  The polarization effects in the one-meson radiative decay of the polarized
$\tau$ lepton, $\tau^-\to\pi^-\gamma\nu_{\tau}$, are investigated. The inner
bremsstrahlung and structural amplitudes are taken into account. The asymmetry
of the differential decay width caused by the $\tau$ lepton polarization and
the Stokes parameters of the emitted photon itself, are calculated depending on
the polarization of the decaying $\tau$ lepton. The numerical estimation of
these physical quantities was done for arbitrary direction of the $\tau$ lepton
polarization 3-vector in the rest frame. The vector and axial-vector form
factors describing the structure-dependent part of the decay amplitude are
determined using the chiral effective theory with resonances (R$\chi$T).
