The Tokamak Fusion Test Reactor (TFTR) is scheduled to begin DT operation in late 1990. Intense nuclear radiation that will accompany this phase of operation necessitates the installation of additional radiation shielding to satisfy various radiological and diagnostic design objectives. In this paper the design basis of the bulk shielding and the shielding for the major penetrations is presented. The results of neutronics analyses, which were used to formulate the design basis and to guide the detailed engineering designs, are summarized.