As a bridge of cooperation between enterprises and the government, the logistics association fully promotes logistics management and improves resource allocation. However, because China's logistics association is still in its initial stage, it is difficult for it to effectively unite the government and enterprises to solve the market monopoly, the incomplete system, and other problems. An evolutionary game model among the government, associations, and enterprises is constructed in order to develop a sustainable governance mechanism for the logistics industry to realize cooperative supervision and healthy competition among relevant participants. Based on the bounded rationality and expected payoff of the participants, the main determinants of the optimal strategy are analyzed, and the evolution path and equilibrium state of the three game groups are studied by numerical simulation. The results show that strengthening the independence of the association, increasing the government's reward to the association, and highlighting the positive social effects of industry independence are important factors for the healthy development of the logistics industry. In addition, the association must play its role in submission, distribution, and communication with the government and enterprises, constantly strengthen its own construction, improve industry standards, and create a favorable market environment for logistics enterprises.