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China’s construction industry is the pillar industry of the national economy, but the market competition faced by construction enterprises is becoming increasingly fierce. The general contractor must carry out close business cooperation with other subcontractors and integrate the valuable resources of all parties to cope with the competition jointly. Based on this, this paper constructs the evolutionary game model between the general contractor and the subcontractor. The equilibrium point is calculated by copying the dynamic equation, and the influence of parameters on the evolution probability of both sides is explored. Finally, combined with the numerical simulation, some suggestions on the matching of construction subcontractor suppliers are put forward: improve the cognitive level of the supply chain and reduce the contract cost of the enterprise; adopt an efficient and transparent supervision mechanism to reduce the risk of cooperation; improve the information transmission network of the supply chain and reduce the cost of failure; clear project claims and reward and punishment measures to enhance the enthusiasm of enterprises.