Abstract: A device for covering bales of unpacted fiber materials includes a winding device, which has spaced apart substantially parallel first and second rolls of bale covering material, on which a single covering material is wound such that the material extends between the two rolls of material. A bale of the fibrous material is formed on a support which, in one embodiment, comprises a carriage so that there is a relative movement between the bale support and the winding device, so as to cause the support with the bale to move through the plane of the covering material, thus, cause the material to wrap around the adjacent end and the sides, and up to the front end which is opposite the adjacent end. Covering material ends, which are arrived at the front of the bale are directed to a clamping device so that they are closed in the front of the bale.