Abstract: There is provided a method for joining the buss wires of a pair of flexible cables by splicing and encapsulating the ends of the cables together. This method involves the splicing of the two cables together by stripping oppositely disposed ends of the two cables such that the buss wires are left exposed. The exposed wires are inserted into respective ends of a connector tube formed of a material having a similar melting point, tensile strength and electrical conductivity properties to the buss wires disposed therein. Both ends of the connector tube are then welded to the oppositely disposed buss wires. Thereafter, the welded wires are encapsulated within an polymer encapsulation layer which overlaps with portions of the flexible sheath that had not been stripped. The polymer encapsulation layer is preferably one which exhibits a similar melting point and tensile strength to the flexible polymer sheath.