Abstract: The invention relates to a housing (5) for an airbag device (4) on a motor vehicle, with a hollow space for acceptance of a container (8) of a gas generator (9) and an airbag (12), whereby the housing (5) includes a main structure and a housing cover which is connected to it and which faces the vehicle occupants when installed, on whose inner side at least one material weakness is formed, which can tear open if airbag (12) unfolds in order to retain the vehicle occupants. To improve the outer appearance of such a housing (5) it is provided that material weaknesses (16, 17) are so slight that they are not visible from the side of housing cover (6) facing the passenger compartment, and that housing cover (6) is also connected with basic housing structure (27) by means of at least one perforation (13).