The objective of this study was to determine species-associated differences in the seed proximate and fatty acid composition of three traditional oil crop species, hemp (Cannabis sativa), flax (Linum usitatissimum), and camelina (Camelina sativa), and the sowing season of camelina harvested under Lithuanian farming conditions for food use. Camelina seeds had the highest (p < 0.001) content of protein, oil, and sugar contents compared to both dehulled hemp and flax seeds. The amounts of protein and oil in camelina seeds were considerably increased by their summer cultivar, which showed higher (p < 0.001) contents of protein and oil than winter cultivars. However, the highest and lowest (p < 0.001) fiber content was found in flax seeds and camelina seeds, respectively. Camelina seeds showed considerably higher and lower (p < 0.001) proportions of total monounsaturated (MUFA) and polyunsaturated (PUFA) fatty acids, respectively, compared with hemp and flax. The summer cultivar of camelina had higher (p < 0.001) proportions of saturated (SFA) and MUFA and lower proportions of PUFA compared with winter cultivars. Hemp seeds had the highest and lowest (p < 0.001) proportions of PUFA and MUFA, respectively. The n-6/n-3 PUFA ratio in hemp seeds is optimal (3.79), whereas the use of flax and camelina seeds with their n-6/n-3 ratios of 0.28 and 0.48, respectively, can significantly improve this ratio in the overall diet. The properties of oil crop seeds showed that whole seeds of hemp, flax, and camelina are potentially highly beneficial to human health.