An image display apparatus and a method for operating the same are disclosed. The method for operating an image display apparatus includes receiving a 3-dimensional (3D) image, detecting the depth of the 3D image, performing 3D processing on an audio signal received in synchronization with the 3D image in correspondence with the detected depth, and outputting the audio signal subjected to 3D processing. Thus, it is possible to output the audio signal in correspondence with the depth of the 3D image during 3D image display.