In an embodiment, the optoelectronic semiconductor device comprises an optoelectronic semiconductor chip for emitting a radiation. An optical element is disposed downstream of the semiconductor chip. The semiconductor chip and the optical element are embedded in a potting body. The optical element comprises a structured, contiguous and optically effective area, which is located inside the optical element directly at an optical contrast region, preferably an evacuated or gas-filled cavity. The optically effective area completely covers a radiation exit area of the semiconductor chip.