Abstract: A connector system is provided for connecting conductors of high tension cables during splicing between cables. Each connector comprises lugs having ferrule portions which are crimped to the ends of conductors to be joined and part cylindrical lug portions which are bolted together through filler or connector plates to form a smoothly contoured connection free from edges or projections providing high electrical stress concentrations. The connector plates enable two connections to be joined in parallel to provide branch connections: a smoothly contoured lug adaptor replaces a fourth lug if only a single branch connection is to be made. Smoothly contoured and recessed nuts and bolt head covers contribute to the smooth external contour of the connection.