Exhibit 13.1
Certification
of the Principal Executive Officer
Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002
In connection with the Annual Report of Regencell Bioscience Holdings Limited (the “Company”) on Form 20-F for the fiscal year ended June 30, 2025 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Yat-Gai Au, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:
| (1) | The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and |
| (2) | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. |
Dated: October 31, 2025
| By: | /s/ Yat-Gai Au | |
| Name: | Yat-Gai Au | |
| Title: | Chief
Executive Officer (Principal Executive Officer) |