The article analyzes such actual problems of cross-cultural training of future teachers as the formation of intercultural ( crosscultural ) competence of the future teacher in the process of his professional training, the necessity of creating a complete list of intercultural competences, determining the levels of requirements for the competences of bachelors and masters, developing the cultural intelligence of future teachers, development and the introduction of methods for the development of cultural intelligence. As the most important part of culture, education is intended to ensure the entry of man into culture through the acquisition of ii to cultural values .