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                        SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, DC  20549



                                   FORM 8-K



                                CURRENT REPORT

    Pursuant to Section 13 or 15(d) of the Securities Exchange
Act of 1934



     Date of Report (Date of earliest event reported):  March 4,
1998


                           CONSOLIDATED NATURAL GAS COMPANY


               (Exact name of registrant as specified in its
charter)



           Delaware                    1-3196                 13-
0596475


     (State of incorporation)       (Commission             (IRS
Employer
                                    File Number)
Identification No.)




           CNG Tower, 625 Liberty Avenue,   Pittsburgh, PA  15222-
3199


          (Address of principal executive offices, including zip
code)



       Registrant's telephone number, including area code:  (412)
690-1000



                                    Not Applicable


          (Former name or former address, if changed since last
report.)
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ITEM 5.    OTHER EVENTS

On March 3, 1998, Consolidated Natural Gas Company issued a press
release concerning the acceptance of a bid by substantially all
the owners of Epic Energy Pty. Ltd to purchase a 925 mile
pipeline being privatized by the state government of Western
Australia.  Consolidated will indirectly own a one-third interest
in Epic Western Australia Trust expected to be established to
acquire the pipeline.  A copy of the press release is hereby
incorporated by reference and made a part of this filing as
Exhibits 1 hereto.
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                                SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of
1934, the
registrant has duly caused this report to be signed on its behalf
by the
undersigned hereunto duly authorized.

                                         CONSOLIDATED NATURAL GAS
COMPANY

________________________________
                                                   (Registrant)


                                          By        D. M.
WESTFALL

______________________________
                                                   (D. M.
Westfall)
                                                Senior Vice
President
March 4, 1998                                   and Chief
Financial Officer