The great amount of international Courts, do not yet compose an integrated system, however reveal a part of the globalization. These courts are structures that belong to an integration or international Organization, or exceptionally they are themselves international. They range from account Auditors to Compulsory Jurisdiction, in a gender species relationship between international courts and courts of integration. Ergo their roles are in alignment with the entity's goal they belong to; an international court will have less competence than an integrational one which even act as pseudo constitutional tribunal. It shows that the source of this jurisdiction lies in a volitional face of each State; the fact of not being a supranational system is then mitigated through the figure of judicial dialogue; and these Courts can be classify under different lines of study; the more of thirty Courts of the globe that form the current international justice base the value of their contribution in avoiding war, guaranteeing essential rights, supporting democracies, unified areas, international trade, among others; an undeniable evidence of mankind evolution.