Abstract: This invention comprises a control for moving a headstock longitudinally on a radial arm of a radial drilling machine and for moving the radial arm angularly about the axis of rotation, by moving the headstock a predetermined distance along an X--X axis and also moving said headstock a predetermined distance along a Y--Y axis at right angles to the X--X axis, for bringing the axis of the drill spindle on the headstock from one drilling position to another drilling position. One Servo motor moves the headstock on the X--X axis and another motor moves it on the Y--Y axis. The motors may be programmed to move said headstock automatically. When the headstock is moved on the radial arm along the Y--Y axis, angular movement of the radial arm is accompanied by movement of the headstock longitudinally of the radial arm. Thus, the movement of the headstock along X--X and Y--Y axes, also moves the radial arm angularly.