Provided is a three-dimensional (3D) image display apparatus, which can sense a displacement of a display using a gyroscopic sensor and control a 3D image displayed on the display using the sensed result. The 3D image display apparatus includes a body, a display displaying a 3D image, a gyroscopic sensor mounted on the body and sensing the displacement of the display, and a controller selecting one of at least two-viewpoint three-dimensional image data according to the displacement of the display sensed by the gyroscopic sensor and providing the selected data to the display. Multi-viewpoint three-dimensional image data can be provided according to the displacement of the display relative to a viewer's position.