A packaging device is provided for highly-compacted compressed bales (2), which are provided with a fixation (3). The packaging device (1) has a sheathing device (16) for applying a shrink wrapping, which has at least one prepared and diverted stretching hood (4), to the compressed bales (2). A bale compression facility is also provided having at least one bale press (6) for generating highly compacted compressed bales (2), which are provided with a fixation (3), and having at least one packaging device (1) according to the invention. A process is provided for packaging highly-compacted compressed bales (2), which are provided with a fixation (3), wherein said compressed bale (2) is provided with a shrink wrapping, wherein at least one prepared and diverted stretching hood (4) is applied to said compressed bale (2) using a sheathing device (16).