Nuclear law function is to promote the optimum use of nuclear technology and the protection of the human rights and the environment from the risks of nuclear radiation and to prevent non-peaceful uses of nuclear energy and radioactive materials. The problems for Jordan in dealing with nuclear energy and related material derive from the lack of scientific development on the subject of nuclear energy, insufficient ability of the judicial system or the legal structure to deal with issues that may arise from damages that occur from nuclear reactor or related materials and nuclear waste. Keywords: International Atomic Energy Agency (IAEA), Nuclear Damage, Jordanian civil law, The Provisions of International Treaties, Civil Liability