A fixing apparatus has a coil for forming a magnetic field; a fixing rotatable member for fixing an unfixed toner image carried on a recording material thereon by heat generated by eddy currents which is generated by the magnetic field; an electric power supply control for controlling electric power supply to the coil; and a rotating mechanism for rotating the fixing rotatable member. On the basis of a state of rotation of the fixing rotatable member a predetermined time after operation the rotating mechanism, the electric power supply to the coil thereafter is selectively carried out.