- 1 DANAOS CORPORATION THIS PROXY IS BEING SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS Proxy card for use at the 2020 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 31, 2020 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 all the nominees 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) 14475 1.1 COMMENTS:

ANNUAL MEETING OF STOCKHOLDERS OF DANAOS CORPORATION July 31, 2020 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. 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. Please detach along perforated line and mail in the envelope provided. 20230000000000000000 0 073120 2. Ratification of appointment of PricewaterhouseCoopers S.A. WILL BE VOTED FOR THE ELECTION OF THE NOMINEES TO THE BOARD 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. THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF EACH OF THE NOMINEES 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 1. Election of each of the directors listed below to hold office for three years and until such directors’ respective successor is elected and qualified. NOMINEES: FOR ALL NOMINEESO Anthony Kandylidis O Iraklis Prokopakis WITHHOLD AUTHORITY FOR ALL NOMINEES FOR ALL EXCEPT (See instructions below) INSTRUCTIONS: To withhold authority to vote for any individual nominee(s), mark “FOR ALL EXCEPT” and fill in the circle next to each nominee you wish to withhold, as shown here: FOR AGAINST ABSTAIN as the Company's independent auditors for the year ending December 31, 2020. PLEASE INDICATE WITH AN "X" IN THE APPROPRIATE SPACE HOW YOU WISH YOUR SHARES TO BE VOTED. IF NO INDICATION IS GIVEN, PROXIES 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. 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. Signature of Stockholder Date: Signature of StockholderDate:

ANNUAL MEETING OF STOCKHOLDERS OF DANAOS CORPORATION July 31, 2020 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 PMESTthe day before the meeting. MAIL - Sign, date and mail your proxy card in the envelope provided as soon as possible. INPERSON - 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. Please detach along perforated line and mail in the envelope provided IF you are not voting via telephone or the Internet. 20230000000000000000 0 073120 2. Ratification of appointment of PricewaterhouseCoopers S.A. WILL BE VOTED FOR THE ELECTION OF THE NOMINEES TO THE BOARD 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. THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF EACH OF THE NOMINEES 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 1. Election of each of the directors listed below to hold office for three years and until such directors’ respective successor is elected and qualified. NOMINEES: FOR ALL NOMINEESO Anthony Kandylidis O Iraklis Prokopakis WITHHOLD AUTHORITY FOR ALL NOMINEES FOR ALL EXCEPT (See instructions below) INSTRUCTIONS: To withhold authority to vote for any individual nominee(s), mark “FOR ALL EXCEPT” and fill in the circle next to each nominee you wish to withhold, as shown here: FOR AGAINST ABSTAIN as the Company's independent auditors for the year ending December 31, 2020. PLEASE INDICATE WITH AN "X" IN THE APPROPRIATE SPACE HOW YOU WISH YOUR SHARES TO BE VOTED. IF NO INDICATION IS GIVEN, PROXIES 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. 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. Signature of Stockholder Date: Signature of StockholderDate: 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 COMPANY NUMBER ACCOUNT NUMBER PROXY VOTING INSTRUCTIONS

Important Notice of Availability of Proxy Materials for the Stockholder Meeting of DANAOS CORPORATION To Be Held On July 31, 2020 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. 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 07/17/20. 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 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. TO VOTE: independent auditors for the year ending December 31, 2020. THE NOMINEES FOR DIRECTOR AND “FOR” PROPOSAL 2. 1. Election of each of the directors listed below to hold office for three years and until such directors’ respective successor is elected and qualified. NOMINEES: Anthony Kandylidis Iraklis Prokopakis Please note that you cannot use this notice to vote by mail. 2. Ratification of appointment of PricewaterhouseCoopers S.A. as the Company's THE BOARD OF DIRECTORS RECOMMENDS A VOTE “FOR” THE ELECTION OF EACH OF COMPANY NUMBER ACCOUNT NUMBER CONTROL NUMBER

