To appropriately suppress the speed of a creep run of a vehicle due to a creep phenomenon.

A control device is used for a vehicle in which driving force output from an engine is input to a transmission 8 via a torque converter 7 and is transmitted to an axle 103. The control device performs control so that a lock-up clutch 73 of the torque converter 7 is brought into a sliding friction state during a creep in which an accelerator pedal is not depressed. Thereby, a torque ratio of the torque converter 7 is decreased, torque transmitted to the axle 103, that is, a creep force is reduced and the speed of the creep run is decreased.