The present milling apparatus is constructed especially for milling crankshafts. A milling unit carrying milling cutters is adjustable on guide rails back and forth toward a workpiece such as a crankshaft. The crankshaft is held in respective chucks also supported on the machine base. Continuously adjustable bracing devices interconnect the milling unit with the workpiece supporting chucks on a side opposite the machine base, whereby undesired vibrations are avoided and the tool life is substantially increased.