  In this work, we calculate the neutron anomalous magnetic moment supposing
that this value can depend on the density and magnetic field of system. We
employ the lowest order constraint variation (LOCV) method and $AV_{18}$
nuclear potential to calculate the medium dependency of the neutron anomalous
magnetic moment. It is confirmed that the neutron anomalous magnetic moment
increases by increasing the density, while it decreases as the magnetic field
grows. The energy and equation of state for the system have also been
investigated.
