The storage device of the present invention provides a decompression VOL having no corresponding relationship (mapping) with a final storage media to a superior device, and receives accesses from the superior device to the decompression VOL. Then, data written into the decompression VOL is compressed on-line in a cache memory, and the compressed data is mapped to a compression VOL which is a volume mapped to a final storage media. At the same time, by maintaining and managing a mapping information between an area in the decompression VOL where data has been written and a location in the compression VOL to which compressed data of the relevant data is mapped, when a read request is received from a superior device regarding the decompression VOL, the storage device converts a location information in the decompression VOL designated by the read request to a location information of the final storage media.