  The decay width $\tau\to\pi\omega\nu$ in the framework of the extended NJL
model is calculated. The contributions of the intermediate vector mesons
$\rho(770)$ and $\rho'(1450)$ are taken into account. The computed partial
width and the spectral function of the decay $\tau\to\pi\omega\nu$ are in
satisfactory agreement with experimental data.
