Title: Measurement of the Lifetime of The tau lepton The tau lepton lifetime is measured with the L3 detector at LEP using the complete data taken at centre-of-mass energies around the Z pole resulting equal to 293.2 +- 2.0(stat)+- 1.5 (syst) fs. The comparison of this result with the muon lifetime supports lepton universality of the weak charged current at the level of six per mille. Assuming lepton universality, the value of the strong coupling constant, alpha_s is found to be alpha_s(m_(tau)^2) = 0.319 +- 0.015(exp) +- 0.014(theory). Parallel 5,7 Plenary 3,6a ************************************ *L3 paper 205 accepted from Phys Lett ***********************************