An adaptive projection system for the headlights of motor vehicles consists of a reflector (6) with light source (11), a lens (10), and a diaphragm system with a fixed screening diaphragm in the shape of a cradle and with a movable optical diaphragm (1) in the shape of a hyperboloid, cylindrical or conical sector (17, 18), which rotates at the same time as the shaft of the motor (3), on which it is firmly fastened at both sides by means of stanchions (2), and by its controlled stopping in certain positions it produces the required light beams.