The invention discloses an air source heat pump heating system capable of cascade heat storage, heat supply and defrosting. The air source heat pump heating system involves a refrigerant circuit and aheating hot water circuit, wherein the refrigerant circuit involves an evaporator, a four-way reversing valve gas-liquid separator, a compressor, a cascade phase change heat storage device, a condenser, a filter and an expansion valve; and the heating hot water circuit comprises the cascade phase change heat storage device, the condenser, a hot water circulation pump, and a heating end device. According to the air source heat pump heating system, compared with the prior art, stored heat can be directly used for heating, the intermediate link is greatly reduced, and the energy utilization efficiency of the system is improved; the system can achieve six operational mode adjustments according to working conditions, and the economic benefits and the energy-saving benefits are maximized; and the cascade phase change heat storage device provided by the air source heat pump heating system can be divided into a middle-low-temperature heat storage unit for heating and a lower-temperature heatstorage unit for defrosting of a heat pump, so that the cascade utilization of the heat is realized.