Nuclear Waste Administration Act of 2019 This bill addresses nuclear waste management. Among other things, this bill establishes the Nuclear Waste Administration (NWA) to provide for the permanent disposal of nuclear waste, including the siting, construction, and operation of additional repositories, a test and evaluation facility, and additional storage facilities; transfers to the NWA specified functions of the Department of Energy, including those related to the construction and operation of a repository; prescribes siting guidelines for nuclear waste storage facilities and repositories and for the identification and suitability of candidate sites; directs the NWA to establish a storage program to provide interim storage for spent nuclear fuel and high-level radioactive waste; and confers upon the NWA responsibility for transporting nuclear waste.