Abstract: A covering for an airbag module accommodated in the door lining and/or in the instrument panel of a vehicle. The covering has a main part of plastic comprising an airbag-attaching component and an airbag-covering component. The airbag-covering component can optionally be covered with expanded plastic. The module has a cover of real or imitation leather. There is at least one area in the form of a flap that can be ripped open in the vicinity of the airbag-covering component. The rip-open area is demarcated by a break-open line, constituted by a weakening of the material and by a hinging line. The covering is characterized by a groove-like outer depression along the break-open line that extends over the whole width of the covering and in that the cover is forced into the depression, doubling the material.