Аннотация:Within the Fourth industrial revolution not only the list of through technologies changes, but also thinking, methodological approaches to development of scenarios of breakthrough is cardinally transformed. It is obvious that actively restored industry in the next years will become one of the main drivers of economic growth in Russia. The perspective fast-growing industrial companies which have the highest potential of leadership both on Russian, and in the global market will become the chief conductor of breakthrough development in these conditions. These are the domestic private hi-tech export-oriented companies, leaders in rates of development, potential participants of the multinational companies of the Russian basing. In 2016 - 2017 within rating Tekhuspekh 62 such companies have been selected. In 2018 it is supposed to select 30 more companies in addition. On the fact that now are approved the "Digital Economy of the Russian Federation" program the Strategy of scientific and technological development of the Russian Federation, the National Technological Initiative, are developed road maps, the Digital Industry program prepares, the priority project "National Champions" is implemented, the rating Tekhuspekh pays off, it is necessary to recognize lack of concrete mechanisms and scenarios of realization of breakthrough development in priority industries. these circumstances cause relevance of a research.