Green finance can promote sustainable economic and environmental development. Currently, China's green financial products are mainly based on green credit. In order to improve the green financial products and services, we need to attract more players to participate in the green financial market. This paper constructs a tripartite evolutionary game model of "bank financial institutions - non-bank financial institutions - enterprises". The purpose of this paper is to investigate whether green credit can lead to the "greening" of the financial system and promote energy saving and emission reduction of enterprises. The results of the study show that: (1) If the initial willingness of banks and financial institutions to implement green credit is high, it will promote the participation of enterprise in energy saving and emission reduction. It will promotes the enterprises to participate in energy saving and emission reduction. (2) If the initial willingness of each subject to participate in the development of green finance is low, the government needs to increase incentives.