Proposed are a highly reliable storage system and its control method capable of accelerating the processing speed of the copy processing seen from the host device.With the storage system and its control method which stores a command issued from a host device in a command queue and executes the command stored in the command queue in the order that the command was stored in command queue, a copy queue is set for temporarily retaining a copy command among the commands issued from the host device in the memory, the copy command among the commands is moved from the host device stored in the command queue to the copy queue and an execution completion reply of copy processing according to the command is sent to the host device as a sender of the command, and the copy command that was moved to the copy queue is executed in the background in the order that the copy command was stored in the copy queue.