Abstract: A compact laser machining head is used for laser machining of material, in particular for laser-supported material machining methods for 2D and 3d laser machining. This laser machining head includes a sensor for geometry recognition and/or following contours, one or a plurality of mirrors and/or mirror systems with a mirror housing and mirror holder, a defined interface with the beam guidance system of the machine, and further required structural elements, connections and lines. In this compact laser machining head, the sensor is structurally completely integrated into the laser machining head, is seated, together with other auxiliary devices of the laser machining head tied to the working direction, rotatable around the rotary shaft of the sensor.