Abstract: A stacking device for stacking random size sheets. The stacker is adapted to receive a steady or intermittent flow of sheets of varying lengths, widths, and thicknesses randomly discharged from a transport system. The sheets are received in any of a number of pockets which are formed by adjacent flexible webs; each of these webs is secured at one end to the peripheral edge of a disc. As the leading edge of the sheet enters the pockets, the curved configuration of the webs in conjunction with the pinching effect of the webs acts to decelerate each sheet. The carrier delivers the inserted sheets to a stripping station where the previously-inserted sheets are removed and deposited on a stacking platform.