Abstract: A machine to assemble cardboard boxes by stages while ensuring they remain in square, comprising at least three box folding and assembly stations; a conveyor belt; multiple pairs of buckets, each pair being mounted on a fastening chock which is carried by the conveyor belt; a support flap affixed to each chock on the vertex corresponding to the flat side of the support flap; a storage cart for pre-shaped, folded boxes, hereinafter referred to as pre-shapes, mounted on a couple of conveyor belts; Four suction pads mounted on a transport mechanism; a belt mounted on the storage cart; a plate to close the front bottom lid of the box; a plate to close the back lid; a device to apply glue to both lids; and a pressure plate.