An image fixing apparatus includes a cylindrical rotatable member including an electroconductive layer and having a hole at least at one of longitudinal end portions, a driving member engaged with the longitudinal end portion to rotate the rotatable member and including a claw engaged with the hole, a coil provided inside the rotatable member for forming an alternating magnetic field for heat generation of the electroconductive layer, and a magnetic core. The rotatable member generates heat by a current flowing in a circumferential direction of the rotatable member induced in the electroconductive layer in the magnetic field. The rotatable member is provided with a slot at the longitudinal end, the slot being disposed at a position different from a position of the hole with respect to the circumferential direction of the rotatable member and overlapping the hole with respect to a longitudinal direction of the rotatable member.