A control apparatus is applied to a vehicle that has shift modes including the continuously variable shift mode, in which a ratio of the rotational speed of a power source to the rotational speed of a drive shaft is continuously adjusted, and the stepped shift mode, in which the ratio is fixed. The control apparatus includes a control unit that controls the torque that is output from the power source to make the time that is required to bring the drive torque of the drive shaft from a predetermined value to a target value in the stepped shift mode equal to the time that is required to bring the drive torque of the drive shaft from the predetermined value to the target value in the continuously variable shift mode. In this way, the difference in drivability between the continuously variable shift mode and the stepped shift mode is minimized.