DANAOS CORPORATION THIS PROXY IS BEING SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS Proxy card for use at the 2023 Annual General Meeting or any adjournment or postponement thereof (the "Meeting") of Stockholders of Danaos Corporation, a Marshall Islands company (the "Company"), to be held on Friday, July 28, 2023 at 10:00 a.m. Greek local time, at the offices of the Company's manager, Danaos Shipping Co. Ltd., 14 Akti Kondyli in Piraeus, Greece 185 45. The person signing on the reverse of this card, being a holder of shares of common stock of the Company, hereby appoints as his/her/its proxy at the Meeting, Dr. John Coustas and Evangelos Chatzis, or either one of them acting alone, with full power of substitution, and directs such proxy to vote (or abstain from voting) at the Meeting all of his, her or its shares of common stock as indicated on the reverse of this card or, to the extent that no such indication is given, to vote as set forth herein, and authorizes such proxy to vote in his discretion on such other business as may properly come before the Meeting. Please indicate on the reverse of this card how the shares of common stock represented by this proxy are to be voted. If this card is returned duly signed but without any indication as to how the shares of common stock are to be voted in respect of any of the resolutions described on the reverse, the stockholder will be deemed to have directed the proxy to vote FOR the election of the nominee to the Board of Directors and FOR Proposal Two, the ratification of the appointment of the independent auditors, each as described below. (Continued and to be signed on the reverse side) 1 ------------------ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ---------------- 14475 COMMENTS: 1.1

ANNUAL MEETING OF STOCKHOLDERS OF DANAOS CORPORATION July 28, 2023 NOTICE OF INTERNET AVAILABILITY OF PROXY MATERIAL: The Notice of Meeting, Proxy Statement, Proxy Card and Annual Report are available at www.danaos.com/agm Please sign, date and mail your proxy card in the envelope provided as soon as possible. Signature of Stockholder Date: Signature of Stockholder Date: Note: Please sign exactly as your name or names appear on this Proxy. When shares are held jointly, each holder should sign. When signing as executor, administrator, attorney, trustee or guardian, please give full title as such. If the signer is a corporation, please sign full corporate name by duly authorized officer, giving full title as such. If signer is a partnership, please sign in partnership name by authorized person. To change the address on your account, please check the box at right and indicate your new address in the address space above. Please note that changes to the registered name(s) on the account may not be submitted via this method. 1. Election of the director listed below to hold office for three years and until such director's successor is elected and qualified. Iraklis Prokopakis 2. Ratification of appointment of Deloitte Certified Public Accountants, S.A. as the Company's independent auditors for the year ending December 31, 2023. PLEASE INDICATE WITH AN "X" IN THE APPROPRIATE SPACE HOW YOU WISH YOUR SHARES TO BE VOTED. IF NO INDICATION IS GIVEN, PROXIES WILL BE VOTED FOR THE ELECTION OF THE NOMINEE TO THE BOARD OF DIRECTORS AND FOR PROPOSAL TWO, THE RATIFICATION OF THE APPOINTMENT OF THE COMPANY’S INDEPENDENT AUDITORS, IN ACCORDANCE WITH THE RECOMMENDATION OF THE BOARD OF DIRECTORS. TO INCLUDE ANY COMMENTS, USE THE COMMENTS BOX ON THE REVERSE SIDE OF THIS CARD. FOR AGAINST ABSTAIN FOR THE NOMINEE WITHHOLD AUTHORITY FOR THE NOMINEE NOMINEE: THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF THE NOMINEE FOR DIRECTOR AND “FOR” PROPOSAL 2. PLEASE SIGN, DATE AND RETURN PROMPTLY IN THE ENCLOSED ENVELOPE. PLEASE MARK YOUR VOTE IN BLUE OR BLACK INK AS SHOWN HERE x Please detach along perforated line and mail in the envelope provided. ------------------ ---------------- 10030000000000000000 3 072823 GO GREEN e-Consent makes it easy to go paperless. With e-Consent, you can quickly access your proxy material, statements and other eligible documents online, while reducing costs, clutter and paper waste. Enroll today via www.astfinancial.com to enjoy online access.

