  The primordial anisotropies of the cosmic microwave background are linearly
polarized via Compton-scattering. On the other hand, a primordial degree of
circular polarization of the Cosmic Microwave Background is not observationally
excluded. In this work, we discuss the generation of the circular polarization
of CMB via their scattering on the cosmic neutrino background since the epoch
of recombination. We show that photon-neutrino interaction can transform plane
polarization into circular polarization through processes
$\gamma+\nu\rightarrow\gamma+\nu$ and the Stokes-V parameter of CMB has linear
dependence on the wavelength and square dependence on the average pressure and
shear stress perturbations of cosmic neutrino background and also the maximum
value of $C^V$ is estimated in range of a few Nano-Kelvin square.
