The paper discusses problem the institutional supporting of activities for creation the innovative Hi-Tech productions, it presents the methodological and analytical generalization of the modern practices in building institutions that ensure organic cooperation between Universities, Industries, and Government in framework of the "Triple Helix" innovation mode. In this case, the probability of reaching commercial success of the R&D activities rises significantly. This has changed the traditional model of the University in toward the “Entrepreneurial Universities”, which have become the system centres of the new Hi-Tech innovation clusters. The paper presents the international comparative analysis by indicator of “University/industry research collaboration” as part of the competitiveness index. It gives proposals to improve the Ukrainian innovation policy.