A stereoscopic display device includes a 3D formatter for aligning a left eye image data and a right eye image data received from an outside of the stereoscopic display device in an interlaced method and forwarding the same, a data compensating unit for selecting a compensation data on the left eye image data and the right eye image data received from the 3D formatter from a compensation look-up table having the compensating data on the left eye image data and the right eye image data on each gray scale preset thereon, and compensating the left eye image data and the right eye image data, and a panel driving unit for displaying the left eye image data and the right eye image data from the data compensating unit on a display unit alternately in lines.