A three-dimensional image processing apparatus and a method of controlling power of same are provided. The three-dimensional image processing apparatus may include a display, a three-dimensional image filter disposed a prescribed distance from the display to adjust optical paths of the displayed view images, a camera configured to capture an image of a user, an ambient light sensor, and a controller configured to control the view images, the three-dimensional image filter, or the camera. The controller may determine a position of the user based on the captured image and adjust a perceived three-dimensional view of the view images based on the determined position of the user. Moreover, the controller may control an operational state of the camera and the at least one process based on the determined position of the user or a detected amount of ambient light.