Apparatus for the manufacture or working of the tooth system of straight or helically toothed, externally or internally toothed gears with a hyperboloidally or globoidally or similarly formed toothed tool, which has an abrasive surface or the like, wherein a crossed-axes angle is provided. The intermeshed workpiece-tool is guided by a pair of guide wheels. The working takes place on only one flank of a tooth. The workpiece or tool spindle is coupled with a reversible motor. A brake is provided on one of the spindles. A shiftable coupling and additional brakes or centrifugal masses can furthermore be provided.