The UN has repeatedly condemned Russian aggression and attempts to illegally annex Ukrainian territory, recognized the act of aggression by the Russian Federation against Ukraine (resolutions "Aggression against Ukraine" dated March 2, 2022, "Territorial integrity of Ukraine: protection of the principles of the UN Charter" dated October 7, 2022). Despite the open condemnation of the policy of the Russian Federation and its invasion of the territory of an independent state by the civilized world, the aggressor country continues to pursue its cruel goals, which contradict any prescriptions of international law and international humanitarian law. Every day, the rights of the civilian population, enshrined in the Geneva Conventions, are demonstrably violated through constant mass attacks, the targets of which are precisely the objects of civilian infrastructure. The international legal community is incredibly determined to ensure the possibility of bringing the Russian Federation to justice for crimes committed on the territory of Ukraine. The article analyzes the forms of material and non-material responsibility that are applied and can be applied to the Russian Federation as an aggressor state, the practice of applying sanctions, the requirements of the claims of Ukraine against the Russian Federation submitted to international jurisdictional bodies (the UN International Court of Justice, the International Tribunal for the Law of the Sea , of the European Court of Human Rights), the content and consequences of the decisions made. It is concluded that the appeal to international jurisdictional institutions does not concern the establishment of the fact of aggression by the Russian Federation, the resolution of the issue of the form and extent of the responsibility of the aggressor state. It is proved that the order of the International Court of Justice of the United Nations on the application of temporary measures is mandatory according to international law, which imposes clear legal obligations on the states-parties of the dispute and the violation of which "presupposes the obligation to make compensation in the appropriate form". The issues of state execution of the order and compensation in the proper form are considered by the Court in the decision on the merits of the case. The impossibility of preventing military aggression against Ukraine, the partial limitation of this state through the application of sanctions, give reasons to believe that the available methods and mechanisms of international legal responsibility are insufficient. That is why, at the diplomatic level, Ukraine should create new ways of limiting and holding Russia as a state and its individual citizens involved in the leadership and execution of crimes committed on the territory of Ukraine accountable. Key words: state, state functions, martial law, responsibility, coercive measures, security, armed conflict, sanctions.