A system for regenerating a particulate filter mounted on an exhaust pipe of a gasoline engine including a plurality of cylinders and an ignition device for igniting fuel and air in the cylinder, a three-way catalyst device mounted on the exhaust pipe connected to the gasoline engine, and to oxidize or reduce exhaust gas, the particulate filter mounted on the exhaust pipe downstream of the three-way catalyst device to trap particulate matter and regenerate the particulate matter using heat of the exhaust gas, a differential pressure sensor mounted upstream and downstream of the particulate filter and to measure a pressure difference of the particulate filter, and a control portion to receive the measured pressure difference and control parameters to determine an amount of non-ignited fuel which is not ignited and flows to the three-way catalyst device among the fuel flowing into the plurality of cylinders.