  I study a problem, whether the asymmetry of a $^{56}$Ni ejecta that results
in the asymmetry of the H$\alpha$ emission line at the nebular epoch of the
type IIP supernova SN 2004dj is able also to account for the recently detected
polarization of the supernova radiation. I developed a model of the H$\alpha$
profile and luminosity with a nonthermal ionization and excitation taken into
account adopting an asymmetric bipolar $^{56}$Ni distribution. On the
background of the recovered distribution of the electron density I calculated
the polarized radiation transfer. It is demonstrated that the observed
polarization is reproduced at the nebular epoch around day 140 for the same
parameters of the envelope and $^{56}$Ni distribution for which the luminosity
and profile of H$\alpha$ are explained.
