In view of the recycling and reutilization of plastic products, an integrated multi-objective multi-period multi-stage government-enterprise dynamic joint model for the recycling of used plastic products was constructed under the environment of carbon trading and its optimal operation was discussed. The minimums of network cost, carbon emission cost and environmental impact were taken as the objective functions. Then the feasibility of the optimization model was validated by using the geneti algorithm and particle swarm optimization algorithm, taking the recyding of used plastic products in Shanghai as a calculation example. The results reveal that the negative effect of operation of the system on the surroundings is minimized, the total cost of the system is decreased and the input resources are optimized because of the multi-period arrangement. The study could provide a reference for the construction of government-enterprise reverse logistics network design.