Abstract: A method of heating a long metal product to a desired temperature by an induction heating coil while continuously moving the long metal product longitudinally. The long metal product thus heated attains a uniform temperature throughout its entire length. For this purpose, the space enclosed by the induction heating coil is hypothetically divided into a plurality of sections in the direction in which the long metal product travels. The temperature of the long metal product in each hypothetically divided section is estimated by calculation from the temperature of the long metal product at the inlet of the induction heating coil. Based on the estimated temperatures, the power supplied to the induction heating coil is controlled so that the temperature of the long metal product agrees with the desired temperature at the outlet of the induction heating coil.