An autostereoscopic 3D display apparatus, and a light source driving method thereof, includes an image receiver configured to receive an image, an image analyzer configured to analyze the image input through the image receiver, a 2D light source configured to generate a 2D image, a 3D light source configured to generate a 3D image, and a controller configured to drive the 2D light source and the 3D light source based on a result analyzed through the image analyzer in response to the display apparatus being operated in a 2D mode.