an airbag for a motor vehicle includes an airbag skin having two side walls which enclose a gas chamber . the airbag skin is at least partially rolled to a shaped package in the resting state of the curtain airbag , with the shaped package having a non - circular cross - section . in order to provide a cost - effective way to produce such an airbag and to ensure that the airbag shows a deployment behaviour of a rolled package , the non - circular cross - section is permanent as long as the pressure inside the gas chamber does not exceed the pressure of the environment and is obtainable by plastic conversion of a rolled package with a circular cross - section .