A display apparatus switching between a two-dimensional (2D) display mode and a three-dimensional (3D) display mode is provided. The display apparatus includes: an imaging device configured to capture an image a pair of 3D glasses worn by a user to view an image displayed in the 3D display mode, wherein the 3D glasses are switchable between a plurality of different states; a transmitter/emitter module configured to remotely control the 3D glasses so as to switch the states of the 3D glasses; and a controller configured to determine whether the user is wearing the 3D glasses based on a state of the 3D glasses in the image captured by the imaging device, and to control the display apparatus to operate in the 3D display mode when it is determined that the user is wearing the 3D glasses.