A light module for an exterior light, comprises a circuit board holder, at least one circuit board disposed in the circuit board holder comprising a plurality of LEDs and a cover which covers the circuit board holder and the circuit board disposed therein. Embodiments of the cover comprise a transparent cover which is permeable to light in order to transmit light produced by the LEDs. An optical system for influencing the beam path through the transparent cover may be disposed on the inner side of the transparent cover for each LED. Each optical system can comprise a central optical element, which is disposed directly above the LED, two outer optical regions on the opposite sides of the central optical element, a second optical element which laterally encloses the central optical element and the two outer optical regions and has at least one longitudinal side and a third optical element which extends linearly outside the second optical element parallel to a longitudinal side.