An airbag arrangement for a vehicle occupant restraint system includes an airbag on a side of a backrest of a vehicle seat that when inflated first extends substantially in a direction of a vertical vehicle axis and then forward from a backrest in a direction of travel of the vehicle. The airbag includes at least one inflatable chamber extending substantially forward from the backrest in the direction of travel and that is assigned to a body region of a vehicle occupant to support the vehicle occupant in a side collision. The at least one chamber is extended by a section that extends forward in the direction of travel when the airbag is inflated so that the airbag supports the vehicle occupant if vehicle occupant moves obliquely forward in the direction of travel because the section intercepts the associated body region of the vehicle occupant.