Abstract: Apparatus for machining gear teeth has a template control arrangement for varying the tooth flank shape longitudinally of the flanks. This arrangement comprises co-operating wedges, one fixed to the machining tool and the other to a moving tool carrier that makes the working stroke of the tool, the tool being displaceable relative to the carrier by the wedges to vary the tool position radially of the workpiece as it moves along the flanks. The carrier wedge slides in the carrier transversely to the working strokes and the template follower is fixed to slide with it, whereby the variation of the tool radial position is directly proportional to the template profile.