Despite the existence of legal regulations, which define and prohibit committing war crimes, genocide and crimes against humanity, despite numerous treaties, conventions and protocols being in force, which ban to use such kinds of arms as poison gas or biological weapon, as well as despite the functioning of ad hoc international criminal courts, a unified system of executing those norms and permanent ability to call to criminal account persons guilty of violating the law visibly lacked for a very long time. This was the aim of establishing the International Criminal Court at the turn of XX and XXI centuries. The hereby paper aims at presenting and analyzing the legal regulations determining its position, organization and the main principles of its functioning. Moreover, the Author attempted to estimate the effectiveness of its hitherto activity. The subject of the study is the origin of the International Criminal Court, the legal grounds of its organization and functioning, its status and international law position, its composition and internal structure, its competences from the perspective of an object and a subject, as well as the rules of procedure taking place before it.