It is considered relevant aspects of adaptation problem of migrants to the recipient culture. Cultural adaptation is the adaptation of social groups and individuals to the changing natural and geographic conditions of life by means of stereotype changing of consciousness and behavior, forms of social organization and regulation, norms and values, lifestyle, ways of life provision, directions and technologies of activity. Modern researchers distinguish active and passive forms of adaptation, short-termed and long-termed, analyze inner (psychological) and extra sides of adaptation, successful and unsuccessful (low). It has been analyzed stages of migrants adaptation (G. Triandis); levels of psychological adaptation (F.B. Berezin); presented the model of foreign culture penetration, kinds of cultural differences of D.M. Bennet; considered types of adaptation at the individual level by L.V. Yanovsky; factors, determining the success of cross-cultural adaptation (M.Y. Orlova). It is defined the peculiarities of modern ethnic migration, its specificity in information epoch.