The issue of the article is to acquaint researchers with new methods of studying geopolitics on a strict quantitative scientifically grounded basis. The relevance of this topic is confirmed by the general growth of interest in geopolitical topics in scientific publications, but for the most part these publications are characterized by speculative argumentation and a superficial vision of geographic space. The review article intends to systematize modern theoretical knowledge about geopolitics, to present domestic methodological developments in this area. In the 1990 s, there was a search for conceptual schemes for a quantitative or qualitative analysis of geopolitical relations and acquaintance with foreign trends in geopolitics and methods of argumentation. Since the 2000 s in the latest methodology of geopolitics, 4 generalized directions are distinguished: geopolitics in geographical interpretation, which considers geopolitical processes through the prism of objective spatial data, and uses the geographic scientific base and theories of domestic economic and theoretical geography in the argument, the second is the geo-economic branch, which is based on the achievements of economic science in the mathematization of scientific knowledge, the third is critical geopolitics, which implies a quantitative and qualitative analysis of political discourse, geopolitical images and ideas about the place of a country (region) in the world, the fourth is geopolitical mathematical modeling. In general, the identified areas are not opposed to each other, but have pronounced accents and their own pool of studies, recognized as «classical», included in the foundation of scientific constructions, and there is also an interpenetration and unification of methods for quantitative analysis of geopolitical studies. The article is addressed in order to consolidate knowledge about geopolitics, to interpenetrate the developed methods in this area and stimulate interdisciplinary approaches.