The capillary mat radiant heating and cooling system consists of five main components: cold and heat source, piping system, fresh air system, control system and capillary mat terminal system. When the capillary heat exchanger is combined with a ground-source or air-source heat pump and equipped with proper controls, it forms an energy-saving system that can achieve energy savings of up to 70%. When further integrated with solar energy and thermal energy storage systems, energy savings can reach approximately 90%.