Exhibit
31.1



Certification
of Chief Executive Officer

Pursuant
to Section 302 of the Sarbanes-Oxley Act of 2002



I,
J. Daniel Moon, IV, certify that:



|1. | I
    have reviewed this Annual Report on Form 10-K/A of SSB Bancorp, 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;                             
|   |                                                                                                                                                                                                                                                                                                                                                    
|3. | Based
    on my knowledge, the financial statements, and other financial information included in this 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 report;                                                
|   |                                                                                                                                                                                                                                                                                                                                                    
|4. | The
    registrant’s other certifying officer(s) 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 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;             
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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(s) 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:
    June 25, 2019 | /s/
    J. Daniel Moon, IV               
|----------------------- | -----------------------------------------
|                        | J.
    Daniel Moon, IV                   
|                        | President
    and Chief Executive Officer