When a transmission selector lever is operated from P or N range to D range, an input clutch to be engaged at the fifth gear position is temporally engaged to reduce shift shock when the engaging element for the first gear position is engaged. An oil pressure command value for actuating the input clutch is increased with a constant inclination from a start point oil pressure value, and the start point oil pressure value is lowered when the engine speed is low or when an oil temperature is high. Even if a timing of completion of filling of working fluid to the input clutch is fluctuated, the difference between the actual oil pressure and the oil pressure command value is suppressed to a small level and the occurrence of shock due to surge at the time of the filling completion is prevented.