A double shoulder threaded tool joint connection includes a pin with external threads formed between a pin external shoulder and a pin internal shoulder, the pin including a nose section between the pin internal shoulder and the pin external thread and a box with internal threads formed between a box external shoulder and a box internal shoulder. The internal threads and the external threads are arranged and designed for connection with each other so that the box and the pin are connected with a common center-line and with a primary seal formed by the pin external shoulder forced against the box external shoulder and a secondary seal formed between the pin internal shoulder forced again the box internal shoulder. The invention may be applied to any threaded joint.