This paper reviews existing data on the thermal conductivity of high-T c superconductors. Included are discussions of pristine polycrystalline high-Tc ceramics, single crystal specimens, and high-Tc materials structurally modified by substitution or by radiation damage. The thermal conductivity of high-Tc superconductors is compared with that of conventional superconductors, and dramatic differences are found between the two families. Mechanisms of thermal conductivity applicable to high-Tc perovskites are discussed and implications for theories of high-T~ superconductivity are noted.