El Paso Electric 10-Q 2004 Q2 Quarterly report

Exhibit 32.01

August 9, 2004

The certification set forth below is being submitted in connection with the Quarterly Report on Form 10-Q for the fiscal quarter ended June 30, 2004 (the “Report”) of El Paso Electric Company (the “Company”) for the purpose of complying with Rule 13a-14(b) or Rule 15d-14(b) of the Securities Exchange Act of 1934 (the “Exchange Act”) and Section 1350 of Chapter 63 of Title 18 of the United States Code.

Gary R. Hedrick and Terry Bassham, each certifies that, to the best of his knowledge:

1. such Report fully complies with the requirements of Section 13(a) of the Exchange Act; and

2. the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

/S/ GARY R. HEDRICK

Gary R. Hedrick

President and Chief Executive

Officer

/S/ TERRY BASSHAM

Terry Bassham

Executive Vice President, Chief

Financial and Administrative Officer