Disclosed is a heat fusing apparatus for thermally fusing toner that has been transferred to a printing medium from a toner image formed on an image bearing member using an electrophotographic process. Temperature is detected at the surface of a heating element or in the vicinity thereof. If control is performed so as to interrupt supply of power to the heating element based upon result of comparing the detected temperature and a reference value, the amount of current that flows into the heating element is detected and the reference value is changed over in accordance with the result of detection. Further, a pressure roller, which is a rotation member placed opposite the heating element, presses the printing medium against the heating element and transports the printing medium. The state of rotation of the roller is detected and the reference value is changed over in accordance with the result of detection. The apparatus prevents, without malfunction at the time of normal operation, the occurrence of a situation in which the entire fusing apparatus and peripheral devices must be repaired or replaced owing to overheating, and minimizes apparatus damage to thereby minimize the cost of replacement parts and service cost.