A pipe hobbing cutter induction heating device mainly comprises magnetizers I, tooth-form clamping connection discs, rotary clamping discs, supporting frames, magnetizers II, induction coils, wiring boards, limiting devices, positive electrode interfaces, negative electrode interfaces, a bracket, a thermal imager, an induction heating device I and the like. A method comprises the steps that the initial positions of the induction heating devices are set according to geometric parameters of a pipe hobbing cutter; a heating implementation scheme is calculated and determined by a control system; four stages of heating feeding are conducted, the surface of the cutter is divided into four continuous heating zones, when each heating stage is completed, surface temperature distribution of the pipehobbing cutter at the moment is collected through the thermal imager, temperature signals corresponding to all the zones are fed back to the induction heating devices which is about to enter the heating zones, and the electric current is adjusted; and after the fourth stage of heating is finished, heating is completed. Through the pipe hobbing cutter induction heating device, the heating uniformity and the device applicability are improved, the heating efficiency and the operation simplicity are improved, and meanwhile, cutter top oversintering is prevented.