The Rohingya people are the native inhabitants of Arakan (Rakhine) land in Myanmar, who have faced a series of crimes by the Myanmar army and government. Based on the norms and regulations of International and customary International Law and the principles of International criminal Law and considering the incidents that occurred against the religious minority group of Rohingya Muslims, the continuous violation of human rights and the occurrence of the crime of genocide by the Myanmar government are a matter of fact. There are numerous examples of deliberate actions, which prove the governmental steps to eliminate the Rohingya group, and deliberate measures, which cause the International Responsibility of the Myanmar government. Iran has raised three specific positions regarding the Rohingya Muslim crisis.The major question of the research is to evaluate the occurrence or non-occurrence of violations of International criminal Law, the crimes of genocide, and crimes against humanity by the Myanmar army and government against the Muslim minority in Rakhine State.The hypothesis emphasizes the definite occurrence of violations of humanitarian Law and International criminal Law, especially committing crimes of genocide and crimes against humanity. The purpose of the research is to examine one of the important cases of violation of Muslim rights in today's world, which has not been noticed by International legal societies. It tries to discuss briefly the Iranian positions on the Issue. The analytical-descriptive research method is based on official docs and undeniable facts, especially the documents issued by the International Criminal Court.