The optoelectronic semiconductor component has an optoelectronic semiconductor chip disposed on a chip carrier with an approximately planar chip carrier surface. The semiconductor chip is fastened with predetermined alignment of its optical axis. A plastic base part supports the chip carrier. The semiconductor chip is electrically conductively connected to at least two electrode terminals routed through the base part, and a lens is disposed above the semiconductor chip on top of the base part. The lens is formed with an independently configured cap produced from plastic material. The cap is mechanically form-locked to a support of the base part. When the cap is placed onto the base part, a holder of the cap and the support engage with one another. The holder and the support are configured such that when the cap is placed onto the base part, the two parts are automatically positioned with respect to one another in such a way that the optical axes of the lens and of the semiconductor chip coincide.