Abstract: A container having a rimmed shrink cap closing the mouth thereof. The shrink cap comprises a cover made of a nonshrinkable material and having an outer diameter somewhat larger than the external diameter of the tubular mouth of the container. The shrink cap also comprises a tubular skirt portion made of a shrinkable material. The upper end of the tubular skirt portion has substantially the same outer diameter as that of said cover. The skirt portion of the cap is shrunk so that the lower portion of the skirt is in tight sealing contact with the neck of the container and the upper edge portion of the cap is formed in the shape of a laterally outwardly projecting rim. Because of the thus-formed rim, the cap can readily be twisted so that it can be removed from the tubular mouth of the container.