A packaging of compressed bales (1) includes packaging (11) surrounding the compressed bale. The compressed bale is formed from highly compressed, preferably short-cut, textile fibers and has mutually opposite pressing sides (5, 6), which are acted upon by a pressing device (32) in a pressing direction (10), and circumferential sides (7, 8), which are arranged between the pressing sides. The packaging has multipart film packaging (12) resting on the bale body (4) and first strapping (22) with a plurality of parallel endless bands (23) that are laid over the pressing sides of the compressed bale. An additional strapping (25) having a plurality of endless strapping bands (26, 27) are applied to the compressed bale. The strapping bands are laid peripherally only over the circumferential sides and are arranged externally on the film packaging and on the bands. The strapping bands cross the bands, forming cross strapping (21).