The purpose of the article is to compare the conditions of development and support of fast-growing companies in European countries, Asian countries, and Russia. The comparative analysis performed is of interest as certain countries, including Russia, face the problem of economic slowdown. However, the fast-growing companies are powerful catalysts for the growth of the gross domestic product and the employment of the population. The conclusion of the study is that there are common patterns in ongoing support programs for fast-growing companies: long term, state support, innovative company orientation, and concessional financing. At the same time, there are fundamental differences in approaches to the state support for innovative companies. The first approach relates to the natural development of the fast-growing innovation companies and their support programs (Germany, Denmark); the second approach is aimed at artificially stimulating the growth of such companies (South Korea). In Russia there are institutional features of supporting fast-growing companies: small businesses are the most vulnerable part of the economic system and they require state support in crisis situations.Therefore, the experience of European and Asian countries in terms of supporting innovative and fast-growing companies can have a positive impact on the development of innovative companies in Russia. And definitely it is important to try to understand the nature of Russian innovative fast-growing companies: do we see them as entrepreneurial business as we do in the Western companies?