Company: IXHL
Filing Date: 2025-04-16
Form Type: CORRESP
Source: 0001213900-25-032579
Chunk: 3

Company: Incannex Healthcare Inc.
Filing Date: 2025-04-16
Form: CORRESP
Chunk 3
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 page 7 of the S-1.

April 16, 2025

Page 4

Use of Proceeds, page 9

| 8. | With reference to your disclosure on page 1, we note that (i) your Pre-Funded Warrants are exercisable                                       
 (in cash or by cashless exercise) for shares of Common Stock for a nominal exercise price of $0.0001 per Pre-Funded Warrant Share and        
 (ii) your Series A Warrants provide an alternative cashless exercise provision where you would not receive any cash proceeds from            
 the exercise. Accordingly, please supplement your disclosure here by discussing how these provisions may likely limit the amount of proceeds 
 you will receive from any exercise.                                                                                                          |

:

The Company respectfully acknowledges the Staff’s comment and
has revised this disclosure on page 10 of the S-1 in accordance with the Staff’s comment.

<div align='center'>* * *</div>

We hope that the foregoing has been responsive
to the Staff’s comments. If you have any additional questions or comments related to this letter, please feel free to contact me
directly at MRLevy@mintz.com or 858-314-1873.

| Very truly yours,          |
| /s/ Melanie Ruthrauff Levy |
| Melanie Ruthrauff Levy     |

| cc: | Scott Stanton, Mintz, Levin, Cohn, Ferris, Glovsky and Popeo, P.C. |
|     | Jason Miller, Mintz, Levin, Cohn, Ferris, Glovsky and Popeo, P.C.  |
|     | Joel Latham, Incannex Healthcare Inc.                              |