An ECU executes a program including the steps of: starting disengagement of a C2 clutch and a B1 brake when downshifting a transmission implementing gears in accordance with combinations of engaged clutches and brakes from sixth gear to third gear, or disengagement of the C2 clutch and a B3 brake when downshifting from fifth gear to second gear; when at least one of the C2 clutch and the B1 brake, or at least one of the C2 clutch and the B3 brake, is completely disengaged, starting engagement of a C1 clutch and the B3 brake when downshifting from sixth gear to third gear, or engagement of the C1 clutch and the B1 brake when downshifting from fifth gear to second gear.