A driving support device includes: a preceding vehicle recognizer that recognizes a preceding vehicle; a lane mark recognizer that recognizes a lane mark; a path following controller that controls the own-vehicle; and a lane maintaining controller that controls the own-vehicle when a vehicle speed of the own-vehicle is greater than or equal to a predetermined speed. The driving support device further includes a prediction unit that predicts a shift of the own-vehicle to a running state with the predetermined speed or greater, and while the own-vehicle is under control of the path following controller, when the preceding vehicle ceases to be an object recognized by the preceding vehicle recognizer, the vehicle speed is less than the predetermined speed, and the prediction unit (control management unit) predicts the shift of the own-vehicle to the running state with the predetermined speed or greater, the lane maintaining controller controls the own-vehicle.