A green energy certificate transaction, as one of the ways to meet China’s renewable energy quota system, is a virtual transaction through the renewable energy trading system. Different from the market mechanism of only one transaction in the past audit cycle, this paper establishes an agent-based renewable energy system with multi-period trading according to the existing green energy certificate trading policy. With simulation of a period of audit of green spot multi-period transactions, the agent of limited rationality makes it in the pursuit of their utility under the premise of interaction. The experiment observes the utility level of agents under different trading strategies, verifies the influence of different policy behaviors on the market, and obtains the market equilibrium state. The conclusion shows that there is a serious green certificate premium in the early stage of the market. After adjustment by fines, the green certificate price of 0.05-0.08 yuan can maximize social welfare and stimulate the enthusiasm for individual purchases.