The invention relates to a dental milling machine which has a closed milling chamber (12). Said milling chamber has an air inlet opening and an outlet which are substantially opposite each other relative to the milling chamber and generate an air stream. Said air stream sweeps over a machining area in which a milling tool subjects the workpiece to a milling machining step. One end of the milling chamber (12), in particular the front end, has a door that can be opened. The base (42) of the milling space (12) runs at least partially at an angle and in particular is rounded off and the outlet (40) is connected to the lowest region of the base (42).