A driving support apparatus includes a feedback control system. The feedback control system calculates each operation amount of a brake actuator and a drive actuator so as to match an actual value of a control amount indicating a motion state of the vehicle to a target value. The target value of the control amount is set so as to stop the vehicle to a target stop position. The driving support apparatus sets, when remaining distance from a current position of the vehicle to the target stop position is first distance, a feedback gain of the feedback control system to large value, as compared with the feedback gain set when the remaining distance is second distance which is greater than the first distance.