In a downshift of an automatic transmission in a state where an accelerator pedal is depressed, one of a clutch-to-clutch shift in which the shift is carried out by gradually reducing an engagement pressure of a clutch or a brake to be disengaged in the shift and a rotation synchronization shift in which the shift is carried out by reducing the engagement pressure of the clutch or the brake more quickly than in the clutch-to-clutch shift is selected based on an output shaft torque of the automatic transmission, a region where the rotation synchronization shift is selected is lower in output shaft torque than a region where the clutch-to-clutch shift is selected, and hence it is possible to appropriately selectively execute a shift placing emphasis on a shock and a shift placing emphasis on a shift speed in accordance with the output shaft torque.