A stereoscopic image display apparatus which can accurately visually recognize all the regions of a stereoscopic image without using a varifocal lens, and can form a natural three-dimensional image on a retina with a processing load on a computer eased even if an image is viewed by a plurality of viewers from any positions. A stereoscopic image display apparatus for generating a stereoscopic image that forms three-dimensional image on a retina of a viewer and displaying it, wherein a critical parallax that is the boundary of parallax capable of forming a three-dimensional image on a retina of a viewer is calculated, the dimensions of rectangular parallelepiped inscribing a sphere having a diameter as the calculated critical parallax are calculated, a space including an object is divided into a plurality of spaces using the calculated rectangular parallelepiped, a stereoscopic image of the object with respect to a single gazing point is generated for each divided space, and the plurality of generated stereoscopic images are pasted together to generate a single stereoscopic image and display the generated single stereoscopic image.