[en] An analysis of the decay τ^-→π^-π⁰ν_τ has been performed using the ARGUS detector at the DORIS II storage ring. The branching ratio has been determined to the Br(τ^-→π^-π⁰ν_τ=(22.6±0.4±0.9)%. The shape of the π^-π⁰ invariant mass spectrum is found to be in good agreement with the predictions obtained using the conserved vector current (CVC) hypothesis, suggesting that the π^-π⁰ system is produced in J^P=1^- state. An analysis of the measured decay angular distribution of the pions with respect to the flight direction of the π^-π⁰ system demonstrates the fector nature of the coupling at the τν_τ vertex. With the assumption of the zero ν_τ mass tha ν_τ spin has been shown to be J_ντ=1/2. (orig.)