A heating process apparatus includes a process chamber, a heat-processed object support member provided in the process chamber for heating a substrate disposed thereon, a cap for covering the substrate disposed on the heat-processed object support member, a heater for heating the heat-processed object support member, a temperature measuring unit for measuring the temperature of the heat-processed object support member, and a controller for controlling the heater. A first measuring unit measures a temperature of the cap, and the controller controls the heater so as to set the cap temperature to a predetermined temperature. A second measuring unit measures a temperature of the heat-processed object support member, and the controller turns off the heater when the temperature of the heat-processed object support member exceeds an over-heat critical temperature.