A device (4) for wrapping harvested material bales (43, 43 ') includes a changer (11) and at least one wrapping material dispenser (18) supported on a track around the of the changing table (11) harvested material bales (43, 43') out is. The harvested material bales (43, 43 ') is on the changing table (11) in different, in particular pure, vertically spaced positions supportable.