Intercultural approach to preparing graduates to taking part in the dialogue at the level of interaction between members of different linguistic societies is considered. Modern character of international cooperation and cross-cultural communication is complicated by political, social, cultural processes caused by globalization and the opposition of civilization values. The society faces challenges related to preparing the younger generation to unexpected, often conflict-prone, complicated terms of international cooperation and communication. The intercultural approach as a soft power mechanism is to be applied in the educational environment of the university.