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EXHIBIT 31.1

Certification Required by Rule 13a-14(a) or Rule 15d-14(a)

I, Ron Hooper, certify that:



|1. |  | I have reviewed this Annual Report on Form 10-K of Permian
Basin Royalty Trust, for which Bank of America, N.A., acts as
Trustee;                                                                                                                                                                                       
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|2. |  | Based on my knowledge, this annual 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 annual report;
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|3. |  | Based on my knowledge, the financial statements, and other
financial information included in this annual report, fairly present
in all material respects the financial condition, distributable
income and changes in trust corpus of the registrant as of, and for,
the periods presented in this annual report;       
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|4. |  | I am responsible for establishing and maintaining disclosure
controls and procedures (as defined in Exchange Act
Rules 13a-15(e) and
15d-15(e), or for causing such procedures to be established and
maintained, for the registrant and I have:                                                                         



| | a) |  | designed such disclosure controls and procedures,
or caused such controls and procedures to be designed, to
ensure that material information relating to the registrant,
including its consolidated subsidiaries, is made known to me
by others within those entities, particularly during the
period in which this annual report is being prepared;                                      
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| | b) |  | evaluated the effectiveness of the registrants
disclosure controls and procedures and presented in this
annual report my 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                                                                                                 
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| | c) |  | disclosed in this annual 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;



|5. |  | I have disclosed, based on my most
recent evaluation of internal control over financial reporting, to the
registrants auditors:
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| | a) |  | all significant deficiencies and material
weaknesses in the design or operation of internal control over
financial reporting which are reasonably likely to adversely
affect the registrants ability to record, process, summarize
and report financial information; and
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| | 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.                                                                                               



| |  | In giving the certifications in
paragraphs 4 and 5 above, I have
relied to the extent I consider reasonable on information provided
to me by Burlington Resources Oil & Gas Company and River Hill
Energy Corporation.
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|                     |  |     |  |                                        
|-------------------- |  | --- |  | ---------------------------------------
|Date: March 12, 2004 |  | By: |  | /s/ Ron E. Hooper                      
|                     |  |     |  |                                        
|                     |  |     |  | Ron E. Hooper                          
|                     |  |     |  | Senior Vice President and Administrator
|                     |  |     |  | Bank of America, N.A.,