This prospectus supplement is being filed to update, amend and supplement the information contained in the prospectus datedMarch 13, 2026 (as supplemented or amended from time to time, the “Prospectus”), which forms a part of our Registration Statementon Form F-1 (Registration Statement No. 333-294110), with the information contained in our report on Form 6-K filed with theSecurities and Exchange Commission on June 9, 2026. The Prospectus relates to the sale from time to time of up to 9,811,933 common shares, par value $0.001 per share (“CommonShares”) of Icon Energy Corp., incorporated under the laws of the Marshall Islands, by YA II PN, Ltd., a Cayman Islands exemptlimited company. This prospectus supplement updates, amends and supplements the information in the Prospectus and is not complete without, andmay not be delivered or utilized except in combination with, the Prospectus, including any amendments or supplements thereto. Thisprospectus supplement should be read in conjunction with the Prospectus and if there is any inconsistency between the information inthe Prospectus and this prospectus supplement, you should rely on the information in this prospectus supplement. Our Common Shares are currently listed on The Nasdaq Capital Market under the symbol “ICON.” On June 8, 2026, the lastreported sales price of our Common Shares was $1.09 per share. Investing in our securities involves a high degree of risk. You should carefully review the risks and uncertainties describedin the section titled “Risk Factors” beginning on page 7 of the Prospectus, and under similar headings in any amendments orsupplements to the Prospectus. Neither the U.S. Securities and Exchange Commission nor any state securities commission has approved or disapproved ofthese securities or determined if the Prospectus or this prospectus supplement is truthful or complete. Any representation tothe contrary is a criminal offense. The date of this prospectus supplement is June 9, 2026. UNITED STATESSECURITIES AND EXCHANGE COMMISSIONWashington, D.C. 20549 Form 6-K REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 OR 15d-16UNDER THE SECURITIES EXCHANGE ACT OF 1934 For the month of June 2026 Commission File Number: 001-42174 Icon Energy Corp.(Translation of registrant’s name into English) c/o Pavimar Shipping Co.17th km National RoadAthens-Lamia & Foinikos Str.14564, Nea KifissiaAthens, Greece+30 211 88 81 300(Address of principal executive office) Indicate by check mark whether the registrant files or will file annual reportsunder cover of Form 20-F or Form 40-F: Form 20-F☒Form 40-F☐ INFORMATION CONTAINED IN THIS FORM 6-K REPORT Attached to this report on Form 6-K (this “Report”) asExhibit 99.1andExhibit 99.2are the unaudited interim condensedconsolidated financial statements and related management’s discussion and analysis of financial condition and results of operations ofIcon Energy Corp. (the “Company”) as of March 31, 2026, and for the three-month period then ended. Furthermore, on June 9, 2026, the Company issued a press release entitled “Icon Energy Corp. Announces Investment in aLong-Term Chartered Containership.” A copy of this press release is furnished asExhibit 99.3herewith. Additionally, on June 5, 2026, the Company and Pavimar Shipping Co. (“Pavimar”) executed a new agreement (the “MasterManagement Agreement”) to supersede and expand upon the existing arrangements to reflect the level of commitment, resources, andoperational involvement the Company anticipates from Pavimar. The Master Management Agreement is retroactively effective fromApril 1, 2026, being the date the Company’s Board of Directors approved entering into such agreement with all prior services andmanagement agreements being terminated and with all termination fees and other amounts otherwise payable in connection with suchterminations being waived. Pursuant to the Master Management Agreement and under the Company’s direction, Pavimar provides theCompany with a range of corporate management and administration services (the “Corporate Services”), including, but not limited to,accounting, representation, tax administration, clerical and secretarial support, corporate officer services (including the services of ourChief Executive Officer, Chief Financial Officer and Corporate Secretary), third party professional services coordination, investmentadministration, financial advisory and treasury services. In exchange for the Corporate Services, unless otherwise agreed on a case bycase basis, Pavimar charges a quarterly fee of $25,000 per vessel plus $125,000 for the group as a whole, a 1.00% capital raisingcommission on all gross capital raised by the Company in capital and debt markets, an annual investment administration fee equal to1.00% of the net asset value of the Company’s passive investments, and a contingent fee equal to 15% of realized net profits, if any,from the Company’s passive investments. In addition, Pavimar provides the Company