The invention belongs to the technical field of energy sources and aims to provide a heat pump heat-supply cold-supply system for extracting solidification heat or making ice. The system is used for extracting solidification latent heat of water, water consumption of the system is reduced substantially, and the problem of insufficient water quantity is solved. The system is composed of a heat pump unit, a solidification heat exchanger, a cold-supply heat exchanger, a cyclone desander, a sand blending valve, an ejector, a water tank, a cooling tower, multiple water pumps and a control valve which are connected through pipelines. The system can realize ceaseless circulation of continuous icing, deicing and re-icing of water, switching between ice storage refrigerating in summer and solidification head extracting for heat supply in winter is realized by opening and closing the valves, and the problems of extracting solidification heat of cold water for heat supply, utilizing the cooling tower to thaw ice and storing ice for refrigerating are solved. The heat pump heat-supply cold-supply system is suitable for cold water solidification heat extraction heat-supply and ice cold storage air conditioning systems.