A collision protection device for the occupants of a motor vehicle having a fabric air bag having a top part, a bottom part and a plurality of catch belts arranged within the air bag. The catch belts are formed by the fabric segments of the reinforcing parts mounted on the inside of the top and bottom parts of the bag. The fabric segments being set in the direction of the interior space of the air bag and are sewn together in an overlapping configuration in the center zone to form a joint between the top and bottom parts of the air bag. Each of the catch belts is at least double-layered and extends into the interior space between the top and bottom parts of the air bag, each of the layers being connected with each other in the joint formed at the center zone.