A plastic beverage closure including a base wall, a peripheral skirt and a plurality of threads on the inner surface of the skirt for engagement with the threads of a container which may be made of glass or plastic. The plastic closure includes a compression molded seal extending about the periphery of the inner surface of the base wall and the juncture of the base wall to the peripheral skirt. The closure includes a central axially thickened portion; a channel surrounding the thickened portion and extending radially to an annular radially thickened portion on the skirt at the juncture with the base wall. A concave surface extends from the base of the channel and merges with the surface of the annular portion. A compression molded liner is provided on the thickened portion, channel and concave surface of the closure and defines a planar sealing surface of contact with the end surface of the finish of a container and an arcuate surface for engaging the arcuate surface of a container. In other forms, the closure can be used as a closure for non-beverage products.