The article covers the recent tendencies on the energy markets of the EAEU countries and is aimed at developing better strategies for their development and integration. The article reveals the main problems of the current strategies and the issues in the economies of the EAEU countries in the energy sphere. The authors developed an inclusiveness index, allowing to estimate whether the strategy of integration of energy markets in efficient or not. The recommendations given in this article are of a complex character and mostly refer to the improvements in the integration strategies of the EAEU countries. The novelty and the scientific significance of the paper comprise the index development, the analysis of the strategic energy integration documents and the institutional analysis of energy market of EAEU.