A closure for a container for holding contents therein generally comprises a surface for gripping the closure in order to twist it in either direction to open it. The closure has downwardly projecting teeth on its underside; the container has upwardly projecting teeth, which mate with the downwardly projecting teeth of the closure. An outer ring on the closure circumscribes and holds in place the upper lip of the container in the closed position. Twisting of the closure in either direction causes the closure to be released from the container.