A cylinder cutoff control apparatus of an engine initiates a cylinder cutoff mode only when two conditions, namely a low load condition such as a vehicle cruising condition and an intake valve closure timing controlled to a given timing value before a bottom dead center, are both satisfied. A fuel cutoff mode is executed prior to the cylinder cutoff mode. During a transition to the cylinder cutoff mode, the control apparatus holds an intake valve open timing at a given timing value substantially corresponding to a top dead center, simultaneously with reducing an intake valve lift amount of each intake valve, subjected to cylinder cutoff control, to a zero lift. Immediately when the intake valve lift amount is reduced to below a lift threshold value, an exhaust valve lift amount of each exhaust valve, subjected to the cylinder cutoff control, is controlled to a zero lift.