  We have studied the spin polarized hot neutron matter in the presence of
strong magnetic field. In this work, using the lowest order constrained
variational method at finite temperature and employing $AV_{18}$ nuclear
potential, some thermodynamic properties of spin polarized neutron matter such
as spin polarization parameter, free energy, equation of state and effective
mass have been calculated. It has been shown that the strong magnetic field
breaks the symmetry of the free energy, leading to a magnetized equilibrium
state. We have found that the equation of state becomes stiffer by increasing
both magnetic field and temperature. The magnetic field dependence of effective
mass for the spin-up and spin-down neutrons has been investigated.
