The invention relates to an articulated element between a light source carrier frame and a leveling motor in a headlight of a motor vehicle, which is used to transform the linear movement of the drive shaft of the leveling motor into the rotation of the carrier frame for a certain angle. The light source carrier frame with one or several light sources is pivotally mounted to the headlight housing that is later on fixed to the car structure. The leveling motor with a drive shaft is fixed to the headlight housing, and can push its drive shaft in or out in a primarily linear direction. Undesirable radial force acting on the drive shaft are minimized or eliminated by the use of the articulated element according to the invention. The articulated element comprises a hollow cylinder adapted for insertion of a head fixedly attached to the drive shaft of the leveling motor and a hinge which consists of a first hinge element, which is fixedly attached to the hollow cylinder, and of a second hinge element, which is fixedly attached to a bayonet base or is formed as a uniform part of the carrier frame and whereby the cylinder axis is essentially parallel to the hinge axis. The horizontal component of the radial force onto the drive shaft is eliminated by allowing the hollow cylinder to slide along its axis relative to the drive shaft. At the same time the hinge in combination with the hollow cylinder pivoting around the head minimizes radial force on the drive shaft in vertical direction.