The course of economic integration within the framework of the EAEU is proceeding according to a plan outlined in a document on the Union’s development forecast until 2030, when first three countries were members of the EAEU - Russia, Kazakhstan and Belarus. Later, two more countries joined the union - Armenia and Kyrgyzstan. Then based on the real situation, additional adjustments were made. Many problems remain that need to be solved precisely in the field of integration, which, on the one hand, cause the need for an accelerated approach, and on the other, raise doubts about the prospects of this alliance. The article is aimed to study the causes of disputes, identifying factors contributing to the unification of participants, and developing an objective vision of the Union’s development prospects. And also, based on the analysis of today’s relationships among the members of the Eurasian Economic Union, appropriate conclusions and recommendations will be made for further relationship improvement by considering the perspectives of voluntary joining of other countries into the Eurasian Economic Union.