  In the present work, we are interested in the properties of nuclear matter at
zero temperature in the presence of strong magnetic fields using the lowest
order constraint variational (LOCV) method employing $AV_{18}$ nuclear
potential. Our results indicate that in the absence of a magnetic field, the
energy per particle is a symmetric function of the spin polarization parameter.
This shows that for the nuclear matter, the spontaneous phase transition to a
ferromagnetic state does not occur. However, we have found that for the
magnetic fields $ B\gtrsim 10 ^ {18}\ G$, the symmetry of energy is broken and
the energy has a minimum at a positive value of the spin polarization
parameter. We have also found that the effect of magnetic field on the value of
energy is more significant at the low densities. Our calculations show that at
lower densities, the spin polarization parameter is more sensitive to the
magnetic field.
