The Lithuanian genitive case is a category of complex semantics that consists of many interrelated meanings: possession, quantity, goal, material and many others. However, the present explorations of the Lithuanian genitive case have been carried out according to different theories, thus now Lithuanian linguistics lacks a comprehensive and consistent analysis. Therefore, the aim of this article is to review the findings of the existing Lithuanian genitive case researches, compare meaning descriptions of the Lithuanian genitive case provided therein and, having regard to the most important Cognitive Grammar principles, to provide critical insights why it would be important and significant to explore the genitive case according to the Cognitive Grammar principles, which have been being actively applied in foreign linguistics for the last two decades.