A camera for storing photographed images in a storage device connected to the camera through a network and a method of operating the storage device of the camera. The camera includes a photographing unit photographing an object to generate image data of the object; a transfer unit transferring the image data to a storage device to store the image data therein; and a storage device setting unit transferring the image data to at least one second storage device if it is determined that the first storage device is no longer able to store the image data while the image data is being transferred to and stored in the first storage device.