6-K

UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TORULE 13a-16 OR

15d-16 UNDER THE SECURITIES EXCHANGE ACT OF1934

For the month of January 2026

Commission File Number 001-33060

DANAOS CORPORATION

(Translation of registrant’s name into English)

Danaos Corporation

c/o Danaos Shipping Co. Ltd.

14 Akti Kondyli

185 45 Piraeus

Greece

Attention: Secretary

011 030 210 419 6480

(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 ¨

INFORMATION CONTAINEDIN THIS FORM 6-K REPORT

Attached to this report on Form 6-K as Exhibit 99.1 is a copy of the press release of Danaos Corporation, dated January 20, 2026, announcing a strategic partnership with Glenfarne Group to advance the Alaska LNG Project.

EXHIBIT INDEX

99.1 Press release issued by Danaos Corporation on January 20, 2026, furnished herewith as Exhibit 99.1.

*****

This report on Form 6-K is hereby incorporated by reference into the Company’s (i)  Registration Statement on Form F-3 (Reg. No. 333-237284) filed with the SEC on March 19, 2020, (ii) the post effective Amendment to Form F-1 in the Registration Statement on Form F-3 (Reg. No. 333-226096) filed with the SEC on March 6, 2019, (iii) Registration Statement on Form F-3 (Reg. No. 333-174494) filed with the SEC on May 25, 2011, (iv) Registration Statement on Form F-3 (Reg. No. 333-147099), the related prospectus supplements filed with the SEC on December 17, 2007, January 16, 2009 and March 27, 2009, (v) Registration Statement on Form S-8 (Reg. No. 333-233128) filed with the SEC on August 8, 2019 and the reoffer prospectus, dated August 8, 2019, contained therein, (vi) Registration Statement on Form S-8 (Reg. No. 333-138449) filed with the SEC on November 6, 2006 and the reoffer prospectus, dated November 6, 2006, contained therein, (vii) Registration Statement on Form F-3 (Reg. No. 333-169101) filed with the SEC on October 8, 2010, (viii) Registration Statement on Form F-3 (Reg. No. 333-255984) filed with the SEC on May 10, 2021 and (ix) Registration Statement on Form F-3 (Reg. No. 333-270457) filed with the SEC on March 10, 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.

Date: January 20, 2026

Exhibit99.1

DanaosCorporation Announces Strategic Partnership with Glenfarne Group to advance the Alaska LNG Project.

January 20, 2026

ATHENS, Greece, January 20, 2026 /PRNewswire/ -- Danaos Corporation, one of the world's largest independent owners of containerships, (the "Company") (NYSE: DAC) announced today a strategic partnership with Glenfarne Group LLC ("Glenfarne Group") to advance the Alaska LNG project.

More specifically, Danaos Corporation will make a $50 million development capital equity investment in Glenfarne Alaska Partners LLC while it will also be the preferred tonnage provider to construct and operate at least six LNG carriers to deliver LNG to global customers for Glenfarne Alaska LNG, LLC, majority owner and developer of the Alaska LNG Project.

Glenfarne is developing Alaska LNG in two financially independent phases to accelerate project execution. Phase One consists of a 765-mile, 42-inch pipeline to transport natural gas from Alaska’s North Slope to meet Alaska’s domestic energy needs. Phase Two will add the LNG liquefaction terminal and related infrastructure to export 20 million tonnes per annum (MTPA) of LNG.

Glenfarne became lead developer of Alaska LNG in March 2025. Since then, Glenfarne has secured preliminary commercial commitments from leading LNG buyers in Japan, Korea, Taiwan, and Thailand for 11 MTPA of LNG, and strategic partnerships that also include Baker Hughes and POSCO International. Glenfarne owns 75% of Alaska LNG and the Alaska Gasline Development Corporation owns 25%.

Glenfarne Group is a privately held global developer, owner, and operator of energy infrastructure assets that owns and operates over 60 energy assets through three core businesses: Global LNG Solutions, Grid Stability, and Renewables. Glenfarne’s permitted North American LNG portfolio totals 32.8 MTPA of capacity under development in Alaska, Louisiana, and Texas.

Danaos Chief Executive Officer Dr. John Coustas commented: "As Alaska LNG opens up a major new source of North Pacific energy, Danaos is pleased to offer our shipping expertise to reliably serve customers across the region and around the world with safe, competitive LNG delivery. This transaction provides us with an opportunity to expand on our expertise in global seaborne transportation and expand the footprint of Danaos in the LNG and Energy segments."

AboutDanaos Corporation

Danaos Corporation is one of the largest independent owners of modern, large-size container vessels. Our current fleet of 75 container vessels aggregating 477,491 TEUs and 25 under construction container vessels aggregating 163,950 TEUs ranks Danaos among the largest container vessels charter owners in the world based on total TEU capacity. Danaos has also invested in the dry bulk sector with the acquisition of 11 capesize drybulk vessels, which on a fully delivered basis, aggregate approximately 1,943,286 DWT. Our container vessels fleet is chartered to many of the world's largest liner companies on fixed-rate charters. Our long track record of success is predicated on our efficient and rigorous operational standards and environmental controls. Danaos Corporation's shares trade on the New York Stock Exchange under the symbol "DAC".

Visitour website at www.danaos.com

Company:EvangelosChatzis Chief Financial Officer Danaos Corporation Athens, Greece Tel.: +30 210 419 6480 E-Mail: cfo@danaos.com

InvestorRelations and Financial Media Rose & Company New York Tel. 212-359-2228 E-Mail: danaos@rosecoglobal.com