The invention relates to a method for producing a plurality of optoelectronic semiconductor components, including the following steps: preparing a plurality of semiconductor chips spaced in a lateral direction to one another; forming a housing body assembly, at least one region of which is arranged between the semiconductor chips; forming a plurality of fillets, each adjoining a semiconductor chip and being bordered in a lateral direction by a side surface of each semiconductor chip and the housing body assembly; and separating the housing body assembly into a plurality of optoelectronic components, each component having at least one semiconductor chip and a portion of the housing body assembly as a housing body, and each semiconductor chip not being covered by material of the housing body on a radiation emission surface of the semiconductor component, which surface is located opposite a mounting surface. The invention also relates to a semiconductor component.