The paper studies the problem of interaction of people from various countries and cultures in the conditions of cultural globalization, which creates new problems of cultural adaptation. The paper explores the concepts of «communication», «intercultural communication». The problem of forming the ability of the individual to effective intercultural communication as a means of understanding the mental characteristics of different cultures, which is a guarantor of effective dialogue of cultures in the modern world. The characteristics of intercultural misunderstandings in the process of communication was submitted. Communication as a reflection of the intercultural ties of specific groups of people in a particular period of historical development of society is studied. Intercultural communication in the pedagogical process is also considered as a method of socio-cultural adaptation, due to the interaction of different cultures and the mental characteristics of their carriers. The teacher of Ukrainian (Russian) as a foreign language must be understood that foreign students have already formed ideas about their nation. Therefore, it is important to teach them the differences between cultures, to respect the cultural sensitivities, to overcome stereotypes. Foreign students should learn to understand why people of other cultures must behave in particular way. In the conditions of modern education, when people from various countries with specific features of national character and thinking study in one group, the question of intercultural communication acquires special significance. Cultural diversity implies intercultural enrichment. Shortening of intercultural distance, willingness to adapt to existing realities will provide an opportunity to develop an optimal strategy for collaboration in the group. A dialogue of cultures has contributed progress in universal culture. During the dialogue of culture, there is an acquaintance with another culture and constant development through the mutual enrichment of different cultures.