A method and a baling system includes at least one baler (14) for producing highly compressed bales (2) made of artificial fibers. The baler (14) includes a securing device for applying a securing device (3), in particular strapping, to the compressed bales (2). A packaging device (1) applies a bale casing (4) that is closed on all sides to the secured compressed bales (2). The packaging device (1) includes a production and application device (21) for producing a sleeve-type casing (5) and for the application thereof to the compressed bales (2), as well as a sealing device (22) for closing and sealing axial ends (6, 7) of the sleeve-type casing (5) on the uncovered sides of the bales.