Abstract
The branching fractions of τ lepton decays with the production of strange scalar mesons both in the ground and first radially excited states $${{\tau }^{ - }} \to {{\nu }_{\tau }}[K_{0}^{*}{{(700)}^{ - }},K_{0}^{*}{{(1430)}^{ - }}]$$ and $${{\tau }^{ - }} \to {{\nu }_{\tau }}[K_{0}^{*}{{(700)}^{ - }}{{\pi }^{0}},K_{0}^{*}{{(1430)}^{ - }}{{\pi }^{0}},$$ $$K_{0}^{*}{{(700)}^{ - }}{{K}^{0}},K_{0}^{*}{{(700)}^{ - }}\eta ]$$ are calculated in the extended $$U(3) \times U(3)$$ chiral quark Nambu–Jona-Lasinio model. All mesons are considered as $$q\bar {q}$$ systems. The obtained results should be considered as predictions for future experiments.