Abstract: This article concerns specific features of influence of the superpowers upon the international political processes ongoing in the modern multipolar world. The multipolar world today is an international configuration, where the world is divided into the spheres of influence among the superpower states, and none of the existing power centers is capable of independently pushing its will into the other sphere without a wide-ranged coalition of powers. There is no method to change the amount of sphere of influence, rather than by force. In such a situation the importance of the non-military influence in international relations, including soft power resources are regarded as politicians and legal scholars as an important resource for the foreign political power of a state claiming the status of the global center or an apex of power, in other words, the superpower status. In spite of the disputes regarding intepretation of the term, it should be stated that the term "superpower" now returned into the lexicon of political science after it has been ignored by most American, Western European and Russian specialists in the sphere of international relations. This article provides analysis of hte modern changes in the political map of hte world. It is pointed out that in the modern rapidly changing multipolar world the non-forceful methods of influence gain more and more importance, and they form the modern system of international relations. The role of soft power and its cultural communication instruments for the political influence of superpowers in the modern global world is growing. In the conditions of multipolar world the formation of the soft power potential as the means for national and international security becomes one of the key factors for the preservation of state sovereignty, territorial integrity of the state, consolidation of the society, formation of the conditions for successful resolution of the internal problems, and accordingly for the active foreign policy of the state.