We study the effect of magnetic field on the dominant neutrino emission pro
cesses in neutron stars. The processes are first calculated for the case wh
en the magnetic field does not exceed the critical value to confine electro
ns to the lowest Landau state. We consider here magnetic fields up to simil
ar to 10(19) Gauss. We find that fields of strength 10(15) - 10(16) Gauss h
ave significant effect on the neutronization process, for the direct URCA p
rocess the effect of the magnetic field becomes significant only at similar
to 10(19) Gauss. In order to estimate the effect we derive the composition
of cold nuclear matter at high densities and in beta equilibrium, a situat
ion appropriate for neutron stars. The hadronic interactions are incorporat
ed through the exchange of scalar and vector mesons in the framework of rel
ativistic mean field theory. In addition the effects of anomalous magnetic
moments of nucleons are also considered.