Exhaust cleaning-up device for internal combustion engine for vehicle

An exhaust cleaning-up device for an internal combustion engine for a vehicle, the internal combustion engine having a plurality of cylinders, comprising:

• an HC absorbent provided in an exhaust system, having a property that it absorbs HC contained in exhaust when in a specified low-temperature range and desorbs the absorbed HC when it exceeds said specified low-temperature range;
• a catalyst provided in the exhaust system, at the same position as or downstream of said HC absorbent, capable of at least removing HC by oxidation;
• a desorbing-state detecting element for finding that the HC absorbent is in a state ready for desorbing the absorbed HC;
• a decelerating-state detecting element for finding that the internal combustion engine is in a specified decelerating state;
• a fuel supply element for supplying fuel to the internal combustion engine;
• and
• a control element arranged to control the operation of the fuel supply element to stop fuel supply to some of the cylinders of the internal combustion engine and supply fuel to the other cylinders, when it is found by means of the desorbing-state detecting element that the HC absorbent is in the state ready for desorbing the absorbed HC and it is found by means of the decelerating-state detecting element that the internal combustion engine is in the specified decelerating state.