In　this　paper,　a　full　(nested)　multigrid　scheme　is　proposed　to　solve　eigenvalue　problems.　The　idea　here　is　to　use　a　correction　method　to　transform　the　eigenvalue　problem　solving　to　a　series　of　corresponding　boundary　value　problem　solving　and　eigenvalue　problems　defined　on　a　very　low-dimensional　finite　element　space.　The　boundary　value　problems　which　are　defined　on　a　sequence　of　multilevel　finite　element　spaces　can　be　solved　by　some　multigrid　iteration　steps.　The　computational　work　of　this　new　scheme　can　reach　the　same　optimal　order　as　solving　the　corresponding　boundary　value　problem　by　the　full　multigrid　method.　Therefore,　this　type　of　full　multigrid　method　improves　the　overfull　efficiency　of　the　eigenvalue　problem　solving.　(C)　2016　Elsevier　Inc.　All　rights　reserved.