Abstract: A new and improved threaded connector having one or more non-tapered threads on separate diametral steps with at least one flank "hooked" so as to achieve a tensile strength approximately that of the tubular body, is disclosed. The wall thickness of the female member is controlled to improve thread loading and enable inwardly radial movement with the male member to prevent "pulling out" under axial tensile loading. The outer thread step on the male member may only partially engage the threads on the female member such that the critical reduction of the tube wall thickness at the thread roots is a minimum. The resulting threaded connection formed on tubular members has a tensile efficiency in excess of the tube body yield strength and approaching that of the tube body ultimate tensile strength.