The article is dedicated to one of the most pressing problems of our time — migration. Depopulation, population ageing, falling birth rate among the indigenous population creates conditions when migration becomes one of the most important sources of population growth in developed countries. Despite the fact that the problems depopulation can’t be solved only through migration, it is impossible to manage the situation without migrants, otherwise population will decline even more rapidly. The article analyzes particularities of migration in Russia, especially focusing on migration in Moscow. The main emphasis is made on the problems of interaction between migrants and the host community, or more precisely on the attitudes towards migrants among Muscovites. There is a high level of anti-immigrant and xenophobic attitudes among Moscow’s residents, which points to the necessity to overcome migrantophobia, promote tolerance, establish cultural dialogue between migrants and the indigenous population of the region. Negative consequences of xenophobia are analyzed, which pose a threat to Russian stability and security. A lot of attention is paid to such feature of contemporary migration as the increasing proportion of women among migrants — the feminization of migration, problems and prospects that follow it. In conclusions, the author relies on the existing statistical data, as well as the results of sociological research, conducted both on the national and regional levels.