The Michel parameters and the average τ-neutrino helicity are measured using correlations between the decays of the τ+ and τ− produced on the Z resonance and observed in the ALEPH detector at LEP. The Michel parameters, ϱl, ηl, ξl, (δξ)l, are determined from with l = (e, μ), and the average τ neutrino helicity, 〈h(ντ)〉, from τ → hν with h = (π, ϱ, a1). The results obtained with e−μ universality are: ϱl = 0.751±0.039±0.022, ηl = −0.04±0.15±0.11, ξl = 1.18±0.15±0.06, (δξ)l = 0.88±0.11±0.07, and the average τ neutrino helicity 〈h(ντ)〉 = −1.006±0.032±0.019. No significant deviation from the Standard Model V-A prediction is observed.