An internal combustion engine has an adsorber arranged in the exhaust passage for adsorbing unburnt components in exhaust gases, and an exhaust gas-purifying device arranged in the exhaust passage at a location downstream of the adsorber. The exhaust gas-purifying device is equipped with a heater. An ignition timing of an internal combustion engine is retarded when the engine is started at a low engine temperature. The retardation of the ignition timing is restrained over a time period from the start of the engine to a time point the exhaust gas-purifying device is warmed up to a predetermined activated condition.