The driving output of the electric oil pump during an engine automatic stop is learnt by gradually increasing the driving output of the electric oil pump after an engine automatic stop and discriminating a state immediately before engagement on the basis of the behavior of an input shaft rotation number and a turbine rotation number. Thereby, the working oil pressure supplied by the electric oil pump during an engine automatic stop immediately after an engine automatic stop can be made suitable even if a vehicle is in a stopped state without adding an oil pressure sensor and an oil pressure switch, and a vain increase in power consumption, a deterioration of acceleration responsiveness at the time of an engine restart, generation of shock, or a soaring of the number of engine rotations can be prevented.