Beijing-Tianjin-Hebei cooperation is fundamentally dependent on innovation-driven，in the establishing process of regional collaborative innovation system，university，industry and government are very important roles. We choose the full data of invention patent applications in Beijing-Tianjin-Hebei region from 2012 to 2016，and uses the triple-screw model to quantitatively analyze the interactive relationship of university，industry and government in Beijing-Tianjin-Hebei region，and analyze the future trend by SPSS. The study shows that the industry is the most active one in innovation system，interacting much with the government and university，but the interaction between government and university is the least. The government-industry-university relationship of Beijing-Tianjin-Hebei region is obvious self-organized，and the collaborative innovation system has been formed. From the the view of technical fields，the highest degree of close cooperation among university，government and industry is the field of chemistry and metallurgy. As for the future development trend，the relationship of university-industry-government of Beijing，Tianjin and Hebei have different characteristics and trends.