Exhibit 31.1

CERTIFICATIONS

I, Curtis W. Mewbourne certify that:

1. I have reviewed this quarterly report on Form 10-Q of Mewbourne Energy Partners 04-A, L.P.

2. Based on my knowledge,
this quarterly report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect
to the period covered by this quarterly report;

3. Based on my knowledge, the financial statements, and other financial information included in this
quarterly report, fairly present in all material respects the financial condition, results of operations and cash flows of the registrant as of, and for, the periods presented in this quarterly report;

4. The registrants other certifying officers and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act
Rules 13a-15(e) and 15d-15(e)) for the registrant and have:

(a) Designed such disclosure controls and procedures, or caused such disclosure
controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the
period in which this report is being prepared;

(b) Designed such internal control over financial reporting, or caused such internal control
over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted
accounting principles;

(c) Evaluated the effectiveness of the registrants disclosure controls and procedures and presented in this
report our conclusions about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation; and

(d) Disclosed in this report any change in the registrants internal control over financial reporting that occurred during the registrants most recent fiscal quarter (the registrants fourth fiscal
quarter in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrants internal control over financial reporting; and

5. The registrants other certifying officers and I have disclosed, based on our most recent evaluation, to the registrants auditors and the audit committee of the registrants board of directors (or
persons performing the equivalent function):

(a) all significant deficiencies in the design or operation of internal controls which could
adversely affect the registrants ability to record, process, summarize and report financial data and have identified for the registrants auditors any material weaknesses in internal controls; and

(b) any fraud, whether or not material, that involves management or other employees who have a significant role in the registrants internal control
over financial reporting.

Date: May 15, 2009



/s/ Curtis W. MewbourneCurtis W. MewbourneChief Executive OfficerMewbourne Development Corporation,Managing General Partner of the Registrant