Low carbon packaging is the important approach to solving the excessive waste in the process of logistics packaging. The game theory was used to establish the game model of the logistics enterprise low-carbon packaging recycling and consumers, with the government participation. According to different conditions, the evolutionary equilibrium was obtained by analyzing the mutually beneficial and win-win situation between the government, logistics enterprises and customers. The research results showed that the amount of governmental rewards and punishments and the research and development cost of logistics enterprises in low carbon technology were the key factors affecting the decision-making behavior of the game, which could provide reference to related authorities accordingly.