The article is devoted to the description of the acculturation and adaptation. The research in the field of psychology of migration processes invariably has an impact on the cross-cultural, interethnic interaction on modern society. А new model of "migration circle" is considered in accordance with modern theories of migration, acculturation, and adaptation. This model is represented in the following basic stages: starting-up (the potential emigrants), the main (directly emigrants), and final (re-emigrants). Accumulated during the investigation scientific theoretical material allows finding the solution of many practical problems arising at the threshold of emigration (potential emigrants) either in situations of the return to Motherland (re-emigrants).