The invention relates to a headlamp (1) for a motor vehicle, with a first semiconductor light source (2) for generating a first radiation, with a second semiconductor light source (3) for generating a second radiation, and with an optical coupling device (4) to couple the generated radiations, which coupling device comprises a first and a second coupling surface (5, 6), wherein a converter element (8) for converting a primary radiation emitted by the first semiconductor light source (2) into the generated first radiation is arranged in an optical path between the first semiconductor light source (2) and the first coupling surface (5) in order to improve the light quality of the headlamp.