Amount owned
                                                                beneficially or held           Percent of class
                                                               as collateral security           represented by
      Name of issuer and                 Amount                  for obligations in              amount given
        title of class                 outstanding                default by trustee               in Col. C
      ------------------               -----------             ----------------------          ----------------
<S>                                    <C>                     <C>                             <C> 

</TABLE> 
               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 11.       Ownership or holdings by the trustee of any securities of a 
               person owning 50 percent or more of the voting securities of 
               the obligor.

               If the trustee owns beneficially or holds as collateral security
for obligations in default any securities of a person who, to the knowledge of
the trustee, owns 50 percent or more of the voting securities of the obligor,
furnish the following information as to each class of securities of such person
any of which are so owned or held by the trustee.

<TABLE> 
<CAPTION> 
            Col. A                       Col. B                        Col. C                       Col. D
                                                                    Amount owned
                                                                beneficially or held           Percent of class
                                                               as collateral security           represented by
      Name of issuer and                 Amount                  for obligations in              amount given
        title of class                 outstanding                default by trustee               in Col. C
      ------------------               -----------             ----------------------          ----------------
<S>                                    <C>                     <C>                             <C> 

</TABLE> 

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.
<PAGE>
 
Item 12.       Indebtedness of the obligor to the trustee.

               Except as noted in the instructions, if the obligor is indebted
to the trustee, furnish the following information:

<TABLE> 
<CAPTION> 
                        Col. A                             Col. B                                  Col. C

                       Nature of                           Amount
                     Indebtedness                        Outstanding                               Date Due
                     ------------                        -----------                               --------
                     <S>                                 <C>                                       <C>  
</TABLE> 
               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 13.       Defaults by the obligor.

               (a) State whether there is or has been a default with respect to
the securities under this indenture. Explain the nature of any such default.

               There is not, nor has there been, a default with respect to the
        securities under this indenture. (See Note on Page 5.)

               (b) If the trustee is a trustee under another indenture under
which any other securities, or certificates of interest or participation in any
other securities, of the obligor are outstanding, or is trustee for more than
one outstanding series of securities under the indenture, state whether there
has been a default under any such indenture or series, identify the indenture or
series affected, and explain the nature of any such default.


               There has not been a default under any such indenture or series.
(See Note on Page 5.)


Item 14.       Affiliations with the underwriters.

               If any underwriter is an affiliate of the trustee, describe each
such affiliation.

               Not applicable by virtue of Form T-1 General Instruction B and
response to Item 13.


Item 15.       Foreign trustee.

               Identify the order or rule pursuant to which the foreign trustee
is authorized to act as sole trustee under indentures qualified or to be
qualified under the Act.

               Not applicable.
<PAGE>
 
Item 16.       List of exhibits.

               List below all exhibits filed as a part of this statement of
eligibility.

<TABLE> 
<S>            <C>    <C> 
        .1     --     A copy of the articles of association of the trustee as now in effect.
        #2     --     A copy of the certificate of authority of the trustee to commence business.
        *3     --     A copy of the authorization of the trustee to exercise corporate trust powers.
       []4     --     A copy of the existing by-laws of the trustee.
         5     --     Not applicable.
        *6     --     The consent of the trustee required by Section 321(b) of the Act.
        o7     --     A copy of the latest report of condition of the trustee published pursuant to law or the
                      requirements of its supervising or examining authority.
         8     --     Not applicable.
         9     --     Not applicable.
</TABLE> 

-------------
        .             Incorporated by reference to exhibit bearing the same
                      designation and previously filed with the Securities and
                      Exchange Commission as an exhibit to the Form S-3 File No.
                      33-56195.

        #             Incorporated by reference to exhibit bearing the same
                      designation and previously filed with the Securities and
                      Exchange Commission as an exhibit to the Form S-3 File No.
                      33-42814.

        *             Incorporated by reference to exhibit bearing the same
                      designation and previously filed with the Securities and
                      Exchange Commission as exhibits to the Form S-11 File No.
                      33-25132.

        []            Incorporated by reference to exhibit bearing the same
                      designation and previously filed with the Securities and
                      Exchange Commission as an exhibit to the Form S-3 File No.
                      33-65055.

        o             Incorporated by reference to exhibit bearing the same
                      designation and previously filed with the Securities and
                      Exchange Commission as an exhibit to the Form S-3 File No.
                      333-26519.


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

                                                       NOTE

          Inasmuch as this Form T-1 is filed prior to the ascertainment by the
trustee of all facts on which to base responsive answers to Items 2 and 13, the
answers to said Items are based on incomplete information. Such Items may,
however, be considered as correct unless amended by an amendment to this Form 
T-1.
<PAGE>
 
                                   SIGNATURE

          Pursuant to the requirements of the Trust Indenture Act of 1939 the
trustee, Texas Commerce Bank National Association, a national banking
association organized and existing under the laws of the United States of
America, has duly caused this statement of eligibility to be signed on its
behalf by the undersigned, thereunto duly authorized, all in the City of Houston
and State of Texas, on the 1st day of August, 1997.

                                       TEXAS COMMERCE BANK
                                       NATIONAL ASSOCIATION


                                       By: /s/ Terry Stewart
                                           ----------------------------------
                                           Terry Stewart
                                           Vice President
