The author considers scientific background of the methods and instruments of monetary policy under the integration conditions in the post-Soviet space. Analysis of formation conditions of the Economic and Monetary Union of Russia, Belarus, Kazakhstan, Armenia and Kirgizstan is presented. Findings about the expediency of the use of various theoretical approaches to regulation of exchange rate within the formation of state’s currency policy under globalization conditions are introduced. Problems of monetary and currency policy along with directions of their development in the Eurasian Economic Union (EAEU) are discussed. The directions of monetary and currency policy coordination within EAEU are offered. The author defines possibilities of their realisation under present conditions.