SECURITIESAND EXCHANGE COMMISSION                        
                             Washington,D.C. 20549                              
                                                                                
                                    FORM6-K                                     
                                                                                
                        REPORTOF FOREIGN PRIVATE ISSUER                         
                       PURSUANTTO RULE 13a-16 OR 15d-163                        
                    UNDERTHE SECURITIES EXCHANGE ACT OF 1934                    
                                                                                
                            Forthe month of May 2024                            
                                                                                
                          AlterityTherapeutics Limited                          
                              (Nameof Registrant)                               
                                                                                
        Level 14, 350 Collins Street,Melbourne, Victoria 3000 Australia         
                     (Addressof Principal Executive Office)                     
                                                                                
Indicateby check mark whether the registrant files or will file annual reports 
under cover of Form 20-F or Form 40-F.
                                                                                
                            Form20-F       Form 40-F                            
                                                                                
ThisForm 6-K is being incorporated by reference into our Registration 
Statement on Form S-8 (Files No.
333-251073
,
333-248980
and
333-228671
) and ourRegistration Statements on Form F-3 (Files No.
333-274816
,
333-251647
,
333-231417
and
333-250076
)
                                                                                


                                                                                
                                                                                

                                                                                
                          ALTERITYTHERAPEUTICS LIMITED                          
                        (adevelopment stage enterprise)                         

Thefollowing exhibits are submitted:


99.1  Notification of cessation of securities - ATH


                                       1                                        

                                                                                
                                   SIGNATURE                                    
                                                                                
Pursuantto the requirements of the Securities Exchange Act of 1934, the 
registrant has duly caused this report to be signed on its behalf bythe 
undersigned, thereunto duly authorized.


 Alterity Therapeutics Limited 
                               
 By:    /s/ Geoffrey P. Kempler
        Geoffrey P. Kempler    
        Chairman               


                                                              Date: May 22, 2024
                                                                                
                                                                                
                                       2                                        



                                                                    Exhibit 99.1
                                                                                

 Appendix 3H - Notification of cessation of securities


Announcement Summary




Entity name

ALTERITY THERAPEUTICS LIMITED

Announcement Type

New announcement

Date of this announcement

Tuesday May 21, 2024

Details of +securities that have ceased



ASX +security   Security     Number of   The +securities                                                       Date of  
code           description  +securities  have                                                                  cessation
                               that      ceased due to                                                                  
                            have ceased                                                                                 
                                                                                                                        
ATHAAE           OPTION     5,000,000    Lapse of conditional right to securities because the conditionshave  07/05/2024
                EXPIRING                 not been, or have become incapable of being, satisfied                         
               29-NOV-2026                                                                                              
                EX $0.0375                                                                                              


Refer to next page for full details of the announcement




Appendix 3H - Notification of cessation of securities 1
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 Appendix 3H - Notification of cessation of securities


Part 1 - Announcement Details






1.1 Name of +Entity


ALTERITY THERAPEUTICS LIMITED

We (the entity named above) provide the following informationabout our issued 
capital.


1.2 Registered Number Type  Registration Number
                                               
ACN                         080699065          



1.3 ASX issuer code


ATH


1.4 The announcement is


New announcement


1.5 Date of this announcement


21/5/2024





Appendix 3H - Notification of cessation of securities 2
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 Appendix 3H - Notification of cessation of securities


Part 2 - Details of +equity securities or +debt securities that haveceased




Asx +Security Code And Description

ATHAAE : OPTION EXPIRING 29-NOV-2026 EX $0.0375

Unquoted +equity securities that have ceased
Number of securities thathave ceased

5,000,000

Reason for cessation

Lapse of conditional right to securities because theconditions have not been, 
or have become incapable of being, satisfied


Date of cessation  Is the entity paying any consideration for the cessation?
                                                                            
7/5/2024           No                                                       


Any other information the entity wishes to notify toASX about the cessation?

Lapse due to employee resignation





Appendix 3H - Notification of cessation of securities 3
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 Appendix 3H - Notification of cessation of securities


Part 3 - Issued capital following changes




Following the cessation of the +securities thesubject of this notification, 
the issued capital of the entity will comprise:

The figures in parts 3.1 and 3.2 below are automatically generatedand may not 
reflect the entity's current issued capital if other Appendix 2A, Appendix 3G 
or Appendix 3H forms are currently with ASXfor processing.


3.1 Quoted +equity securities and +debt securities (total number of each +class of + securities quoted on ASX)



ASX +security code and description          Total         
                                          number of       
                                     +securities on issue 
                                                          
ATH : ORDINARY FULLY PAID                   5,245,115,318 
ATHO : OPTION EXPIRING 31-AUG-2026            932,706,668 



3.2 Unquoted +equity securities (total number of each +class of +equity securities issued but not quoted on ASX)



ASX +security code and description                            Total              
                                                  number of +securities on issue 
ATHAAI : OPTION EXPIRING 31-AUG-2024 EX $0.007                     1,935,759,704 
ATHAAE : OPTION EXPIRING 29-NOV-2026 EX $0.0375                       14,250,000 
ATHAAF : OPTION EXPIRING 31-JUL-2024 EX $0.07                         12,000,000 
ATHAAG : OPTION EXPIRING 29-NOV-2026 EX $0.0238                       11,900,000 
ATHAAB : OPTION EXPIRING 17-SEP-2025 EX $0.09                         35,000,000 
ATHAAH : OPTION EXPIRING 19-DEC-2026 EX $0.0105                        8,000,000 
ATHAAD : OPTION EXPIRING 06-JAN-2026 EX $0.032                        91,392,720 


Note:the figures stated in the tables above are used to calculate the total 
market capitalisation of the entity published by ASX from timeto time. The 
table will not include those classes of +securities that have ceased or lapsed 
in their entirety in ASX records before theannouncement date described in 
Q1.5, even if the entity has advised ASX of a change to that class of 
+security in Part 2 of this form.




Appendix 3H - Notification of cessation of securities 4
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{graphic omitted}