  We study the non-perturbative determination of the renormalization constants
of flavor non-singlet quark bilinear operators on the lattice. The
renormalization condition is imposed on correlation functions of bilinear
operators in the coordinate space. The results are converted to the value at 2
GeV in the $\rm\overline{MS}$ scheme by a perturbative matching. The
calculation is carried out on gauge configurations generated with the Mobius
domain-wall fermions at two lattice spacings $a^{-1} = 2.4$ GeV and $a^{-1} =
3.6$ GeV.
