Demand exists for a control device capable of suppressing the occurrence of torque shock generated in conjunction with the engagement of an engagement-side engagement device when the required drive force for a wheel is low and after the target gear position is set to a gear position having a higher gear ratio than the current gear position. When the target gear position is set to a gear position having a higher gear ratio than the current gear position, in a state where the required drive force is no more than a control determination value, the control device: determines that implementation conditions for engagement restricting downshift control have been fulfilled; starts movement control that moves a disengagement-side engagement device to an indirect-engagement state; starts rising rotational speed control after the disengagement-side engagement device has moved to the indirect-engagement state, whereby the rotational speed of an input member is controlled to be higher than synchronous rotational speed; starts differential rotational speed control whereby the rotational speed of the input member is controlled to be higher than synchronous rotational speed; and prohibits engagement of the engagement-side engagement device until the rotational speed of the input member is higher than synchronous rotational speed.