Abstract: A gearless indexing device for positioning and repositioning a workpiece to be machined in accordance with a desired system or predetermined program has a housing means, a bore end to end therethrough in which an actuating shaft is rotatably mounted. The workpiece is fixedly connected to one end of the actuating shaft and fixedly connected about the actuating shaft a spaced distance from the workpiece is an actuating assembly disposed for operative connection with the actuating shaft; the actuating assembly having, a suitable measuring device for establishing the predetermined measured distance for positioning and repositioning the workpiece, and a unique gearless transfer assembly for transmitting this measured distance to the actuating shaft and for rotating the actuating shaft serially in step by step arcuate distances each equivalent to the predetermined measured distance.