The invention relates to an airbag assembly comprising an airbag through-opening arranged over the chute channel of the airbag, which opening is closed by at least one airbag flap and an, in particular sprayed-on, covering made of plastic and secured over the airbag flap, wherein the covering has at least one target break line at the edge of the airbag flap in order to enable the unfolding of the airbag cushion, and wherein the airbag flap is connected via a joining point to a flap support wall in a moulded manner, which is in contact with the inner side of the chute channel wall in a secured manner, wherein am additional flat element is inserted (as a cover) in the chute channel between the airbag cushion and the airbag flap, which flat element at least partially overs the airbag flap and the inner side of the chute channel wall.