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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 ($)
 3 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Accounting Policies [Abstract]    
Net income (loss) attributable to Odyssey Marine Exploration, Inc. $ 2,241,570 $ 3,498,024
Numerator:    
Basic net income (loss) available to stockholders 2,241,570 3,498,024
Loss on equity method investment (141,414) 0
Fair value change of debt instruments (1,600,826) (1,617,819)
Fair value change of warrants 0 (6,798,430)
Diluted net income (loss) available to stockholders $ 499,330 $ (4,918,225)
Denominator:    
Weighted average common shares outstanding - Basic 29,102,633 20,425,934
Dilutive effect of options 143,570 0
Dilutive effect of other derivative instruments 129,063 0
Dilutive effect of warrants 0 1,909,565
Dilutive effect of convertible debt instruments 12,241,147 4,322,601
Weighted average common shares outstanding - Diluted 41,616,413 26,658,100
Net income (loss) per share:    
Basic $ 0.08 $ 0.17
Diluted $ 0.01 $ (0.18)