A gas bag arrangement for a motor vehicle is provided. The gas bag comprises a gas bag which can be deployed for the protection of a person present outside the vehicle along at least a section of the front window and/or another portion of an outside of the motor vehicle and a housing in which the gas bag is arranged, wherein the housing is different from a cover of a receiving region of the motor vehicle extending before the front window. The housing is designed such that it at least partly covers the gas bag towards the cover of the motor vehicle-based on the condition of the gas bag arrangement mounted in the vehicle.