Abstract: The present invention is with respect to an overpressure valve for packages with flexible walls, having a valve body able to be fluid-tightly joined with such a package. The valve body has a flat valve seat having thereon a diaphragm with a valve shutting part. In the seat there are valve openings, each having a number of concentric ring-like channels round it in the seat. The concentric channels take up a sealant, more specially silicone oil. The diaphragm is made of a single piece of material running on one side of the walls to the other without any holes therein. It is only kept in position in a middle part of the valve seat so that the diaphragm may be moved freely, at least over the valve openings. In the case of a preferred form of the invention, the diaphragm is slipped loosely into the valve body in which it is kept in position by a keeper in a middle part thereof. The keeper may be fixed in position by friction or by a keying effect.