PURPOSE: To reduce gear shifting shock and also liquidate idle running feeling of a vehicle, etc., by setting the set delay time of a delay means that retards the engagement of friction elements based on the rotation speed on the side of input detected by means of a rotation speed detecting means.

CONSTITUTION: Respective gear shifting controls are performed by a controller that possesses a CPU, etc., inside. A delay means that corrects a gear shifting means so as to delay the engagement of a coast clutch 17 that administers the response of engine brake by the action of a first one-way clutch 16 only during the set delay time until actual turbine rotation speed falls below the set rotation speed when gear shifting is performed to a shifting stage that shifts to third speed on which engine brake acts due to lowering of engine load is constructed. Further, a delay time setting means that determins a set rotation value wherein extra rotation speed is added on estimated rotation speed after shifted based on actual turbine rotation speed at the starting time of shifting, and sets the set delay time of the delay means so as to delay the engagement of the coast clutch 17 until the actual turbine rotation speed falls below this set rotation value is constructed.