A b s t r a c t The purpose of the present work is t o extend earlier nuclear matter calculations to study the properties of neutron matter. The binding energy per particle, symmetry energy, single particle potential, effective mass, and magnetic susceptibility are calculated using a modified skyrme interaction. These are calculated as a function of the Fermi momentum kr in the range 0 < kr < 2 fm-l. Two sets of the interaction parameters are obtained by fitting the interaction parameters using the available informahion on neutron matter. Relativistic corrections to the order 1/c2 are also calculated. The relativistic corrections are very small and they increase as kf is increased.