An image heating apparatus includes a rotatable heating member; an exciting coil; a magnetic core including a first engaging portion in the neighborhood of an end thereof and a second engaging portion in the neighborhood of another end thereof; a holder including a first recess into which the first engaging portion is inserted and a second recess into which the second engaging portion is inserted; and an elastic member fixed on the holder so as to be located between the magnetic core and the holder. The elastic member urges the first engaging portion, inserted into the first recess, in a direction perpendicular to an inserting direction so that a position of the second engaging portion is determined by the second recess.