Abstract: A half of a constant-velocity ball-type universal joint is made by substantially confining a workpiece blank in a cavity between a pair of forging dies without substantial deformation of the blank. Then a plurality of race-forming tools are introduced into the cavity through guides in the dies and these tools are blocked in place therein. The blank is then forged against the tools and against the cavity to impart to it the shape of the cavity and of the tools. Then the tools are withdrawn from the cavity and the dies are separated so that the forged workpiece can be removed from it.