An evacuable bag or container for items which benefit from being stored in a vacuum environment by reason that the bag or container is impermeable to air or liquid, with a first opening for entrance or closure purposes, which first opening has a zipper sealing closure adjacent thereto and integral with said bag or container for closing and opening purposes, the sealing integrity of which is aided by atmospheric and/or differential pressures, and a second opening, with an exit-only valve therein, for connection purposes to an external vacuum source, by which means said bag or container can be evacuated of air or liquid. Thus, this invention provides the constituent key to a relatively inexpensive appliance system for home vacuum packaging of perishables and/or items requiring compression packaging due to limited storage space.