An airbag arrangement for a motor vehicle includes an airbag, which can be unfolded by filling with a gas, and a sheathing, in which the airbag is arranged before and after filling. The airbag is provided and is to be arranged on the motor vehicle in such a way that, before filling, it is located in the region of a first end of the sheathing and/or a vehicle pillar of the motor vehicle and can be unfolded by filling inside the sheathing and along at least one section of the vehicle pillar up to a second end of the sheathing and/or the vehicle pillar. The invention further relates to a motor vehicle having such an airbag arrangement.