Abstract:The emerging industries will become the new engine of China's economic development under New Normal. Open innovative model is necessary choice for the emerging industries in order to break through technological bottleneck,shorten R&D period and improve innovation rate.As the important innovative resource outside of the emerging industries, the universities is experiencing an education revolution from research to entrepreneurial model now.the traditional Industry-University Cooperation (IUC) have could not meet the current needs of economic transformation and university construction,Firstly, this paper analyzes the natural content and innovative features of the emerging industries, research and entrepreneurial universities. Then, adopting the dynamic equations of two imitators’ groups, probes into evolution game process and stable strategies in cooperative innovation between emerging industries and two kinds of heterogeneous universities respectively under different scenarios.finally, some useful conclusions and inspiration are drawed on the basis of every theoretical propositions verified by the mathematical methods.