There are many models beyond the standard model predicting the existence of non-universal gauge bosons Z', which can give rise to very rich phenomena. We calculate the contributions of the non-universal gauge bosons Z', predicted by topcolor-assisted technicolor (TC2) models and flavor-universal TC2 models, to the lepton flavor-violation tau decays T→Liγ and→ LiLjlk. We find that the branching ratio Br (T→ LiLjlk) is larger than that of the process T→Liγ in all of the parameter space. Over a sizable region of the parameter space, we have Br (T→ LiLjlk) ～10-8, which may be detected in the future experiments.