A stereoscopic image display apparatus for causing an observer to observe a stereoscopic image, includes a light source for illuminating, with a surface illuminant, a mask substrate on which a mask pattern including aperture portions and shielding portions arranged in a checkerboard pattern is formed, a vertical cylindrical lens array including vertical cylindrical lenses each having a generatrix in a vertical direction, and a transmission type display device for displaying an image on scanning lines. Right stripe pixels and left stripe pixels are alternately arranged in a predetermined order to form one image, thereby displaying a horizontal stripe image on a display surface of the display device, and light beams emitted from the light source, to which directivity is given by the vertical cylindrical lens array, irradiate the horizontal stripe image. The light beams are separately condensed on at least two regions to make the observer to see the horizontal stripe image as a stereoscopic image, and a horizontal width of a pair of an aperture portion and a shielding portion arranged on the mask pattern in a horizontal direction is set to be not less than twice a horizontal pixel size of the display device.