The following mechanical properties of three types of isotropic reactor graphite have been measured, before and after fast neutron irradiation at 150°C in DIDO: Young's modulus, Poisson's ratio, stress-strain curves in tension and compression, shear strength, uniaxial tensile and compressive strength, triaxial compressive strength and Vicker's hardness. The propagation of cracks in these graphites has been examined microscopically and measurements made of the work of fracture. The accumulation of irradiation damage has been followed by measuring changes in linear dimensions of the specimens and of pyrolytic graphite samples which show that the graphite is heavily damaged. The experimental data have been compared with theories of the mechanical properties of unirradiated and irradiated graphite. A model in which large pores act as “Griffith” flaws is compatible with the data on irradiated graphite, but in unirradiated graphite, plastic flow modifies the failure in compression.