A driving force control system for a vehicle configured to control a driving force based on the accelerating operation by the driver. The vehicle comprises a drive unit including a prime mover and a transmission, an accelerator device; and a controller. The controller is configured to: calculate an operating amount of the accelerator device; calculate an operating speed of the accelerator device; calculate a target jerk; and control an output torque of the drive unit based on the target jerk, when the operating amount is smaller than a predetermined amount, and the operating speed is slower than a predetermined speed.