The method for producing a container consisting of a rigid outer container and a deformable inner bag. A first screw conveyor supplies a first thermoplastic plastics material for the outer container and at least a second and a third screw conveyor supplies at least a second and a third thermoplastic plastics material for the inner bag to an extruder which coextrudes a parison consisting of at least the first, second and third layers. The parison is inflated by a pressure medium to bring it into contact with the wall of the blow mould, where excess material below the welded seam is cut off and the container is removed from the blow mould. The second thermoplastic plastics material forming the outer layer of the inner bag consists of a material which, in the hardened state, has a rough surface having microscopically small elevations and depressions.