The invention relates to a light unit with a light-emitting diode comprising at least one non-glowing light source and with a light distribution body optically downstream to the light-emitting chip source, whereby the frontal area of the light distribution body facing away from the non-glowing light source has a hollow and whereby each periphery of the hollow comprises a total reflection surface for the light emitted from the non-glowing light source. For this purpose, the light distribution body is part of the light-emitting diode. The section of the light distribution body adjacent to the non-glowing light source has an elliptical section as an envelope curve in at least one cutting plane, which encompasses the optic axis. A compact light unit with a high degree of optical efficiency is developed with this invention.