A holder for a noncircular, hermetically sealed fluid container with a flexible sidewall has a plurality of ribs inwardly extending from at least one side wall of the container. The ribs stand off an outer surface of a container sidewall portion from the inner surface of the holder sidewall through a range of differential pressures between the contents of the container and the ambient atmosphere. This prevents the container from binding on the inner surface of the holder sidewall even when the container sidewall portion is deformed by an increase in differential pressure. The holder has application in environments in which the difference in pressure could dramatically change, such as in the interior of vehicles or the out of doors.