In the early stage of sponge city promotion, both developers and consumers lack initiative, and the governments can take incentive measures to encourage both groups to actively participate in the construction of sponge city. This paper makes a comparative analysis of the interest composition and obstacles faced by the three key stakeholders: governments, developers, and consumers, and establishes an asymmetric evolutionary game model of governments, developers, and consumers. The dynamic system of the game model is constructed by replicated dynamic equation, and the evolution direction of different stages is obtained by solving the stable equilibrium point of the system. Based on the reasonable assumption of the parameter value, the numerical simulation is carried out for the situation of oversupply, short supply, and balance of supply and demand. The results show that the better evolutionary equilibrium points are (incentive, development, purchase) and (no incentive, development, purchase). The basic factors influencing the decision-making direction of the stakeholder are direct cost, direct benefit, opportunity cost, and opportunity benefit. In a fixed scenario, the decision-making direction is unchanged, and the parameters can change the evolution speed of the whole system, which can reduce the loss or accelerate the promotion. Moreover, some suggestions are put forward for the governments, developers, and consumers in the construction of sponge city.