Abstract: A label stacker for stacking labels (6) from a rotary punching apparatus is provided with a punching roll (14) with cutting edges (16) and a smooth counter-pressure roll (15) for, during operation, jointly punching labels out of a thin web (3) conveyed between the rolls while these are rotating in different directions. The label stacker includes a belt conveyor with at least one endless belt (27) which, during operation, is driven with a lower speed than the circumferential speed of the rolls about a first rotating roll (29) at the discharge end of the rolls and a second rotating roll (30) at the stacking area. Thereby, the label stacker is given a compact structure, and it will be able to safely control the labels to the stacking area in an orderly formation which successively, during the final stacking, is pushed together to a stack of labels arranged correctly on top of each other.