Apparatus for adapting a high speed, drill press type tapping head for use with a CNC vertical milling machine and specifically to a three-piece apparatus that will maintain proper rotation-free alignment of the tapping head housing in both the movable automatic tool rack and in the spindle of the mill. A forked flange secured to the tapping head housing engages a vertically depending shaft attached to a vertically movable, non-rotating part of the mill to prevent rotation of the housing when the tap is rotated by the mill. The opposite side of the tapping head housing supports a short horizontal shaft that engages depending forks on a member attached to the assigned location of the tapping head in the movable tool rack.