A shaving apparatus includes at least one cutting unit having an inner cutter rotationally drivable with respect to an outer cutter by driving shaft of a driving device. The driving shaft exerts a prestress force on the inner cutter in the direction of the outer cutter. During cutting of a hair, the hair exerts a cutting force on the inner cutter directed opposite the driving force. The driving shaft bears axially on the outer cutter via at least one driving surface of a coupling element which is rotationally drivable. The inner cutter includes at least one driven surface for cooperating with the driving surface for exerting the driving force. The direction of the driving force is substantially perpendicular to the driving surface and the driven surface.