As an emerging financing model in the carbon financial market, carbon asset pledge financing (CAPF) has received extensive attention from governments and firms with the advance of low-carbon economy. Since enterprises, banks, third-party carbon asset evaluation agencies (TCAs), governments, etc, are involved in the operation of CAPF, driven by information asymmetry and the interaction among different stakeholders, rent-seeking behavior is easy to occur in CAPF. This paper develops an evolutionary game model to investigate the rent-seeking behavior in CAPF among different stakeholders. In addition, the risk-sharing and penalty mechanisms are also taken into account. Subsequently, we examine the effect of relevant parameters on the dynamic evolution strategy of all parties in CAPF rent-seeking through numerical examples. The results show that the governance of rent-seeking behavior in CAPF needs the cooperation of different participating entities, the improvement of carbon financial market can reduce the occurrence of rent-seeking behavior in CAPF. Compared with firms, TCAs are more susceptible to opportunism. Additionally, both the risk-sharing mechanism and the penalty mechanism can effectively reduce the occurrence of rent-seeking behavior. This paper contributes to the management of CAPF, and managerial insights for the governance of rent-seeking behavior in CAPF are also provided.