A model for radiant air conditioning with an infrared-transparent membrane has been developed to address the problems of the risk of condensation on the surface of the radiant cooling plate and the limitation of the cooling capacity by the indoor dew point temperature. The condensation and cooling characteristics of two types of radiant air conditioning were compared and analyzed by numerical simulation. The effects of different water supply temperatures, water supply velocities, and indoor relative humidities on the cooling and condensation characteristics of radiant air conditioning with an infrared-transparent membrane were investigated. For every 1 °C decrease in the water supply temperature, the cooling capacity increased by 8.92 W/m2 and the surface temperature of the infrared-transparent membrane decreased by 0.47 °C, and the water supply velocity was optimal. In addition, under indoor relative humidity conditions of less than 70 %, there was no condensation risk for radiant air conditioning.