The utilization rate of renewable resources in our country is relatively low. In particular, low value recyclables such as waste glass, waste textiles and waste wrapping paper are largely abandoned which aggravates the trend of garbage siege and causes environmental pollution. Therefore, it is helpful to formulate a good long-term mechanism to sort out the game relationships among the main players in the management of low value recyclables. The evolutionary game theory was used to analyze the evolution of government and enterprises in the processing of low value recyclable materials. Six sets of representative data were selected to do a simulation with Matlab software. The results show that when low value recyclables are of higher worth and the recovery cost is lower, the recycling enterprises are profitable and the recycling of low value recyclables can be regulated by the market mechanism. With the increase of resource costs and the decrease of resource utilization value, it is difficult to mobilize the enthusiasm of low value recyclable enterprises solely on the basis of market mechanism, and it is difficult to recycle and dispose of them effectively. The government can reduce the enterprises' collection and transportation costs through establishing a dynamic inventory of low value recyclables, subsidizing resource-oriented enterprises and taking measures such as "synergy between the two networks", thereby mobilizing the enthusiasm of enterprises and improving the utilization of low value recyclable resources.