A radiation-emitting semiconductor device includes a housing body having a chip mounting area, a chip connection region, a radiation-emitting semiconductor chip, and a light-absorbing material, wherein the radiation-emitting semiconductor chip is fixed to the chip connection region, the chip connection region is covered with the light-absorbing material at selected locations at which the chip connection region is not covered by the radiation-emitting semiconductor chip, the radiation-emitting semiconductor chip is free of the light-absorbing material in selected locations, the housing body has a cavity in which the at least one radiation-emitting semiconductor chip is arranged, the chip mounting area is a surface of the housing body which abuts the cavity, and the chip mounting area is free of the light-absorbing material in selected locations remote from the chip connection region.