Abstract: A connector for a modular telephone handset having a first part with modular terminal means thereon for connection to the modular terminal means of the handset and a second part coupled to the first part for rotation relative thereto. The second part has a modular receptacle terminal located at a fixed angle which is displaced from the common axis of the connector, said angle being greater than 0.degree. and less than 180.degree., and preferably about 90.degree., to accept an external modular terminal on an attached cord which can be twisted. The movement of the cord relative to the connector first part, by movement of either the cord or the handset, providing a torque force to the second part at said angle so that the second part rotates relative to the first part to prevent twisting of the cord.