CONSOLIDATED NATURAL GAS CO
35-CERT, 1996-04-30
NATURAL GAS TRANSMISISON & DISTRIBUTION
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SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549

____________________________________________ 
                                             :
In the Matter of                             :        CERTIFICATE
                                             :             of
CONSOLIDATED NATURAL GAS COMPANY             :        NOTIFICATION
Pittsburgh, Pennsylvania                     :           NO. 20
                                             :        ____________
File No. 70-7838                             :                 
                                             :        TRANSACTIONS
(Public Utility Holding Company Act of 1935)         DURING PERIOD
____________________________________________                  
                                                    January 1, 1996
                                                         through
                                                     March 31, 1996


TO THE SECURITIES AND EXCHANGE COMMISSION:
	By order dated April 10, 1991 (HCAR No. 25294) ("Order") in the 
above-captioned proceedings, the Securities and Exchange Commission permitted 
the Application-Declaration of Consolidated Natural Gas Company 
("Consolidated") to become effective, thereby authorizing Consolidated to issue 
up to 8.5 million shares of its Common Stock (which shares may be authorized 
but unissued shares, treasury shares, or a combination thereof) pursuant to 
awards granted under its 1991 Stock Incentive Plan ("Plan").  No award may be 
granted after December 31, 2000 and no stock will be issued after December 31, 
2010.
	This Certificate is filed pursuant to Rule 24 as a notification that of the 
various transactions authorized by the Order, the following have been carried 
out in accordance with the terms and conditions of and for the purposes 
represented by the Application-Declaration and the Order.  
	During this period, 675 shares were issued as Achievement Stock Awards and 
410,000 shares were issued as restricted stock awards pursuant to the Plan and 
the authorization in the Order.  During the period no Restricted Stock Awards


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were cancelled.  During the first quarter of 1996, options on 33,339 shares of 
Consolidated's common stock $2.75 par value, were exercised.  To date, 881,758 
shares have been issued in the following manner:

			Achievement Stock Awards        16,240
			Restricted Stock Awards        579,003
			Non-Qualified Stock Options    286,515

	Acquisitions by Consolidated of its Common Stock through the exchange and 
tax withholding provisions of the Plan (and held as Treasury Stock) are 
reported under File No. 70-7948.
	The "past-tense" opinion required by paragraph F(2) of the instructions as 
to exhibits for Form U-1 will be filed when all transactions authorized 
pursuant to said Order have been consummated.

			CONSOLIDATED NATURAL GAS COMPANY



			By  J. M. Hostetler
			    Its Attorney

Dated this 30th day
of April, 1996






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