Exhibit 32.1
Certification
In connection with the Quarterly Report of The Exploration Company of Delaware, Inc. (the "Company") on Form 10-Q for the period ended September 30, 2004 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, James E. Sigmon, Chief Executive Officer of the Company, hereby certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:
1.     The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; 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/  James E. Sigmon
	Name:  James E. Sigmon
	Title:    Chief Executive Officer
	Date:    November 9, 2004
The foregoing certification is being furnished solely pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and is not being filed as part of the Report or as a separate disclosure document.
A signed original of this written statement required by Section 906 has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.