Abstract: The milling machine comprises milling units which are adapted to perform a movement for a machining of workpieces to form cross-sections which are concentric or eccentric to the axis of the workpiece. Each milling unit comprises a rotatable tool drum, which accommodates an internally cutting annular inserted-tooth cutter and is connected to means for rotating the tool drum. The workpiece is gripped at its ends and is also supported by back rests between the milling units. In order to provide a relatively simple machine and to minimize the machining times, the milling units are mounted on a common milling slide, which is adapted to impart the feed movement to the milling units, and a free space for receiving a back rest during said feed movement is defined between adjacent milling units. The milling units are rotatably mounted in bearing brackets, which are mounted on the milling slide and define said free space.