The apparatus comprises a screw device (10) arranged to deliver the articles one at a time, in a manner spaced from the others, after withdrawing them from a vertical pile resting on it, means for counting the articles delivered by the screw device (10) and, downstream thereof, a continuous track (20) along which the articles slide in a stacked arrangement and which leads the stacks containing a predetermined number of articles to a final station (50) in which the stacks are positioned horizontally or inclined; finally a rotary device (30) accompanies the stacks of articles of predetermined number and urges them one at a time along said track (20) from the point in which they leave the screw device (10) to the final station (50).