According to the invention, in a system that provides driving support for a vehicle, if a solid body is recognized in an advancing direction of a host vehicle, at least one avoidance target trajectory that allows a collision of the host vehicle with the solid body to be avoided are acquired on the basis of a traveling state of the host vehicle. Then, if the acquired avoidance target trajectories exist in both right and left sides of the host vehicle across the solid body, the control regarding the braking of the host vehicle is performed without performing the control regarding the turning of the host vehicle.