The strong coupling constant is determined from the leptonic branching
ratios, the lifetime, and the invariant mass distribution of the hadr
onic final state of the tau lepton, using data accumulated at LEP with
the ALEPH detector. The strong coupling constant measurement, alpha(s
), (m(tau)2) = 0.330 +/-0.046, evolved to the Z mass, yields alpha(s)(
M(Z)2) = 0. 1 18 +/- 0.005. The error includes experimental and theore
tical uncertainties, the latter evaluated in the framework of the Shif
man, Vainshtein and Zakharov (SVZ) approach. The method allows the non
-perturbative contribution to the hadronic decay rate to be determined
to be 0.3 +/- 0.5% .