A buffer memory capable of storing contents of a plurality of tracks of a disk volume is provided in a disk controller or a disk drive, and in dump processing requested by a higher rank unit (CPU) to the disk controller, the data is immediately transferred from the buffer memory if the data to be dumped is present in the buffer memory, and if the data to be dumped is not present in the buffer memory, dump prefetching into the buffer memory is started and the execution of the dump processing is interrupted so that an on-line input/output operation other than the dump processing is accepted. When the dump prefetching into the buffer memory is over, the interrupted dump processing is resumed.