The purpose of the article is to characterize the features of statistical accounting of various categories of migrants and to analyze migration processes between the two countries in the context of integration within the EAEU. On the basis of microdata of the Integrated Survey of Household Living Conditions conducted in Armenia, specific characteristics of migration towards Russia are determined, such as: the duration of stay of a migrant worker in another country, forms of employment, income level, the amount of money transfers, etc. The features of statistical accounting of various groups of migrants are revealed, recommendations for improving the methodology of accounting for migrants from the point of view of its unification across the EAEU countries, as well as the inclusion of a model block of migration issues in the census lists of the EAEU countries are considered.