Abstract:Building public rental houses is an important housing security system. This paper designs the game models of building public rental house, and investigates the interest relationship about central government and local government. The results show the gap between the income of public rental houses and the income of commercial residential building is important effect on the proportion of public rental houses, land use scale and income of local government. But central government is ape to build the public house according to the state-of-the-art of local government.