A threaded connection comprising a pin connecting having dual tapered threads and a box connection having mating dual tapered threads. There is an internal torque shoulder in the box connection, the torque shoulder having a negative angled surface which mates with an angled surface on the nose of the pin connection. The pin connection has an external torque shoulder having a negative angled surface which is engaged and mates with a negative angled surface formed on the face of the box connection.