The invention relates to a finishing device (10) for machining shaft axial bearings, in particular crankshaft flange bearings, comprising a retainer (28) which is arranged or can be arranged on a machine frame (22), on which retainer a machining unit (42) comprising a finishing tool (56) is moveably mounted, wherein a movement of the machining unit (42) is associated with an adjustment of a diameter of a shaft axial bearing to be processed by means of the finishing tool (46), wherein a motorized drive unit (62) which drives the processing unit (42) along an adjustment axis (74) is provided for moving the processing unit (42). The invention further relates to a method for machining shaft axial bearings.