This article analyses theoretical bases of the migration process on the basis of national and foreigner scientists` contemplative thoughts, moreover, author`s proposals and recommendations on the improvement of theoretical sides of migration are expounded. In particular, the article analyzes the statistics of regulation of migration processes and the views of scientists on such concepts as migration, illegal migration, migration process, internal and external migration. The author emphasizes that the concept of migration is interconnected with the concepts of “illegal migration”, “migration management”, “mechanisms of migration regulation” and “activities related to migration processes” based on scientific, theoretical and legal norms. The article also discusses the views of scientists on migration in order to improve the scientific and theoretical basis for regulating migration processes. The final part of the article gives the author's definition of the concepts of “migration”, “illegal migration”, “migration process” and "migration control”, which serve to strengthen the theoretical and legal foundations of migration.