Abstract: A continuous-action broaching machine for machining the external surfaces of workpieces, wherein the broaches are mounted for continuous motion with respect to a multiposition table carrying a plurality of vices adapted to fix a workpiece being machined therein, the table being mounted for stepwise rotation, to position successively the vices thereof adjacent to a mechanism for loading workpieces into the vices, to the broaches and to a mechanism adapted to transfer and reposition a workpiece from one vice into another one.