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

INFORMATION CONTAINED IN THIS FORM 6-K REPORT

Attached hereto as Exhibit 99.1 is a press release of FLEX LNG Ltd. (the “Company”), dated September 20, 2024, announcing that the Company has received mandatory notification of trades with respect to shares by persons discharging managerial responsibilities. This notification has been publicly disclosed in accordance with Article 19 of the Market Abuse Regulation section 5-12 of the Norwegian Securities Trading Act.

Attached hereto as Exhibit 99.2 are the details regarding the mandatory notification of trades with respect to shares by persons discharging managerial responsibilities.

The information contained in Exhibit 99.1 and the information contained in Exhibit 99.2, excluding the commentary of Ola Lorenzton, attached to this Report on Form 6-K is hereby incorporated by reference into the Company’s Registration Statement on Form F-3 (File No. 333-268367) with an effective date of December 7, 2022,  the Company's Registration Statement on Form F-3 (File No. 333-259962) with an effective date of October 14, 2021 and the Company’s Registration Statement on Form S-8 (File No. 333-275460) with an effective date of November 9, 2023.

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.

Date: September 23, 2024