Petrochemical enterprises has been playing the important role in China's economic growth on the long run , but with a low carbon economy coming, how to motivate petrochemical enterprise of low carbon production become the common topic between government and petrochemical enterprise. Because the goal of Petrochemical enterprise is different from that of government, so petrochemical companies and the government are bound to expand the game in the drive of their own interests. In this paper, through constructing petrochemical game between the enterprise and the government game model, and carry on the game analysis, to study petrochemical enterprise implementation of low carbon production incentive problems, so as to inspire the government petrochemical enterprise low carbon production to provide the theory basis.