Abstract: A cutter head, for high speed face-milling cutting, with cutting plates pressable by centrifugal force against recess walls of the cutter head body. The cutting plates are arranged in recesses, of the cutter head body, with walls directed radially outwardly toward each other and having a dovetailed cross section tapering toward the chip space, the cutting plates being respectively held by a clamping piece having an inclined surface which is located opposite the free surface of the cutting plates. The cutting plates, which may be multiply arranged in common radial planes, are identical and are disposed with their cutting edges in a common tangential plane. Adjacent cutting plates of one radial plane, and forming a row, may be axially longitudinally displaced relative to the cutting plates of a second or third radial plane.