  In the extended Nambu -- Jona-Lasinio model, the decay width of $\tau \to
K^{*0}(892) K^- \nu_{\tau}$ is calculated. The contributions from the contact
diagram and diagrams with intermediate axial-vector, vector and pseudoscalar
mesons in the ground and first radially excited states are taken into account.
It is shown that axial-vector and vector channel with a contact diagram give a
dominant contribution to the decay width. The obtained results for the decay
width $\tau \to K^{*0}(892) K^- \nu_{\tau}$ are in satisfactory agreement with
experimental data. A prediction for differential distribution over the
invariant mass of the meson pair $K^{*0}(892) K^-$ is given.
