The study can be summed in the first chapter by explainina the crime of aggression, according to different definitions whether linguistic which is being expressed by the scholars through various opinions, the definitions given the General Aggression Model in the its resolution No (3314) in the year 1974, and at last it has been defined according to the decision of the public show conference to the International Criminal Court and the conclusions of the conference, accordingly there is no approved unique definition for the crime of aggression till the date. As well the study lights into the factors leading to the crime of aggression such as material and action aspects of this crime, and the spiritual aspect as some different, and its global aspect as a universal crime. The second chapter, which deals with the global legal responsibility of the crime, lights to the answers for the questions being asked on the extent of possibility of making the country which committed the crime of aggression, and it also deals with the opinion of scholars about the possibilit out the possibility and legal permission for using armed forces against such country. This chapter contains that the responsibility of the crime of aggression is a individual responsibility related with the normal persons, the researcher has also observed the impediments of responsibility of the person which committing the crime of aggression. The third chapter consists of the authority of the International Criminal Court for considering the matter of crime aaaression, and to observe the matter of dispute raised between groups of countries about including the crime of aggression in the authority of the court, and such discussions by the countries of pro and anti stands in the matter of including such evidences, arguments for substantiating their arguments and to assess the stand of such countries, as well as the authority has been restricted for considering for a certain period of time, and to make conditional with the completing authority in giving the priority for national adjudication than the international courts, the study aimed at explaining the relation of Security Council in the International Criminal Court in considering the matter of crime of aggression and its limits of this relation. On conclusion of the study, the researcher has brought many results and assumptions in three chapters, also the researcher has suggestion some valuable recommendations for safeguarding international justice for a peaceful life, and to retain the stability of the communities by protecting is political freedom and social security. The request for approving definitions of crime of aggression and condition of the Court in practicing its competence shall be the most important one in that regard which shall be during the conference which is scheduled to be held in January 2017 for considering the dangerous side of this crime since it forms the threat to the freedom of the country and its stability negatively for its authority on its territory and its committer shall not be bothered. As well as the necessity of defining the authority of the Security Council concerning the postponing the justice achieving or litigation in all stages for a period of eleven months renewable for unlimited periods by not giving the authority absolutely or to give such authorities with the condition of fixing a certain reasonable period and that is not renewable, and its decision for the postponement shall be a reason