A display device includes: a light source section; an optical modulator modulating light from the light source section based on a picture signal, to emit modulated light as picture light; a direct-view display section performing direct-view display based on the picture light; a projection optical system performing projection display on a projection screen based on the picture light; an optical member allowing the picture light from the optical modulator to travel toward at least one of the direct-view display section and the projection optical system; and a switching section performing control of traveling direction of the picture light on the optical member, to switch between two or more display modes which are selected, to include a two-way display mode, from a group consisting of a direct-view display mode, a projection display mode, and the two-way display mode.