© 2015 Elsevier B.V. We report a high precision measurement of the τ-lepton lifetime using data collected with the Belle detector at the Υ(4S) resonance and 60 MeV below. We measure the τ lifetime to be τ = (290.17 ± 0.53(stat.) ± 0.33(syst.)) · 10-15 s, which is almost twice more precise than the current world average. We also set the upper limit on the relative lifetime difference between positive and negative τ leptons to be |ττ+-ττ-/τaverage|<7.0×10-3 at 90% CL. This is a first measurement on this quantity.