Abstract: A cover for an open top of a drinking vessel, such as a drinking glass, cup or bottle has a cover member and a securing member configured for positioning over the open top. In one of the embodiments, the cover member has a disk-shaped portion and a tubular downwardly extending flange, which fits over the glass rim. The securing member tightens about the flange to retain the cover member in place. In other embodiments, the cover can be formed as a clutch bag closure member, or as a minor compact. The bottle neck cover is configured as pair of spaced-apart cylindrical sleeves connected by a flexible middle portion. The exterior surface of the cover can be embellished with decorative elements.