Tritium diffusion in the nuclear fusion reactor breeder material Li 2 TiO 3 is a fundamentally important process for the tritium release kinetics. The energy barrier of tritium diffusion in Li 2 TiO 3 was reported with a considerable uncertainty in previous experiments. Here, we perform the systematic density-functional-theory (DFT) studies for the diffusion processes of a positively-charged tritium, which is the most preferable charge state of the tritium interstitial in a single Li 2 TiO 3 crystal. By calculating various local-diffusion minimum-energy paths, we find that the diffusion of the tritium is strongly anisotropic along different crystalline directions. The most favorable diffusion paths appear within a Li 6 atomic single layer of Li 2 TiO 3 and the corresponding DFT diffusion barrier is 0.334 eV, while the diffusion barrier for most favorable diffusion paths crossing a Li 2 Ti 4 atomic layer is 1.006 eV.