  A coexistent phase of spin polarization and color superconductivity in
high-density QCD is investigated using a self-consistent mean-field method at
zero temperature. The axial-vector current stemming from the Fock exchange term
of the one-gluon-exchange interaction has a central role to cause spin
polarization. The magnitude of spin polarization is determined by the coupled
Schwinger-Dyson equation with a superconducting gap function. As a significant
feature the Fermi surface is deformed by the axial-vector self-energy and then
rotational symmetry is spontaneously broken. The gap function is also taken to
be anisotropic in accordance with the deformation. As a result of numerical
calculation, it is found that spin polarization barely conflicts with color
superconductivity, but almost coexists with it.
