A control apparatus for a vehicle having a step-variable transmission. The control apparatus includes: a shift control portion to temporarily increase an input torque of the step-variable transmission beyond a required value, the shift control portion commanding an engaging-side coupling device which is the coupling device placed in a released state, to be brought into an engaged state, when the input speed has been raised to a predetermined value; and a torque increasing amount setting portion to set an amount of increase of the input torque of the step-variable transmission beyond the required value, such that the amount of increase is smaller when a rate of change of a running speed of the vehicle is relatively low than when the rate of change is relatively high, the rate of change of the running speed having a negative value in a decelerating state of the vehicle.