The article deals with the problems and achievements of the integration process in the Commonwealth of Independent States, an important step of which is formation of the Eurasian Economic Union (EAEU). With regard to the theory of optimum currency areas (OCA), the authors have developed a complex approach to assessing the prospects of the Eurasian economic and monetary integration. Based on the analysis of optimality indicators they make a conclusion on inexpediency of hypothetical formation of monetary union within the EAEU at the present stage.