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**EXHIBIT 31.1**

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

I, Ron E. Hooper, certify that: 

1. I have reviewed this report on Form 10-Q of Permian Basin Royalty Trust, for which Simmons Bank, acts as Trustee;

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

3. Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects thefinancial condition, distributable income and changes in trust corpus of the registrant as of, and for, the periods presented in this report; 

4. I amresponsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control overfinancial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)), or for causing such controls and procedures to be established and maintained, for theregistrant and I have: 

 
 a)
designed such disclosure controls and procedures, or caused such disclosure controls and procedures to bedesigned under my supervision, 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 report is beingprepared; 

 
 b)
designed such internal control over financial reporting, or caused such internal control over financialreporting to be designed under my supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes; 

 
 c)
evaluated the effectiveness of the registrant’s disclosure controls and procedures and presented in thisreport 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 

 
 d)
disclosed in this report any change in the registrant’s internal control over financial reporting thatoccurred 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 internalcontrol over financial reporting; and 

5. I have disclosed, based on my most recent evaluation of internal control over financialreporting, to the registrant’s auditors: 

 
 a)
all significant deficiencies and material weaknesses in the design or operation of internal control overfinancial reporting which are reasonably likely to adversely affect the registrant’s ability to record, process, summarize and report financial information; and 

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

In giving the certifications in paragraphs 4 and 5 above, I haverelied to the extent I consider reasonable on information provided to me by Burlington Resources Oil & Gas Company LP and Riverhill Energy Corporation. 

 
Date: August 10, 2020  By: /s/ RON E. HOOPER   Ron E. Hooper,   SVP Royalty Trust Management   Simmons Bank**