A projection stereoscopic display includes: a stereoscopic display optical system receiving linearly polarized light from the light source and displaying a first picture and a second picture both having binocular parallax by linearly polarized light with polarization directions orthogonal to each other, in which the stereoscopic display optical system includes: a reflective liquid crystal panel modulating and reflecting linearly polarized light from the light source in response to a picture signal, a first polarizing device splitting the first picture from reflected light from the reflective liquid crystal panel, a retardation device converting the polarization direction of the first picture into a direction orthogonal thereto, and a second polarizing device splitting the second picture from reflected light from the reflective liquid crystal panel, and superimposing the second picture on the first picture of which the polarization direction is converted by the retardation device.