  In the Nambu - Jona-Lasinio model the decay widths $\tau \to (\pi,
\pi'(1300)) \nu_{\tau}$ were calculated. For the calculation of the decay width
$\tau \to \pi \nu_{\tau}$ the standard NJL model was used with taking into
account the intermediate axial-vector meson and the extended Nambu -
Jona-Lasinio model with the intermediate $a_1(1260)$ and $a_1'(1647)$ mesons.
These results are in good agreement with each other. For the calculation of the
decay width $\tau \to \pi' \nu_{\tau}$ extended Nambu - Jona-Lasinio model was
used. The results are in satisfactory agreement with the experimental data.
  Numerical estimates for the constant $F_{\pi}$ and $F_{\pi'}$ are also in
satisfactory agreement with both the experimental values for $F_{\pi}$ and the
results obtained by calculations on the lattice.
