Radiative sky cooling (RSC) is a passive approach to cool an object by emitting infrared thermal radiation to the cold outer space without any energy input and any pollutant produced. It has the potential to meet the rapidlygrowingdemandfor cooling. Radiative cooling materials and real-world applications are two concerns in RSC field. In this study, the cooling performance of two types of ideal radiative cooling materials are compared in term of the cooling power. The critical temperature at which broadband radiative materials exhibit cooling effect outside the atmospheric window is expressed as a fuction of the ambient temperature and the average atmospheric emissivity outside the atmospheric window. The temperature range for the broadband radiative materials with cooling effect outside the atmospheric window is very small, and thus selective radiative materials should be prioritized. Heat transfer processes of radiative sky water-cooling (RSWC) module with ideal selective radiative materials, which has broad application prospect, are then investigated by a theoretical model. As for ten-hour cooling process of a RSWC module under reference conditions, the temperature difference between the environment and the radiative panel rises to 5.68 °C, the temperature difference between the environment and the water rises to 3.76 °C, and the cooling power decreases from 53.5 W/m2 to 38.5 W/m2.The impact of night-time air temperature on the cooling power may reach up to 48.3 % when the atmospheric emissivity within the atmospheric window is 0.5. If the average atmospheric emissivity within the atmospheric window increases from 0.2 to 0.5 the cooling power of RSWC module decreases by 29.2 % − 39.2 %.