The article considers the cross-cultural competence of an individual as an important factor influencing the success of adaptation of various categories of people immigrants, refugees and internally displaced persons, returnees, representatives of ethnic and cultural minorities, as well as representatives of multicultural societies. Based on foreign studies, different approaches to the development of practical programs aimed at increasing intercultural competence and the effectiveness of socio-cultural adaptation are analyzed. In many cases, the fate and career of a person depends on successful intercultural interaction. Cultural differences become a particularly important factor when a person is forced or voluntarily in another sociocultural environment, where he must deal with various life and business tasks. Ignorance of cultural values, roles, norms and rules of conduct can be a major obstacle in international political and business negotiations, on the way to survival in a new culture and achievement of goals and education. In addition to knowledge of another culture, the skills and abilities that will determine the realization of this knowledge, as well as the desire to overcome all obstacles and to succeed in activities in intercultural interaction are necessary. The combination of knowledge, personality traits, motives and specific skills that contribute to the effective achievement of goals in intercultural interaction, was called intercultural competence. This complex theoretical construct, extremely needed in practice, has attracted the attention of a huge number of researchers and developers of practical programs. Thus, the approaches discussed give a broad opportunity to choose methods and technologies for solving problems that arise in intercultural interaction. Despite the general tendency to develop complex methods, the specific approaches, as shown above, continue to exist and develop, taking into account the latest advances in this field. Traditional methods, such as lectures, case studies, role-playing games, game simulators, the method