The mathematical model of slope roof capillary plane radiation air-conditioning system is established based on the statement of the characteristics of capillary radiation air-conditioning system. Then the numerical solution of differential equations is obtained by the technology of CFD. Finally, we analyze the distribution of indoor temperature of the slope roof and the predicted mean votes(PMV) using Airpak software. The results show that the PMV of different sections ranges from 0 to 2.5, which meets the requirement of the comfort. These provide a theoretical basis for application and promotion of capillary plane in the slope roof.