Index worm wheels of high accuracy are very difficult and laborious to be made, but they are the most essential part of precision gear cutting machines. So we have studied how to make them and have comeeto the following conclusion : In order to obtain precision worm wheels easily, we must cut them on a rigid super precision hobbing machine. Therefore, an attempt of remodelling a precision hobbing machine into a super precision one was made in our laboratory. Strenuous efforts were made for making the very index worm wheel for the machine. Every tooth surface of the wheel was checked and corrected minutely by lapping. Thus the maximum accumulated pitch error was reduced to 11 seconds.