An illumination device may include a hollow body having at least one light emission opening, wherein the hollow body has at least partly a reflective surface at its inner side, and at least one semiconductor luminous element, wherein a predominant portion of the light emitted by the semiconductor luminous element is incident on the inner side of the hollow body and is reflected from there through the light emission opening. The device may furthermore include a covering for the light emission opening with a grid-type arrangement of light transmission openings, wherein the at least one semiconductor luminous element is fixed to the covering and is directed at the inner side of the hollow body, and wherein a side area of the covering that surrounds the light transmission openings is at least partly reflectively coated.