A display apparatus and a method of driving the same for performing local dimming that is suitable for displaying a three-dimensional (3D) image. The display apparatus receives a video signal containing a left-eye image and a right-eye image, processes the video signal, displays a three-dimensional (3D) image on the basis of the processed video signal, emits light to a display unit by local dimming, and controls the light source unit to be driven based on dimming information about at least one of the left-eye image and the right-eye image.