The invention discloses a heating smoking device of heat-not-burn tobaccos. The heating smoking device comprises a heating main unit and a filtering and cooling device, wherein the heating main unit comprises high-temperature-resistant upper cover silicone, an outer aluminum-alloy pipe, a heat-insulation shell, an internal aluminum-alloy pipe, high-temperature-resistant lower cover silicone, a tobacco pipe, one or more heating pipes, a PCBA, a battery and one or more groups of heating wires; each heating pipe is provided with one group of heating wires, one heat-insulation pipe is installed between every two adjacent heating pipes, and each heat-insulation pipe is connected with the heating pipe at the upper end and the heating pipe at the lower end. The tobacco pipe is inserted into one or more heating pipes from the bottom, tobaccos are inserted into the tobacco pipe, and it is achieved that the tobaccos are heated without being burnt through the heating wires outside the heating pipes. In the heating smoking device, multiple groups of anodized aluminum-alloy pipes 11 (A, B, C and D) and multiple groups of PEEK heat-insulation pipes are combined to form a device for stepwise heating and smoking a cigarette, and when the tobaccos are heated stepwise, the heating efficiency is higher, and the temperature on the outer surface is lower.