A rubber layered structure used for a weather strip or a glass run, which includes an EPDM rubber base and an ornamental surface layer or a functional surface layer for enhancing slidability of a door glass. An ornamental or functional surface layer is stuck to an EPDM rubber base with a laminated film. The laminated film includes a first layer of an olefin resin with polar functional groups and a second layer of a polar thermoplastic resin. The first layer, which includes a non-polar olefin resin and polar functional groups, adheres to both the EPDM rubber base and the second layer of a polar resin such as polyester. The second layer securely adheres to the surface layer.