Branching fractions of decays τ→K0π-ηντ, τ→K-π0ηντ, τ→K-K0ηντ, and τ→K-ηηντ are calculated in the U(3)×U(3) chiral Nambu-Jona-Lasinio quark model. The contact, vector, axial-vector, and pseudoscalar channels are considered. It is shown that the axial vector channel is dominant. The obtained results are in satisfactory agreement with experiment.
