A laser projection display and a method of compensating for image distortion of the same stereoscopic liquid crystal display device having a touch panel and a method for manufacturing the same are disclosed. Herein, the method includes displaying a picture including a red image, a green image, and a blue image, selecting one of the red image, the green image, and the blue image so as to perform pixel alignment of the picture, calculating pixel coordinate values x+dx and y+dy corresponding to the selected image (herein, x represents the x coordinate value prior to alignment, y represents the y coordinate value prior to alignment, dx represents a varied x coordinate value after alignment, and dy represents a varied y coordinate value after alignment), calculating distortion compensation coordinate values X′ and Y′ corresponding to the pixel coordinate values x+dx and y+dy, and mapping the distortion compensation values X′ and Y′, thereby compensating for an image distortion occurring in the selected image.