A device and a method for sorting and stacking glass plates of different thicknesses and/or different formats over a divided transport line is described. The device and method are characterized by the following: 1) an aligning device which aligns the glass plates against a left and/or a right abutment strip by means of controllable rolls; 2) a stacking device which lowers the plates supplied by the aligning device and stacks them one above the other; 3) a connectable paper insertion device which lays paper from a store onto a plate; 4) an upright positioner which rotates the stacked plates by a right angle and aligns them on a vertical aligning device; 5) and a robot gripping arm which grips the glass plates aligned on the upright positioner and transports them away for further use.