A fixing apparatus and an image forming apparatus of the present invention are arranged so that a fixing control section causes a fixing roller to additionally rotate so that the additional rotation corresponds to a driving delay time also after turning OFF an external heating roller heater when shifting from a temperature raising step in which surface temperature of the fixing roller is raised so as to be equal to a preset fixing temperature to a standby mode and when turning OFF the external heating roller heater and stopping the fixing roller. As a result, it is possible to provide a fixing apparatus and an image forming apparatus in which a surface of a fixing roller is free from deterioration or breakage caused by local heating carried out by an external heating roller.