Abstract: A device for stacking sheets, especially sheets of paper that arrive overlapped. The device has a layoff platform that can be raised and lowered, a separating mechanism that is positioned behind the stack, that can be raised and lowered, and that can be introduced into the vicinity of the top of the stack, especially between the uppermost sheet and the incoming stream of overlapping sheets, two compression jaws that are positioned at different heights at the rear of the stack, that can be raised and lowered, and that can be inserted into gaps created by the separating mechanism, and an auxiliary stacking platform that is positioned at the rear of the stack, that can be raised and lowered, and that can be introduced into the vicinity of the layoff platform immediately below the lower compression jaw. The object is to provide a device that is of particular advantage with respect to design.