Green innovation is an effective way to maintain competitive advantage of logistics enterprises,which plays an important role in reducing environmental pollution and dealing with climate change. The paper builds a tripartite model of logistics enterprise groups,government regulators and consumer groups based on the basic theory and method of evolutionary game,and then analyzes the gradual stability of green innovation diffusion and the influence of different parameters on the diffusion of green innovation by matlab software. The result of the study shows that: the government's regulation is the booster of the logistics enterprises'diffusion of green innovation; with time,the government will choose to withdraw from the regulation eventually,but the speed is different under different regulatory ways; the government subsidies of innovation for the logistics enterprises should be controlled within a certain range.