A creep drive control device according to the invention sets a target creep vehicle speed when a driver has neither one of an acceleration intention or a stop maintenance intention. An engine output is increased (or decreased) by a vehicle speed increase processing (or a vehicle speed decrease processing), or a braking force is decreased (or increased), and an actual vehicle speed is controlled so as to be equal to the target creep vehicle speed or a value in the proximity thereof. The target creep vehicle speed, and respective engine output and braking force increase amounts and decrease amounts are corrected and set in accordance with driving conditions, road surface conditions and driver operations.