A glove stacking apparatus forming a stack folded gloves has a supporting surface for supporting the stack as folded gloves are added to the stack along a stacking axis. First and second flaps are pivotable about first and second pivot axes opposite first and second sides of a glove stacking area. The supporting surface is relatively movable as folded gloves are added to the stack. A cyclic flap actuation system is configured to drive a folding action of each flap in which the flaps alternately pivot about the corresponding pivot axis so that each flap folds a first portion of a deposited glove overlapping a flap towards a second portion of the glove at the glove stacking area; the folding action alternating as gloves are added to the stack. Each flap in addition to being pivotable is also laterally movable both towards and away from the stacking area.