The states (countries) are playing game of power and interest in the international system (IS) to survive and develop. In this game, the states compete to take the best position in the ranking of power. This allows to pursue their national interests more effectively. States with the greatest power (top states) decide on the polar structure and geostrategic nature of IS at every level (global, regional, local). Investigating the structure (static research) and nature (dynamic research) of global balance of power (GBP) after the Cold War three types of power: economic power, military power and geopolitical power were taken into consideration. The results of theoretical and empirical research are relevant to the decision-making process of the political system of states directly or indirectly involved in the international security.