An apparatus for wrapping a stack of objects vertical side faces and a horizontal top face has a unit for wrapping a film wrapper around the stack such that respective sections of the wrapper extend upward from each of the side faces. A first welder welds ends the film wrapper together at one of the side faces of the stack. A fold-over device folding the film sections over onto the top face of the stack. A second welder welds the folded-over film sections together on the top face of the stack.