A display device (19) such as a light box comprises: a housing (2); a light source (20) accommodated in this housing; and at least one diffusely translucent display face (6) illuminated by the light from this light source (20). The light source is a LED-module. Respective orienting means are added to each LED of the light source (20) so as to obtain a directional characteristic of the light emitted by the light source (20) such that the light source directly illuminates at least one wall (18) almost exclusively. This at least one wall (18) is diffusely reflective such that a part of the light incident thereon is reflected to the display face (6). This has an almost constant luminance as a result.