The aim of the article is to study modern trends for governmental support of convergent technologies development (based of NBIC-technologies) under conditions of a new industrial revolution in the World and Ukraine. In the article modern trends of infrastructure for support of innovative development in the countries of the world are analyzed. The prospects for the creation of the US infrastructure of convergence of knowledge, technology, and society are showed. Formation of a joint research area of the European Union as a mechanism for implementing convergent technologies into the economy is characterized. Reconciliation of European Research Area Roadmap 2020 and the Roadmap on the Ukrainian National Research Area realization on the assumption of ERA's implementation in Ukraine by 2020 is made. The list of priority measures and European partner organizations for the implementation of the Roadmap 2015-2020 ERA in Ukraine were designed.