A vehicular lane keeping system includes a forward-viewing camera disposed at a windshield of a vehicle and an electronic control unit (ECU). The ECU is operable to (i) process map data relating to a current geographic location of the vehicle and (ii) process vehicle information relating to current operation of the vehicle in a traffic lane of a road. Responsive to (i) processing of image data captured by said forward-viewing camera and (ii) processing of the map data and (iii) processing of the vehicle information, the vehicular lane keeping system determines a path of travel for the vehicle that keeps the vehicle in the traffic lane during situations where lane markings are not readily determinable. The vehicular lane keeping system determines the path of travel even when no lane markings are present on the road. The vehicular lane keeping system maintains the vehicle along the determined path of travel.