Abstract: The invention relates to a method and a device for finishing toothed workpieces (2) using a tool (1) which is designed in the form of a power skiving cut-ter and is rotated by a tool spindle (17) and which has machining teeth (7) that mesh with tooth gaps (6) of the workpiece (2) in a rolling movement, said workpiece being supported by a workpiece spindle (15), which is arranged in a skewed manner relative to the tool rotational axis (4) and is driven synchronously thereto, such that machining edges (8) of the machining teeth (7) machine the tooth flanks (9) of the teeth (5) of the workpiece (2) in the direction of the tooth flank extension. According to the invention, the tool is used such that the machining edges (8) machine the tooth flanks (9) so as to only grind same without removing chips, wherein for this purpose the rounding radius of the machining edges (8) is greater than the chip thickness or cutting depth (E).