An apparatus for wrapping a stack of objects with a film has a film supply holding the film and a support including only two vertical masts adjacent the film supply and juxtaposed with the stack to be wrapped. A pull-down device is shiftable vertically along the two masts next to the stack. A film-feed head is also shiftable vertically along the two masts. The film extends from the supply through the film-feed head to the pull-down device. A film-storing means or looper is provided in the film-feed head for storing a variable length of the film in the head.