An engine is restarted in response to an idle stop OFF command at t1 so that a gear shift control purpose hydraulic pressure is raised according to a working oil from an engine driven oil pump. An idle stop release time control of the engine is allowed according to a torque down unnecessary determination when a gear shift control purpose hydraulic pressure has reached to a set hydraulic pressure at t2. In a case where this allowance causes an engine torque Te to be raised from a torque down value toward a driving operation corresponding value by a predetermined gradient ΔTe1, a command value of a starting frictional element engagement pressure Ps is set to a control maximum value during the idle stop control including during the idle stop release time control.