A system for controlling a vehicle that controls driving force and braking force such that a vehicle speed is maintained at a target vehicle speed. More specifically, when the vehicle speed exceeds the target vehicle speed, the system for controlling a vehicle maintains the driving force at or above a predetermined value, and applies braking force to the vehicle such that the vehicle speed is maintained at the target vehicle speed. This provides the vehicle with sufficient driving force for uphill driving following the downhill driving, and thus to travel uphill without significant speed loss. In other words, the vehicle ascends the uphill road smoothly at an approximately constant speed.