Disclosed is a cooling and supporting apparatus for current leads of a superconducting rotating machine. The cooling and supporting apparatus is installed on the current leads, and includes an inner tube provided with a spiral-shaped groove formed in the outer surface thereof and an outer tube provided with a spiral-shaped groove formed in the inner surface thereof, thus preventing heat transferred through the current leads from being directly transferred to a superconducting coil for preventing the deformation of the superconducting coil, and allowing the outer tube from fixedly surrounding the whole current leads for preventing the breakage of the current leads due to centrifugal force of a rotor.