[en] The Superconducting Super Collider (SSC) is planned to be a basic research facility providing beams of 20 TeV (trillion electron volt) protons in two counter-rotating orbits which intersect at six points. The proton beams are guided by high-field, superconducting magnets around an oval path 52 miles in circumference. The purpose of this paper is to identify, quantify, and discuss the various sources of ionizing radiation and the measures which are planned to accommodate them in order to protect both the general public and the staff of the SSC laboratory. These sources and the measures to deal with them are well understood from the experience of existing accelerator facilities. In spite of the differences in energy, the radiation protection requirements and the level of difficulty in meeting them for the SSC are very similar to those for the existing facilities. The proposed SSC as described in the April 1986 Conceptual Design Report and other, reports of the Central Design Group will consist of four basic components: and injector complex of four cascaded accelerators roughly similar to Fermilab's Tevatron, in which protons will be accelerated from rest to about 1 TeV; the collider ring, whose circumference will be about 52 miles, the experimental areas; and the campus/laboratory area. 27 refs., 9 figs., 10 tabs