An apparatus and a method for controlling driving of a vehicle are provided and the apparatus includes a sensor unit that has at least one sensor disposed at sides of a vehicle. In addition, a controller uses sensing information received from the sensor unit to confirm whether the vehicle enters a path and detects obstacles located in the path. The controller calculates a left and right width of the path based on the obstacles and then confirms whether the path is a narrow road. Further, the controller is configured to output a driving guidance to the confirmed narrow road.