This paper provides an analysis of the most important concepts and historical events related to the origin and development of conceptual determination of the crime of aggression. The crime of aggression represents one of the four most serious international crimes implicated in the Roman Statute, founding document of the International Criminal Court. It is the result of perennial work of the International Community and representation of the pursuit of establishment of jurisdiction of the Court for criminal prosecution of people that bear responsibility for committing a crime of aggression over another country's territory by the poison they retain and effective management capability. As an example of beginning of criminal responsibility an individual have got, the most important elements of the trial of Nazi war criminals in Nuremberg will be stated and it will allow the comparison to the current war conflict in Ukraine and the urge for the trial of responsible individuals for waging an aggressive war. The rule of law is one of fundamental values of every legal system including the international one and it proves the necessity of establishing authority of international judicial bodies.The crimes committed as a part of the russian invasion on Ukraine provoke the condemnation of the international community. With a daily effort, many legal, economic and political experts raise hope in the rest of the world with the statements that the war destruction set in 24th of February 2022 will see the end in the near future by establishing an ad hoc international criminal court with the jurisdiction over the crime of aggression, committed by the political or military leaders of Russian Federation.