UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN PRIVATE ISSUER

PURSUANT TO RULE 13a-16 OR 15d-16

OF THE SECURITIES EXCHANGE ACT OF 1934

For the month of December 2025

Commission File Number 001-42254

Rezolve AI plc

(Translation of registrant’s name into English)

21 Sackville Street

London, W1S 3DN

United Kingdom

(Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports under cover of Form 20-F or Form 40-F.

Form 20-F  ☒ Form 40-F  ☐

INFORMATION CONTAINED IN THIS REPORT ON FORM 6-K

The information included in this Report on Form 6-K (including Exhibits 99.1, 99.2 and 99.3) is hereby incorporated by reference into the Company’s Registration Statements on Forms F-3 (File Nos. 333-290523, File No. 333-290639, and File No. 333-291842) and Form S-8 (File No. 333-284174) (including any prospectuses forming a part of such registration statements) and to be a part thereof from the date on which this Report on Form 6-K is furnished, to the extent not superseded by documents or reports subsequently filed or furnished.

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 hereunto duly authorized.

Dated: December 15, 2025

REZOLVE AI PLC