A three-dimensional (3D) image processing apparatus and a method for processing a 3D image are provided. The 3D image processing apparatus includes a control unit which independently sets a left-eye image quality of a left-eye image and a right-eye image quality of a right-eye image; and a 3D implementation unit which processes the left-eye image and the right-eye image in accordance with the set left-eye image quality and the set right-eye image quality, wherein the left-eye image and the right-eye image are included in a 3D image.