Abstract: There is disclosed a method for generating highly-accurate tooth surfaces of a globoid worm wheel without using a globoid worm hob. When generating tooth surfaces of a copper-alloy globoid worm wheel by grinding with an electro-deposition grinding tool including a cutting surface on which abrasive grains are embedded, the electro-deposition cutting tool then being finished to have the same tooth surfaces as a globoid worm which can engage with the globoid worm wheel, the generation of the tooth surfaces of the globoid worm wheel is carried out under such a condition that a maximum cutting depth of one abrasive grain is predetermined to be not more than a quarter of the average diameter of the abrasive grains.