Device for automatic stacking of packages on a support in a predetermined spatial arrangement for formation of a stack, having at least one supply conveyor which provides the separated packages (W) in a predetermined succession, a lifting and lowering unit for lifting and lowering a support disposed in a stacking site in the Y direction and a displacement device which adjoin an output end of the supply conveyor and which receive packages (W) from the supply conveyor (2) and transport them to the predetermined position in the stack (S). The displacement device includes a positioning conveyor adjoining the output end of the supply conveyor and being disposed horizontally and longitudinally with respect to one side of the stacking site in order to position the packages (W) in the X direction, and at least one pushing plate and a pusher (14) in order to transport the packages (W) from the positioning conveyor in the Z direction to the predetermined position in the stack (S). The at least one pushing plate is formed as a flat strip-like plate, formed to be able to move horizontally and along the side of the stacking site and transverse thereto, in order to receive the packages (W) as the packages (W) are being pushed by the pusher off the positioning conveyor at the X direction position and to lay them in the Z direction on the support or in the stack (S). The pusher is formed as an arrangement of a plurality of individual pushers disposed horizontally and along the side of the stacking site, which push the packages (W) off the positioning conveyor in the direction of the stack (S), wherein the individual pushers can each move independently of the at least one pushing plate in the Z direction in order to retain the package (W) when the pushing plate is being withdrawn.