The invention relates to an automobile headlamp having a light source co-operating with a principal reflector of generally parabolic form, and a glass which is greatly inclined with respect to the vertical. Selected critical zones of the reflector have an elliptical form with one focus in the proximity of the light source and the other focus in the proximity of the center of the glass, and the central zone of the glass is substantially smooth, in such a way that the light rays reflected by the critical zones of the reflector pass through the glass without significant deflection in spite of its inclination.