The vehicle includes a drive source, a transmission that shifts power from the drive source and transmits the power to the drive wheels, and a control device that controls the drive source and the transmission. The control device executes a downshift delay process of changing the timing of the downshift of the transmission to the low vehicle speed side as compared with the case where the predetermined condition is not satisfied when the predetermined condition is not satisfied, when the subject vehicle is in the following mode that follows the forward vehicle, the overtaking with respect to the forward vehicle is restricted, and the predetermined condition of the accelerator off and the brake off is satisfied.