During the time period from the start of an engine to the completion of a catalyst warming-up, the drive of a blower in an air-conditioning equipment is inhibited to suppress the heat-exchange of the air, which is caused to flow in an air duct by the drive of the blower, with cooling water in a heater core disposed in a circulating passage. Therefore, the heat generated in the engine is restrained from being fed to the inside of a compartment through that air after fed to the cooling water. As a result, the temperatures of the engine and the cooling water rise quickly, and the temperature of the exhaust of the engine rises so that the heat is efficiently fed to the catalyst through the exhaust. This means that the heat generated in the engine is preferentially fed through the exhaust to the catalyst that is the portion needing the feed of heat at a low temperature, other than the compartment in the automobile.