The present invention relates to a device (1) for compaction and wrapping of round bales, preferably in a round bale press, comprising or adapted for a roll (4) of plastic film (5), and further comprising a number of drive rollers (11, 6, 7) for pulling-off and guiding the plastic film (5) to a press chamber which circumferentially of the round bale is fully or partly limited by a number of press rollers (2) for pressing and rotating the round bale, and in which press chamber the plastic film (5) is applied around the round bale. The last drive roller (7) in guidance direction of the plastic film (5) has a lower rotation speed than a first (2') of the press rollers (2), which results in that the plastic film (5), after a stretching zone (8) between the rollers (7, 2'), exits the press roller (2') with a positive speed difference or a pretension which eases application of plastic film (5) around the rotating round bale in the press chamber. The invention also relates to a method for compaction and wrapping of round bales by means of the above-mentioned device (1).