In the contemporary era, green development has become integral to modern industrial supply chains. Accelerating the green transformation of the supply chain in the express delivery industry poses a significant challenge in China. To address this challenge, we establish a trilateral evolutionary game model that considers the interdependent constraints involving the government, vehicle suppliers, and courier companies. This model aims to explore the optimal stable decisions for each stakeholder and the entire supply chain system. Through numerical simulations, we analyze the impact of key parameters on the stability of strategies and find that there are four Evolutionary Stable Strategies (ESS) in the system. Economic factors play a dual role: income-related factors encourage the adoption of green strategies by stakeholders, whereas cost-related factors extend the time required for stakeholders to transition to green strategies. For sustained production and utilization of new energy vehicles, the government must utilize a balanced system of rewards and penalties effectively. Vehicle suppliers and courier companies should collaborate for mutually beneficial outcomes, jointly fostering the green transformation of the supply chain with a focus on cost reduction and efficiency improvement. This study offers theoretical insights and methodological support for decision-makers in green supply chain management.