Exhibit
31.1



CERTIFICATION
BY PRINCIPAL EXECUTIVE OFFICER



I,
Lishan Aklog, M.D., certify that:



|1. | I
    have reviewed this Annual Report on Form 10-K of PAVmed Inc.;                                                                                                                                                                                                                                                                             
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|   |                                                                                                                                                                                                                                                                                                                                                 
|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 the statements made, in light of the circumstances under which such statements were made, not misleading with respect
    to the period covered by this report;                          
|   |                                                                                                                                                                                                                                                                                                                                                 
|4. | The
    registrant's other certifying officer 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)) and internal control over financial reporting (as defined in Exchange
    Act Rules 13a-15(f) and 15d-15(f)) 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 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;                  
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| | 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 officer and I have disclosed, based on our most recent evaluation of internal control
    over financial reporting, to the registrant’s auditors and the audit committee of the registrant’s board of directors
    (or persons performing the equivalent functions):
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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.                                                                                                   



|Date:
    September 30, 2019 | By: | /s/
    Lishan Aklog, M.D.       
|---------------------------- | --- | ---------------------------------
|                             |     | Lishan
    Aklog, M.D.           
|                             |     | Chief
    Executive Officer      
|                             |     | (Principal
    Executive Officer)