This　paper　describes　multigrid　algorithms　for　solving　multigroup　neutron　transport　equations.　Local　mode　analysis　of　multilevel　is　performed　for　transport　problems,　and　numerical　Fourier　analysis　is　carried　out　to　study　the　smoothing　and　convergence　properties　of　the　multigrid　algorithms　for　neutron　diffusion　and　general　P-N　approximate　case　respectively.　Numerical　test　calculations　validate　the　theoretical　predictions.　(c)　2006　Published　by　Elsevier　Inc.