A description is given of a cuboidal multipack for vertically stacked magnetic recording media, comprising a rectangular pallet, a baseplate and top plate and wound roll sets stacked between two intermediate plates in each case, the tape rolls being wound up on flangeless winding hubs provided with internal bores, through which a hub sleeve is inserted, the pack being protected by edges and side parts and a stretch film being drawn around the entire unit. To be able to stack a large number of wound rolls one on top of the other without the risk of damaging the edges of the tape rolls, each intermediate plate, which is provided on its upper side and under side with a ring groove, is supported by means of the end face of the hollow-cylindrical hub sleeve by the next-lower intermediate plate, so that merely the wound pack accommodated in one set is placed with its weight able to bear on an intermediate plate. The intermediate plates may include on their outer edges projections and grooves assigned to them, so that they are able to be transported stacked one on top of the other on the same pallet in return shipment. It is assured by the material selection of the multipack that the entire pack part can be brought into a clean room without the risk of dust and can be taken off with little effort.