Abstract: In an installation for stacking plate-like elements, in particular fibre plates, supplied on an infeed conveyor, a compact construction and rapid and reliable processing are obtained by a controlled level switch which takes an infed element into one of a number of buffer stations which are situated above one another, with downstream thereof a stacking station with a number of stacking units situated above one another, each with a controlled removable support, and below them a receiving support on which the elements, falling over a short distance, land.