An image display apparatus and a method for operating the same are disclosed. The image display apparatus includes a camera configured to capture image; a display configured to display a three-dimensional content screen, and a controller configured to change at least one of a depth of a predetermined object in the 3D content screen or an on screen display (OSD) if the OSD is included in the 3D content screen, wherein the display displays a 3D content screen including the object or OSD having the changed depth. Accordingly, it is possible to increase user convenience.