Signature of Stockholder Date: Signature of Stockholder Date: Note: Please sign exactly as your name or names appear on this Proxy. When shares are held jointly, each holder should sign. When signing as executor, administrator, attorney, trustee or guardian, please give full title as such. If the signer is a corporation, please sign full corporate name by duly authorized officer, giving full title as such. If signer is a partnership, please sign in partnership name by authorized person. To change the address on your account, please check the box at right and indicate your new address in the address space above. Please note that changes to the registered name(s) on the account may not be submitted via this method. JOHN SMITH 1234 MAIN STREET APT. 203 NEW YORK, NY 10038 ANNUAL MEETING OF STOCKHOLDERS OF DANAOS CORPORATION July 28, 2023 INTERNET - Access “www.voteproxy.com” and follow the on-screen instructions or scan the QR code with your smartphone. Have your proxy card available when you access the web page. TELEPHONE - Call toll-free 1-800-PROXIES (1-800-776-9437) in the United States or 1-718-921-8500 from foreign countries from any touch-tone telephone and follow the instructions. Have your proxy card available when you call. Vote online/phone until 11:59 PM EST the day before the meeting. MAIL - Sign, date and mail your proxy card in the envelope provided as soon as possible. IN PERSON - You may vote your shares in person by attending the Annual Meeting. GO GREEN - e-Consent makes it easy to go paperless. With e-Consent, you can quickly access your proxy material, statements and other eligible documents online, while reducing costs, clutter and paper waste. Enroll today via www.astfinancial.com to enjoy online access. PROXY VOTING INSTRUCTIONS Please detach along perforated line and mail in the envelope provided IF you are not voting via telephone or the Internet. THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF THE NOMINEE FOR DIRECTOR AND “FOR” PROPOSAL 2. PLEASE SIGN, DATE AND RETURN PROMPTLY IN THE ENCLOSED ENVELOPE. PLEASE MARK YOUR VOTE IN BLUE OR BLACK INK AS SHOWN HERE x ------------------ ---------------- 10030000000000000000 3 072823 COMPANY NUMBER ACCOUNT NUMBER NOTICE OF INTERNET AVAILABILITY OF PROXY MATERIAL: The Notice of Meeting, Proxy Statement, Proxy Card and Annual Report are available at www.danaos.com/agm 1. Election of the director listed below to hold office for three years and until such director's successor is elected and qualified. Iraklis Prokopakis 2. Ratification of appointment of Deloitte Certified Public Accountants, S.A. as the Company's independent auditors for the year ending December 31, 2023. PLEASE INDICATE WITH AN "X" IN THE APPROPRIATE SPACE HOW YOU WISH YOUR SHARES TO BE VOTED. IF NO INDICATION IS GIVEN, PROXIES WILL BE VOTED FOR THE ELECTION OF THE NOMINEE TO THE BOARD OF DIRECTORS AND FOR PROPOSAL TWO, THE RATIFICATION OF THE APPOINTMENT OF THE COMPANY’S INDEPENDENT AUDITORS, IN ACCORDANCE WITH THE RECOMMENDATION OF THE BOARD OF DIRECTORS. TO INCLUDE ANY COMMENTS, USE THE COMMENTS BOX ON THE REVERSE SIDE OF THIS CARD. FOR AGAINST ABSTAIN FOR THE NOMINEE WITHHOLD AUTHORITY FOR THE NOMINEE NOMINEE:

