A display apparatus and a method for controlling the display apparatus are provided. The display apparatus includes a display panel unit, a reflector disposed on the display panel unit, a radiator, an illumination sensing unit, and a controller. A color of the reflector is changeable according to a temperature thereof, and the reflector is positioned to reflect light incident on the reflector from outside the display apparatus. The heat radiator generates heat to control the temperature of the reflector, and the illumination sensing unit senses an illumination value of light incident on the display apparatus from outside. The controller controls the heat radiator to change the temperature of the reflector according to the illumination value sensed by the illumination sensing unit.