Abstract: A method and apparatus for the drilling of the curved borehole portion of a horizontal or directional well. A tight radius of curvature is rotary drilled by use of flexible composite drilling pipe or other flexible pipe common to the industry which terminate within an eccentric collar on the final drill string section. The eccentric collar is equipped with a retractable and grooved compression pad which expands outwardly to hold the eccentric collar (which is also grooved on its opposite side) against the side of the well bore to prevent the eccentric collar from rotating during the rotary drilling process. The final drill string section connects to a lower drill bit collar and rotary drill bit through a driving ball and socket connection. The eccentric collar on the final drill string section that engages the well bore forces the deflection of the drill bit about the ball and socket connection and holds this orientation as the rotating drill proceeds forward.