  We explore the theoretical possibility of $^3P_0$ neutron superfluid in
dilute spin-polarized neutron matter, which may be relevant to the crust region
of a magnetized neutron star. In such a dilute regime where the neutron Fermi
energy is less than 1 MeV, the $^1S_0$ neutron superfluid can be suppressed by
a strong magnetic field of the compact star. In the low-energy limit relevant
for dilute neutron matter, the $^3P_0$ interaction is stronger than the $^3P_2$
one which is believed to induce the triplet superfluid in the core. We present
the ground-state phase diagram of dilute neutron matter with respect to the
magnetic field and numerically estimate the critical temperature of the $^3P_0$
neutron superfluid, which is found to exceed $10^7$ K.
