Abstract: A system for rapidly warming up a catalytic converter provided to an automotive internal combustion engine to purify the exhaust gas. The system includes a vacuum-operated device to increase the opening degree of the throttle valve by a predetermined degree to thereby increase the quantity of the exhaust gas and another vacuum-operated device to retard the ignition timing of the engine to a predetermined extent to thereby raise the temperature of the exhaust gas. The two devices are connected by a vacuum passage to the intake passage of the engine at a section downstream of the throttle valve in series, and an electromagnetic valve renders the vacuum passage effective to thereby actuate the vacuum-operated devices only when the engine is idling under cold condition. Because of the series connection of the two devices, an intake vacuum is applied to the two devices in desirable sequence.