The invention relates to a light-emitting semiconductor component, comprising—a first semiconductor body (1), which comprises an active zone (11) in which during the operation of the light-emitting semiconductor component electromagnetic radiation is generated, at least some of which leaves the first semiconductor body (1) through a radiation exit surface (1a), and—a second semiconductor body (2), which is suitable for converting the electromagnetic radiation into converted electromagnetic radiation having a longer wavelength, wherein—the first semiconductor body (1) and the second semiconductor body (2) are produced separately from each other, —the second semiconductor body (2) is electrically inactive, and—the second semiconductor body (2) is in direct contact with the radiation exit surface (1a) and is attached there to the first semiconductor body (1) without connecting means.