Abstract: The article shows the value of involvement of the Russian Federation in the activities of the International Court of Justice in the sphere of guarantees of international law and order. The article includes the historic analysis of the institution of a universal judicial body. The author studies the characteristics of this judicial body, which make it the most influential element within the system of maintaining the legal order and compliance with the international law. The author compares it with the arbitration. He evaluates the importance  of the international legal dispute regulation by an independent international judicial bodies. The author also describes the potential of greater role for the ICJ, and acts of states in the ICJ as reflecting  the principle of supremacy of law. The author also analyzes some aspects of judicial procedure, definitions of rule of law and universal legal order, as well as the key elements and characteristic features of the universal legal order.