  We suggest the generalization of the Anomalous Magneto-Hydro-Dynamics (AMHD)
in the chiral plasma of a neutron star (NS) accounting for the mean spin in the
ultrarelativistic degenerate electron gas within the magnetized NS core as a
continuing source of the chiral magnetic effect. Using the mean field dynamo
model generalized in AMHD, one can obtain the growth of a seed magnetic field
up to $10^{18}\,\text{G}$ for an old non-superfluid NS at its neutrino cooling
era $t < 10^6\,\text{yr}$, while neglecting any matter turbulence within its
core and assuming the rigid NS rotation. The application of the suggested
approach to the evolution of magnetic fields observed in magnetars, $B\sim
10^{15}\,\text{G}$, should be self-consistent with all approximations used in
the suggested laminar dynamo, at least, up to the jumps of growing fields.
