A method to control a refrigerator includes changing a transparent display assembly to be in a first or transparent state allowing an inner space of the refrigerator to be visible through the transparent assembly, a second or opaque state so as to conceal the inner space, and a third or a display state to display information on a display of the transparent assembly. The transparent display assembly includes a front panel, a rear panel, an outer spacer configured to maintain a first distance between the front panel and the rear panel, a display provided on a rear surface of the front panel, a light guide plate spaced apart from the display, and a first spacer configured to support the light guide plate and to maintain a second distance between the display and the light guide plate.