Sooty smoke filter regeneration control system and method for hybrid vehicle

A sooty smoke filter regeneration control system of a hybrid vehicle, includes an engine, a sooty smoke filter installed in an exhaust line through which exhaust gas from the engine passes, and filtering out sooty smoke included in the exhaust gas; a temperature sensor installed in the front end of the sooty smoke filter, and measuring a temperature of exhaust gas flowing into the front end of the sooty smoke filter; an engine controller controlling a temperature of exhaust gas flowing into the sooty smoke filter and to control fuel injection of the engine, based on information associated with a grade of a road on which a vehicle is to drive; and a hybrid control unit controlling an engine clutch disposed between the engine and a motor that assists the engine in association with engine output, in response to a request from the engine controller.