A method of operating a memory system including a memory device, including reading data from the memory device based on a first physical address received from a host according to a read request received from the host; detecting a read error of the read data; correcting the read data based on the detecting; transmitting the corrected data to the host; asynchronously transmitting to the host an error occurrence signal for the read error; generating information about the read error; transmitting the information about the read error to the host; and rewriting the corrected data based on a second physical address received from the host according to a write request of the host.