The invention discloses an electrode continuing system of a plasma electric-arc furnace. The system comprises an electrode bar placing frame, a crane, a crane rail, a hoisting device, a main lifting device and an auxiliary lifting device, electrode bars for standby application are collected and placed on the electrode bar placing frame, and a threaded head is fixedly arranged at the upper end of each electrode bar; a threaded hole matched with the threaded head is formed in the lower end of each electrode bar, the crane rail is horizontally arranged above the electrode bar placing frame and the electric-arc furnace, the crane is arranged on the crane rail and can run freely along the crane rail, the hoisting device is arranged on the lower side of the crane, and the main lifting device andthe auxiliary lifting device are arranged on the upper side of the electric-arc furnace. According to the system, the continuing of the electrode bars can be achieved without shutting down the system, and the overall production efficiency is increased.