A power tong system for precisely making up a connection between two elongated elements, such as sucker rods, into an operative string for petroleum well installations. High precision is attainable to secure the full advantages of prestressing the coupling by combinatorial use of both a rotary drive to achieve a first contact position and a linear drive to secure a precise final torsioning. The mechanism for achieving this may employ a peripherally driven drive ring coupling gears engaged to the drive ring periphery, a rotatably driven drive and a linear gear rack which are both engageable to the coupling gear.