Abstract: A grinding machine for grinding a tip of a drill bit including a grindstone rotatably provided on a base; a drill bit holder provided on one side of the grindstone, the drill bit holder being pivotable about an axis parallel to the rotating axis of the grindstone and holding the drill bit in an inclined position at a predetermined angle relative to the grinding surface of the grindstone; and a drill bit feeder which moves the drill bit toward the grindstone so that the tip of the drill bit is brought into contact with the grinding surface and ground by the grindstone. If the drill bit holder is pivoted when the tip of the drill bit is brought into contact with the rotating grindstone, the drill bit held by a drill bit presser mounted on the drill bit holder is turned about its own axis so that the tip is ground into substantially a cone shape with a desirable rake angle and rake angle surface.