The issue of effective usage of ICT, including e-governance instruments, plays a vital role in studying the effectiveness of Eurasian integration processes because of dynamic transformation in the Eurasian Region. Thus, the issue of e-governance institutions development influence on the Eurasian integration is in a great urgency. The paper provides first steps in the institutional analysis of e-governance system in the countries of Eurasian Economic Union (EAEU), in particular, in Russia. Based on structural analysis of e-governance institutional system development in the EAEU member-states (Russia, Belarus, Kazakhstan, Armenia, Kyrgyzstan), the preliminary institutional maturity model of e-governance development in EAEU is planned to be developed in future research.