Abstract: This invention is concerned with an automotive vehicle headlamp, of the kind comprising a housing, at least one lamp and a reflector mounted in the housing and defining an optical axis, with a closure glass which is substantially inclined with respect to a plane perpendicular to the optical axis. The headlamp also includes means for adjusting the orientation of the reflector by pivoting movement of the latter, at least about a horizontal axis.The headlamp is characterized in that the said horizontal axis is disposed closely adjacent to the cover glass and substantially parallel to the latter.The invention is applicable to the reduction of misalignments between the various portions of the light beam and the homologous zones of the glass during adjustment operations.