Affordable housing is of much importance for Chinese subsidized housing. However, the implementation of the affordable housing policy is facing several problems. One crucial problem is that the current policy cannot effectively identify high-income applicants who are not qualified to apply for affordable housing. Based on the theory of incentive mechanism design, this paper reveals that the current allocation institution has no incentive compatibility. To remedy this shortcoming, a new model for the management of affordable housing is established. Finally, an example is given to show how the proposed model can help improve the overall process of managing the allocation of affordable housing in China.