ATHE 6-K

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

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Forthe month of June 2025

AlterityTherapeutics Limited

(Name of Registrant)

Level 14, 350 Collins Street,Melbourne, Victoria 3000 Australia

(Address of 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.

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Form 20-F ☒       Form 40-F ☐

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ThisForm 6-K is being incorporated by reference into our Registration Statement on Form S-8 (Files No. 333-251073, 333-248980and 333-228671) and ourRegistration Statements on Form F-3 (Files No. 333-274816, 333-251647, 333-231417and 333-250076)

ALTERITYTHERAPEUTICS LIMITED

(adevelopment stage enterprise)

The following exhibits are submitted:

99.1	Notification of cessation of securities - ATH

1

SIGNATURE

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

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

Date: June 30, 2025

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

Monday June 30, 2025

Details of +securities that have ceased

ASX +securitycode	Security description	Number of +securities that have ceased	The +securities have ceased due to	Date of cessation
ATHAAE	OPTION<br> EXPIRING<br><br> <br>29-NOV-2026<br> EX $0.0375	4,250,000	Lapse<br> of conditional right to securities because the conditions have not been, or have become incapable<br> of being, satisfied	30/06/2025
ATHAAG	OPTION<br> EXPIRING<br><br> <br>29-NOV-2026 EX $0.0238	400,000	Lapse<br> of conditional right to securities because the conditions have not been, or have become incapable<br> of being, satisfied	30/06/2025

Refer to next page for full details of the announcement

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Part 1 - Announcement Details

1.1Name of +Entity

ALTERITY THERAPEUTICS LIMITED

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

1.2 Registered number type	Registration number
ABN	37080699065

1.3ASX issuer code

ATH

1.4The announcement is

New announcement

1.5Date of this announcement

30/6/2025

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Part 2 - Details of +equity securities or +debt securities that have ceased

ASX +Security Code and Description

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

Unquoted +equity securitiesthat have ceased

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Number of securitiesthat have ceased

4,250,000

Reason forcessation

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

Date of cessation	Is the entity paying any consideration for the cessation?
30/6/2025	No

Any other information the entity wishes to notify to ASX aboutthe cessation?

Lapse due to employee resignation.

ASX +SecurityCode and Description

ATHAAG : OPTION EXPIRING 29-NOV-2026 EX $0.0238

Unquoted +equitysecurities that have ceased

Number of securitiesthat have ceased

400,000

Reason forcessation

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

Date of cessation	Is the entity paying any consideration for the cessation?
30/6/2025	No

Any other informationthe entity wishes to notify to ASX about the cessation?

Lapse due to contractor cessation.

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Part 3 - Issued capital following changes

Following thecessation of the +securities the subject of this notification, the issued capital of the entity will comprise:

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The figures in parts 3.1 and 3.2 below are automatically generated and may not reflect the entity’s current issued capital if other Appendix 2A, Appendix 3G or Appendix 3H forms are currently with ASX for 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	9,127,370,686
ATHO : OPTION EXPIRING 31-AUG-2026	932,611,269
ATHOA : OPTION EXPIRING 26-FEB-2027	1,222,300,911

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

ASX +security code and description	Total number of +securities on issue
ATHAAE : OPTION EXPIRING 29-NOV-2026 EX $0.0375	10,000,000
ATHAAG : OPTION EXPIRING 29-NOV-2026 EX $0.0238	11,500,000
ATHAAB : OPTION EXPIRING 17-SEP-2025 EX $0.09	35,000,000
ATHAAK : OPTION EXPIRING 30-DEC-2027 EX $0.01	170,000,000
ATHAAH : OPTION EXPIRING 19-DEC-2026 EX $0.0105	8,000,000
ATHAB : OPTION EXPIRING 13-MAR-2029 EX US$0.0031	62,500,000
ATHAA : OPTION EXPIRING 13-MAR-2029 EX $0.004	20,166,667
ATHAC : OPTION EXPIRING 21-MAR-2029 EX US$0.003	120,000,000
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 time to time. The table will not include those classes of +securities that have ceased or lapsed in their entirety in ASX records before the announcement 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.

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