An ECU of a driving support system as a route candidate setting system is configured to provide a first curved line represented by a first function having x coordinate as a variable and y coordinate and a second curved line represented by a second function having x coordinate as a variable and y coordinate and having a lower degree than the first function, and set the first and second curved lines as traveling-route candidate RC. In a case where an obstacle is detected by a camera and a radar, the ECU is configured not to provide the first curved line having its terminal point corresponding to a grid point Gn located on a forward side, in an advancing direction of a vehicle, of the obstacle and the second curved line having its start point corresponding to this grid point Gn.