This paper gives a brief review of the new methods of studying the impact craters morphology using real data from "Catalog of the Earth's Impact structures" (2057 events), presented at the site of the "Mathematical problems in Geophysics" laboratory of ICM&MG [1]. For the research it is offered to use one of independent versions of the geoinformation systems (GIS) for natural phenomena, named EISC-system (the Earth's Impact Structures Catalog) [2]. The new methods, allowing one to visually reveal a new structure thus refining its genesis, are presented. There are systematized and represented typical morphological elements of the structure of impact craters (astroblemes) which are urgent with their diagnostics.