In one embodiment, the optoelectronic semiconductor component comprises at least one semiconductor chip for generating a primary radiation, and also an optical body disposed optically downstream of the semiconductor chip. A reflector surrounds the optical body laterally all around in a positively locking manner and is configured for reflecting the primary radiation and visible light. The optical body has a base surface facing the semiconductor chip and an exit surface facing away from the semiconductor chip. The optical body tapers in a direction away from the semiconductor chip. A quotient of the base surface and a height of the optical body is between 1 mm and 30 mm inclusive.