The invention relates to a device (2) for grinding and/or finishing a workpiece (8) mounted on and/or in a workpiece mounting (22, 28). The workpiece (8) and the workpiece mounting (22, 28) may be set in an oscillating movement (86) by means of a drive device (60, 108) and form an oscillating unit (96) or part of an oscillating unit (96), at least one balancer unit (94) being provided which is driven to run counter to the oscillating movement (86) of the oscillating unit (96).