A headlight for vehicles having a projection module containing a low beam primary lens and a first light source, a high beam primary lens and a second light source, a secondary lens arranged in the main beam direction in front of the low beam primary lens and the high beam primary lens, a secondary lens by means of which, in a low beam mode, in which only the first light source is activated, a first light bundle emitted from the low beam primary lens is mapped according to a specified low beam distribution and, in a high beam mode, in which the first light source and the second light source are activated, the first light bundle is mapped together with the second light bundle emitted from the high beam primary lens in order to produce the high beam distribution, wherein the high beam primary lens has compensator.