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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 25, 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 25, 1998, Consolidated Natural Gas Company issued a press release 
concerning its expected earnings for the first quarter of 1998.  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 25, 1998                                   and Chief Financial Officer