Abstract: Apparatus for gripping cases of cigarettes from a casing machine and for stacking the cases on a pallet including two fixed and vertical uprights to guide the movements of a bridge which is cantilevered in front of the uprights and which is movable in the vertical direction along these uprights. A suction-cup is rotatable about a vertical axis and is mounted on a carriage movable transversely on a slide which is movable longitudinally on the bridge. The cases of cigarettes are put onto a roller train which moves forward so that each case reaches a presentation position where the suction-cup seizes it. Position sensors detect the presence of a pallet under the bridge and control the movements of the suction-cup so as to distribute the cases in several successive layers on the pallet.