The invention creates an airbag device, wherein a driver's airbag is provided, at least substantially “stationary” relative to a steering wheel movement, and which has a shape that at least partially covers an adjacent A column of a vehicle in the inflated state or has a butterfly-like shape, which is correctly correlated with the driver by the embodiment of the driver's airbag stationary in any steering wheel position. Furthermore, the invention creates an operating method for such an airbag device.