Objective: The influencing factors of blockchain application in food supply chain and the behavior problems of all participants in food supply chain are worth exploring. Methods: Using the evolutionary game method, the tripartite game model of food enterprises, government and consumers was constructed, and the replication dynamic equation was established; The effects of different initial values, access cost, premium coefficient and information authenticity on the choice of tripartite strategy were analyzed. Results: The steady state of the system was related to the proportion of the initial strategy population. The block link in cost had a great impact on the strategic choice of food enterprises. Too high access cost would inhibit the enthusiasm of food enterprises in information chain, which was not conducive to the application and promotion of block chain technology in food traceability system. The premium caused by accessing the blockchain would affect consumers' purchase enthusiasm. The none tamper ability of blockchain technology can improve the authenticity of food traceability information, which is conducive to the evolution of the three parties towards the ideal state. Conclusion: In order to fundamentally solve the authenticity of food traceability information, food enterprises should reduce the price of traceable food premium on the premise of ensuring the authenticity of traceability information, and the government should improve consumers' purchase enthusiasm on the premise of controlling the premium of traceable food.