The purpose of the article is to define perspectives and obstacles for formation of the free trade zone between the Eurasian Economic Union and the ASEAN. The problem is considered in the context of development of Eurasian integration and Russia - ASEAN relations. The author makes the conclusion that establishment of the EAEU - ASEAN free trade zone seems to be impossible in the nearest future, but at the moment we can speak of creation of ground for further cooperation in this field.