A method of operating a storage device includes receiving a write task from a host device. The method also includes storing the write task in a task queue included in the storage device. A write execution command is received from the host device. The method includes executing the write task in response to the write execution command and performing an internal management operation of the storage device after the write task is stored in the task queue and before the write execution command is received. The response time of the storage device to the write execution command is reduced and performance of the system is enhanced by performing the internal management operation such as the data backup operation during the queuing stage and the ready stage in advance before receiving the write execution command.