1. Election of the director listed below to hold office for three years and until such director's successor is elected and qualified. Iraklis Prokopakis 2. Ratification of appointment of Deloitte Certified Public Accountants, S.A. as the Company's independent auditors for the year ending December 31, 2023. THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF THE NOMINEE FOR DIRECTOR AND “FOR” PROPOSAL 2. NOMINEE: This communication presents only an overview of the more complete proxy materials that are available to you on the Internet. We encourage you to access and review all of the important information contained in the proxy materials before voting. If you want to receive a paper or e-mail copy of the proxy materials you must request one. There is no charge to you for requesting a copy. To facilitate timely delivery please make the request as instructed below before 07/14/23. Please visit www.danaos.com/agm, where the following materials are available for view: • Notice of Annual Meeting of Stockholders • Proxy Statement • Form of Electronic Proxy Card • Annual Report TO REQUEST MATERIAL: TELEPHONE: 888-Proxy-NA (888-776-9962) or 718-921-8562 (for international callers) E-MAIL: info@astfinancial.com WEBSITE: https://us.astfinancial.com/proxyservices/requestmaterials.asp TO VOTE: ONLINE: To access your online proxy card, please visit www.voteproxy.com and follow the on-screen instructions or scan the QR code with your smartphone. You may enter your voting instructions at www.voteproxy.com up until 11:59 PM Eastern Time the day before the cut-off or meeting date. IN PERSON: You may vote your shares in person by attending the Annual Meeting. TELEPHONE: To vote by telephone, please visit www.voteproxy.com to view the materials and to obtain the toll free number to call. MAIL: You may request a card by following the instructions above. COMPANY NUMBER ACCOUNT NUMBER CONTROL NUMBER JOHN SMITH 1234 MAIN STREET APT. 203 NEW YORK, NY 10038 Please note that you cannot use this notice to vote by mail. Important Notice of Availability of Proxy Materials for the Stockholder Meeting of DANAOS CORPORATION To Be Held On July 28, 2023 at 10:00 a.m. Greek local time at the offices of the Company’s manager, Danaos Shipping Co. Ltd., 14 Akti Kondyli in Piraeus, Greece 185 45.

Get informed before you vote *If you choose to vote these shares in person at the meeting, you must request a “legal proxy.” To do so, please follow the instructions at www.ProxyVote.com or request a paper copy of the materials, which will contain the appropriate instructions. Please check the meeting materials for any special requirements for meeting attendance. Smartphone users Point your camera here and vote without entering a control number Your Vote Counts! FLASHID-JOB# For complete information and to vote, visit www.ProxyVote.com Control # Ricky Campana P.O. Box 123456 Suite 500 51 Mercedes Way Edgewood, NY 11717 148,294 322,224 1 OF 2 30# Hextone, Inc. P.O. Box 9142 Farmingdale, NY 11735 XXXX XXXX XXXX XXXX DANAOS CORPORATION 2023 Annual Meeting Vote by July 27, 2023 11:59 PM ET You invested in DANAOS CORPORATION and it's time to vote! You have the right to vote on proposals being presented at the Annual Meeting. This is an important notice regarding the availability of proxy material for the shareholder meeting to be held on July 28, 2023. View the Annual Report, Notice & Proxy Statement online OR you can receive a free paper or email copy of the material(s) by requesting prior to July 16, 2023. If you would like to request a copy of the material(s) for this and/or future shareholder meetings, you may (1) visit www.ProxyVote.com, (2) call 1-800-579-1639 or (3) send an email to sendmaterial@proxyvote.com. If sending an email, please include your control number (indicated below) in the subject line. Unless requested, you will not otherwise receive a paper or email copy. Vote in Person at the Meeting* July 28, 2023 10:00 AM LST At the offices of the Company's manager, Danaos Shipping Co. Ltd., 14 Akti Kondyli in Piraeus, Greece 185 45.

Voting Items Board Recommends THIS IS NOT A VOTABLE BALLOT This is an overview of the proposals being presented at the upcoming shareholder meeting. Please follow the instructions on the reverse side to vote these important matters. Vote at www.ProxyVote.com FLASHID-JOB# Control # XXXX XXXX XXXX XXXX 1.00000 322,224 148,294 Under New York Stock Exchange rules, brokers may vote “routine” matters at their discretion if your voting instructions are not communicated to us at least 10 days before the meeting. We will nevertheless follow your instructions, even if the broker’s discretionary vote has already been given, provided your instructions are received prior to the meeting date. DANAOS CORPORATION 2023 Annual Meeting Vote by July 27, 2023 11:59 PM ET 1. Election of Directors Nominees: 1A Iraklis Prokopakis For 2 Ratification of appointment of Deloitte Certified Public Accountants, S.A. as the Company's independent auditors for the year ending December 31, 2023. For NOTE: Such other business as may properly come before the meeting or any adjournment thereof.