Embodiments of the present application provide a 3D display apparatus and a method for driving the same. The apparatus includes: a backlight assembly forming bright stripes and dark stripes arranged alternately; a liquid crystal display panel displaying a left eye image of a 3D display signal by a first set of pixel units and display a right eye image by a second set of pixel units; a location tracking unit acquiring a location of a viewer; and a control unit adjusting position of the bright and dark stripes and deflection of liquid crystal of the liquid crystal display panel such that a light emitted from the bright stripes is allowed to pass through corresponding first set to be received by left eye and to pass through corresponding second set to be received by right eye respectively. Embodiments are used in manufacturing of a 3D display apparatus.