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 ~~March~~May 2026 Commission File Number: 001-38904 FLEX LNG Ltd. (Translation of registrant's name into English) Par-La-Ville Place 14 Par-La-Ville Road Hamilton Bermuda (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

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Form 40-F

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INFORMATION CONTAINED IN THIS FORM 6-K REPORT

Attached hereto as Exhibit 99.1 is a ~~copy of the~~ press release ~~issued~~of by FLEX LNG Ltd. (the "“Company"”), dated ~~March~~May 2513, 2026, announcing athe ~~new~~Company’s ~~contract~~unaudited financial results for ~~Flex~~the ~~Aurora.~~first quarter and for the three months ended March 31, 2026.

The information contained in Exhibit 99.1, excluding the commentary of Marius Foss, attached to this Report on Form 6-K is hereby incorporated by reference into the Company's Registration Statement on Form F-3ASR (File No. 333-282473) with an effective date of October 2, 2024 ~~and the Company’s Registration Statement on Form S-8 (File No~~. ~~333-275460) with an effective date of November 9, 2023.~~

FORWARD-LOOKING STATEMENTS

Matters discussed in this press release may constitute forward-looking statements. The Private Securities Litigation Reform Act of 1995 provides safe harbor protections for forward-looking statements in order to encourage companies to provide prospective information about their business. Forward-looking statements include statements concerning plans, objectives, goals, strategies, future events or performance, and underlying assumptions and other statements, which are other than statements of historical facts. The Company desires to take advantage of the safe harbor provisions of the Private Securities Litigation Reform Act of 1995 and is including this cautionary statement in connection with this safe harbor legislation. The words “believe,” “expect,” “forecast,” “anticipate,” “aim,” “commit,” “estimate,” “intend,” “plan,” “possible,” “potential,” “pending,” “target,” “project,” “likely,” “may,” “will,” “would,” “should,” “could” and similar expressions identify forward-looking statements.

The forward-looking statements in this press release are based upon various assumptions, many of which are based, in turn, upon further assumptions, including without limitation, management’s examination of historical operating trends, data contained in the Company’s records and other data available from third parties. Although management believes that these assumptions were reasonable when made, because these assumptions are inherently subject to significant uncertainties and contingencies which are difficult or impossible to predict and are beyond the Company’s control, there can be no assurance that the Company will achieve or accomplish these expectations, beliefs or projections. As such, these forward-looking statements are not guarantees of the Company’s future performance, and actual results and future developments may vary materially from those projected in the forward-looking statements. The Company undertakes no obligation, and specifically declines any obligation, except as required by applicable law or regulation, to publicly update or revise any forward-looking statements, whether as a result of new information, future events or otherwise. New factors emerge from time to time, and it is not possible for the Company to predict all of these factors. Further, the Company cannot assess the effect of each such factor on its business or the extent to which any factor, or combination of factors, may cause actual results to be materially different from those contained in any forward-looking statement.

In addition to these important factors, other important factors that, in the Company’s view, could cause actual results to differ materially from those discussed in the forward-looking statements include: unforeseen liabilities, future capital expenditures, the strength of world economies and currencies, inflationary pressures and central bank policies intended to combat overall inflation and rising interest rates and foreign exchange rates, general market conditions, including fluctuations in charter rates and vessel values, changes in demand in the LNG tanker market, the Company’s business strategy and expected and unexpected capital spending and operating expenses, including drydocking, surveys, repairs, upgrades, insurance costs and bunker costs, the fuel efficiency of the Company’s vessels, the market for the Company’s vessels, availability of financing and refinancing, ability to comply with covenants in such financing arrangements, failure of counterparties to fully perform their contracts with the Company, changes in governmental rules and regulations or actions taken by regulatory authorities, including those that may limit the commercial useful lives of LNG tankers, customers’ increasing emphasis on environmental and safety concerns, potential liability from pending or future litigation, global and regional economic and political conditions and developments, armed conflicts, including the war between Russia and Ukraine, and possible cessation of such war in Ukraine, the conflict between Israel and Hamas and related conflicts in the Middle East, the Houthi attack in the Red Sea and Gulf of Aden, threats by Iran to close the Strait of Hormuz, trade wars, tariffs, embargoes and strikes, the impact of restrictions on trade, including the imposition of new tariffs, port fees and other import restrictions by the United States on its trading partners and the imposition of retaliatory tariffs by China and the European Union on the United States, business disruptions, including supply chain disruption and congestion, due to natural or other disasters or otherwise, potential physical disruption of shipping routes due to accidents, climate-related incidents, public health threats or political events, potential cybersecurity or other privacy threats and data security breaches, vessel breakdowns and instances of offhire, and other factors, including those that may be described from time to time in the reports and other documents that the Company files with or furnishes to the U.S. Securities and Exchange Commission (“Other Reports”). For a more complete discussion of certain of these and other risks and uncertainties associated with the Company, please refer to the Other Reports.

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.


FLEX LNG Ltd. (registrant)
By:			/s/ Knut Traaholt
			Name: Knut Traaholt
			Title: Chief Financial Officer of Flex LNG Management AS (Principal Financial Officer of FLEX LNG Ltd.)

Date: ~~March~~May 2513, 2026

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