Focuses on the legal problems relating to the Convention on the Prevention and Punishment of the Crime of Genocide of 1948 and on offering suggestion to solve them. This study discovers that the principle of prevention and punishment of the crime of genocide has been recognized on the international law regime. However, there still exist, in the Convention, a numerous problems of interpretation and practice which are required to be reviewed and resolved in order to effect the prevention and punishment of the crime of genocide and to remedy genocide victims. The author proposes the important prospects for prevention and remedies which include regarding the crime of genocide as delicta jus gentium for the purpose of universal jurisdiction and extradition, humanitarian intervention, implementation of Agenda for Peace, establishment of the permanent international criminal tribunal and the compensation to the genocide victims etc.