Exhibit 99.1 NEWS RELEASE KOSMOS ENERGY ANNOUNCES FIRST QUARTER 2024 RESULTS DALLAS--(BUSINESS WIRE)—May 7, 2024-- Kosmos Energy Ltd. (“Kosmos” or the “Company”) (NYSE/LSE: KOS) announced today its financial and operating results for the first quarter of 2024. For the quarter, the Company generated a net income of $92 million, or$0.19 per diluted share. When adjusted for certain items that impact the comparability of results, the Company generated an adjusted net income(1) of $99 million, or$0.21 per dilu ...