*** Exercise Your Right to Vote *** Important Notice Regarding the Availability of Proxy Materials for the Shareholder Meeting to Be Held on July 31, 2020 DANAOS CORPORATION Date: July 31, 2020 Time: 10:00 AM LST You are receiving this communication because you hold shares in the above named company. This is not a ballot. You cannot use this notice to vote these shares. This communication presents only an overview of the more complete proxy materials that are available to you on the Internet. You may view the proxy materials online at www.proxyvote.com or easily request a paper copy (see reverse side). We encourage you to access and review all of the important information contained in the proxy materials before voting. Envelope # # of # Sequence # 1 OF 2 12 15 0000470921_1 R1.0.1.18 Broadridge Internal Use Only Job # Sequence # See the reverse side of this notice to obtain proxy materials and voting instructions. LOGO Return Address Line 1 Return Address Line 2 Return Address Line 3 51 MERCEDES WAY EDGEWOOD NY 11717 Investor Address Line 1 Investor Address Line 2 Investor Address Line 3 Investor Address Line 4 Investor Address Line 5 John Sample 1234 ANYWHERE STREET ANY CITY, ON A1A 1A1 1234567 1234567 1234567 1234567 1234567 1234567 BROKER HERE Meeting Information Meeting Type: Annual Meeting For holders as of: June 08, 2020 Location: 14 Akti Kondyli 185 45 Piraeus Greece B A R C O D E

Before You Vote How to Access the Proxy Materials Proxy Materials Available to VIEW or RECEIVE:  Have the information that is printed in the box marked by the arrow (located on the  by the arrow (located on the following page) in the subject line. How To Vote Please Choose One of the Following Voting Methods Only Vote By Mail: You can vote by mail by requesting a paper copy of the materials, which will include a voting instruction form. 0000470921_2 R1.0.1.18 Vote In Person: 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. Many shareholder meetings have attendance requirements including, but not limited to, the possession of an attendance ticket issued by the entity holding the meeting. Please check the meeting materials for any special requirements for meeting attendance. Vote By Internet: To vote now by Internet, go to www.proxyvote.com. Have the information that is printed in the box marked by the arrow available and follow the instructions. Internal Use 1. Annual Report2. Notice & Proxy Statement How to View Online: following page) and visit: www.proxyvote.com. How to Request and Receive a PAPER or E-MAIL Copy: If you want to receive a paper or e-mail copy of these documents, you must request one. There is NO charge for requesting a copy. Please choose one of the following methods to make your request: 1) BY INTERNET:www.proxyvote.com 2) BY TELEPHONE:1-800-579-1639 3) BY E-MAIL*:sendmaterial@proxyvote.com * If requesting materials by e-mail, please send a blank e-mail with the information that is printed in the box marked Requests, instructions and other inquiries sent to this e-mail address will NOT be forwarded to your investment advisor. Please make the request as instructed above on or before July 17, 2020 to facilitate timely delivery.

The Board of Directors recommends that you vote FOR the following: 1. Election of Directors Nominees 01 Anthony Kandylidis 02 Iraklis Prokopakis The Board of Directors recommends you vote FOR the following proposal(s): 2 Ratification of appointment of PricewaterhouseCoopers S.A. as the Company's independent auditors for the year ending December 31, 2020. xxxxxxxxxx Cusip Envelope # # of # Sequence # 0000470921_3 R1.0.1.18 Broadridge Internal Use Only xxxxxxxxxx Job # Sequence # B A R C O D E 23456789012 2 2 2 2 12345678901 12345678901 12345678901 12345678901 12345678901 12345678901 12345678901 12345678901 12345678901 12345678901 Voting items

Enve1lo2pe # # 0000470921_4 R1.0.1.18 Broadridge Internal Use Only THIS SPACE RESERVED FOR SIGNATURES IF APPLICABLE P99999Jo-0b1#0 Sequ1e5nce # of # S#eqOueFnce ## THIS SPACE RESERVED FOR LANGUAGE PERTAINING TO BANKS AND BROKERS AS REQUIRED BY THE NEW YORK STOCK EXCHANGE Voting Instructions Reserved for Broadridge Internal Control Information

Enve1lo2pe # # 0000470921_4 R1.0.1.18 Broadridge Internal Use Only THIS SPACE RESERVED FOR SIGNATURES IF APPLICABLE P99999Jo-0b1#0 Sequ1e5nce # of # S#eqOueFnce ## THIS SPACE RESERVED FOR LANGUAGE PERTAINING TO BANKS AND BROKERS AS REQUIRED BY THE NEW YORK STOCK EXCHANGE Voting Instructions Reserved for Broadridge Internal Control Information