A height of a rack container or shelf is shiftable with an easy procedure and slight effort, to improve user friendliness even when disposed at quite a height from the floor within a storage chamber or compartment. An adverse effect on a downward adjacent shelf is avoided to improve or retain actually usable volume on the adjacent shelf. A rack apparatus or a refrigerator includes stationary rails, a traveling rail, arms hinged on a traveling rail to be turnable in one way or other, a rack support connecting the arms, and a rack container supported on the rack support. The rack container can be shifted forward by the traveling rail and be shifted upward and downward with keeping its horizontal posture, by turning of the arms.