A method of producing sensors includes providing a carrier plate; arranging semiconductor chips on the carrier plate, wherein the semiconductor chips include at least radiation-detecting semiconductor chips; providing radiation-transmissive optical elements on the carrier plate provided with the semiconductor chips, wherein a plurality of radiation-transmissive optical elements are provided jointly on the carrier plate provided with the semiconductor chips; and singulating the carrier plate provided with the semiconductor chips and the radiation-transmissive optical elements, thereby forming separate sensors including a section of the carrier plate, at least one radiation-detecting semiconductor chip and at least one radiation-transmissive optical element.