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UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

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FORM 6-K

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REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 OR

15d-16 UNDER THE SECURITIES EXCHANGE ACT OF 1934

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For the month of August 2025

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Commission File Number 001-33060

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DANAOS CORPORATION

(Translation of registrant’s name into English)

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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)

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

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Form 20-F ☒ Form 40-F ☐

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AGM Results

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On August 1, 2025, at our annual meeting of stockholders, Mr. William Repko, Mr. Richard Sadler and Mr. Charalampos Pampoukis were each re-elected as a Class III director for a three-year term expiring at the annual meeting of our stockholders in 2028. Our stockholders also ratified the appointment of Deloitte Certified Public Accountants, S.A. as our independent auditors.

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EXHIBIT INDEX

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99.1 | Operating and Financial Review and Prospects and Condensed Consolidated Financial Statements (Unaudited) for the Three and Six Months Ended June 30, 2025.
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99.2 | Amended and Restated Management Agreement, dated August 1, 2025, between Danaos Corporation and Danaos Shipping Company Limited
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99.3 | Amended and Restated Brokerage Services Agreement, dated August 1, 2025, between Danaos Corporation and Danaos Chartering Services Inc.
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​ | 101.INS | Inline XBRL Instance Document
​ | 101.SCH | Inline XBRL Taxonomy Extension Schema Document
​ | 101.CAL | Inline XBRL Taxonomy Extension Calculation Linkbase Document
​ | 101.DEF | Inline XBRL Taxonomy Extension Definition Linkbase Document
​ | 101.LAB | Inline XBRL Taxonomy Extension Labels Linkbase Document
​ | 101.PRE | Inline XBRL Taxonomy Extension Presentation Linkbase Document

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*****

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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.

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SIGNATURES

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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.

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Date: August 5, 2025

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| DANAOS CORPORATION
| By: | /s/ Evangelos Chatzis
| Name: | Evangelos Chatzis
| Title: | Chief Financial Officer

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