Abstract: A method attaches small plastic parts securely in a defined position on compression molded parts consisting substantially of bonded or synthetic resin bound natural fibers or chips. The parts are compression molded into the desired shape in a compression mold from a preformed, loose layer of a mixture of at least one of natural fibers and chips and of binder introduced into the compression mold, while undergoing a setting reaction of the binder and a volume reduction of the layer. During the compression molding operation, at least one clearance or thin portion, smaller than the small plastic part, is formed in the wall of the compression molded part at the fastening point of the small plastic part on the compression molded part. Thereafter, a direct form-fitting injection molding of the small plastic part or parts onto the wall of the compression molded part at the fastening point is carried out.