Green credit and green supply chain are significant measures for banks and enterprises to deal with the increasingly serious ecological environment． Supervision and guidance by governments are the prerequisites to the smooth implementation of green credit and green supply chain． This paper analyses the evolutionary stable strategy of three parties，including the governments，banks and enterprises，by establishing an Asymmetric Evolutionary Game Model，assuming that the governments take rewards and punishments policy both for banks and enterprises． The results show that whichever strategy the government chooses，there is always one party choosing non-implementation of the green credit or non-adoption of green supply chain strategy． From a shortterm perspective，whichever strategy the government chooses，the banks and enterprises will select the strategy of non-implementation and non-adoption respectively． From the long-term perspective，the banks and enterprises will take the initiative to choose implementation and adoption actively in the absence of the government＇s regulation．