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 October 2025
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 CONTAINED
IN 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 October 9, 2025, announcing the pricing of $500
million of 6.875% Senior Notes due 2032 in a private offering exempt from the registration requirements under the U.S. Securities Act
of 1933, as amended.
EXHIBIT INDEX
99.1
Press release issued by Danaos Corporation on October 9, 2025, furnished herewith as Exhibit 99.1.
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: October 9, 2025
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DANAOS
CORPORATION |
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By: |
/s/
Evangelos Chatzis |
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Name: |
Evangelos
Chatzis |
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Title: |
Chief
Financial Officer |