The invention relates to a heating system of a multi-functional energy-saving stove. The stove comprises a hearth jacket, a hoop type heater and a fire-resistant filling, wherein heat transfer fluid and water in the hearth jacket and the hoop type heater absorb heat and are delivered into a hot water storage tank and a heat exchanger thereof respectively; the hot water is heated by the hoop type heater, is heated by the residual heat of smoke in a jacket chimney to generate steam, and then is heated by the residual heat of smoke in the upper part of the jacket chimney to form high-temperaturesteam in a normal pressure state; the heat exchanger is provided with a fluid feeding pipe and a fluid feeding barrel for storing or filling the heat transfer fluid; the height and the thickness of the fire-resistant filling in the stove regulate the distribution of heat energy in the heating system; a hot water delivery tank controls the temperature and the amount of the hot water being delivered out; and a water outlet pipe of the jacket chimney is provided with a control valve for controlling the amount of hot water delivered into the hot water storage tank and the temperature and the amount of steam delivered out. The invention realizes the purposes of multiple functions of one stove, high efficiency and energy saving.