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Summary of Significant Accounting Policies - Reconciliation of Numerators and Denominators used in Computing Basic and Diluted Net Income Per Share (Detail) - USD ($)
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Accounting Policies [Abstract]    
Net income (loss) attributable to Odyssey Marine Exploration, Inc. $ 15,657,934 $ 5,345,819
Numerator:    
Basic net income (loss) available to stockholders 15,657,934 5,345,819
Change in fair value of Equity Exchange Agreement and loss on equity method investment [1] (6,358,401) 0
Fair value change of warrants (7,408,743) (4,811)
Diluted net income (loss) available to stockholders $ 1,890,790 $ 5,341,008
Denominator:    
Weighted average common shares outstanding - Basic 20,977,521 19,943,633
Dilutive effect of options 95,006 5,557
Dilutive effect of other derivative instruments [1] 3,871,880 0
Dilutive effect of warrants 3,432,542 169,687
Weighted average common shares outstanding - Diluted 28,376,949 20,118,877
Net income (loss) per share:    
Basic $ 0.75 $ 0.27
Diluted $ 0.07 $ 0.27
[1] As further discussed in Note 5, Investment In Unconsolidated Entities, the Equity Exchange Agreement expired on January 3, 2025. As a result, the numerator and denominator adjustments related to the Equity Exchange Agreement will not have an effect on diluted earnings per share on any subsequent period.