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

UNDER THE SECURITIES EXCHANGE ACT OF 1934

For the month of September 2023

Commission File Number: 001-41625

Cool Company Ltd.
(Translation of registrant's name into English)

2nd floor, S.E. Pearman Building
9 Par-la-Ville Road
Hamilton HM11
Bermuda
(Address of principal executive office)

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 [ X ] Form 40-F [ ]

On September 15, 2023, the Registrant issued a press release, a copy of which is attached hereto as Exhibit 99.1 and is incorporated herein by reference.

(c) Exhibit 99.1. Press release dated September 15, 2023

SIGNATURES

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.

	Cool Company Ltd.
	(Registrant)


Date: September 15, 2023	/s/ Richard Tyrrell
	Richard Tyrrell
	Chief Executive Officer

Exhibit 99.1

Cool Company Ltd. – Notice of Annual General Meeting 2023

HAMILTON, Bermuda--(BUSINESS WIRE)--September 15, 2023--Cool Company Ltd. (the “Company”) (NYSE: CLCO / CLCO.OL) advises that its 2023 Annual General Meeting will be held on November 29, 2023 in Bermuda. The record date for voting at the Annual General Meeting is set to September 26, 2023.

A copy of the notice and associated information will be distributed to shareholders by normal distribution methods prior to the meeting and will also be made available on the Company’s website at http://www.coolcoltd.com.

This information is subject to the disclosure requirements pursuant to section 5 -12 of the Norwegian Securities Trading Act.