Exhibit 32.2
CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
In connection with the Annual Report of Incannex Healthcare Inc., (the “Company”) on Form 10-K for the fiscal year ended June 30, 2024 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I certify in my capacity as the principal financial and accounting officer of the Company, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that, to the best of my knowledge:
| (1) | The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and |
| (2) | The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company. |
| Date: September 30, 2024 | By: | /s/ Joseph Swan |
| Joseph Swan | ||
| Chief Financial Officer (principal financial and accounting officer) |