Abstract: The invention relates to an apparatus for stacking at least two sheets, an apparatus comprising a vertically movable stacking platform and an intermediate support member with a width advantageously essentially equal to that of a stacking platform. The intermediate support member is adapted movable into a position above the stacking platform or above a stack of at least one sheet placed on the platform and over which intermediate support member the next sheet or sheet substack is brought and which intermediate support member is then retracted from between the overlying sheets, whereby the sheets are simultaneously aligned against a back gage. The intermediate support member is made from a flexible multilayer material having at least one layer made from a material having a substantially high tear resistance.