The invention relates to a multi-source heat pump cold and hot water unit integrating solar energy, air energy and sleeve accumulated energy. The multi-source heat pump cold and hot water unit is mainly composed of a solar thermal collector, an energy storage heat exchanger, an outdoor air heat exchanger, a compressor, a thermal storage water tank, a user side heat exchanger, a gas-liquid separator, a heat collecting water pump, a user circulating water pump, an electromagnetic valve, a motor-driven three-way reversing valve, a motor-driven four-way reversing valve, a start-stop valve, a throttling valve, a one-way valve and the like; according to different outdoor climatic conditions, multiple operation modes such as direct solar heat supply, living hot water produced by solar, solar heat accumulation, heat supply of an energy storage heat pump, heat supply of an air source heat pump, energy storage and air source heat pump combined heat supply, living hot water produced by an air source heat pump, cold supply of air source heat pump, air source heat pump cold accumulation, heat pump cold accumulation and production of life hot water, and cold accumulation cold supply are realized. The complementary utilization of air energy and solar energy and two-way utilization of cold and heat of a heat pump unit are realized, and one set of equipment is adopted to realize heating, refrigeration, energy storage and living hot water supply.