  We discuss a novel mechanism for the proto-neutron star acceleration assisted
by the chiral separation effect which induces an axial vector current in a
dense medium. We consider the process of neutrinos scattering off the
background axial vector current of electrons. We show that anisotropy of either
magnetic field or density in momentum space is essential for nonzero recoil and
we call this mechanism the chiral anisotropy conversion. Assuming a strong
magnetic field $B \simeq 10^{12}$ T and anisotropy by $\sim 10\%$, we find that
the chiral anisotropy conversion can yield the velocity of order of typical
pulsar kicks, i.e., $v_{\mathrm{kick}} \gtrsim 1000$ km/s.
