This　paper　introduces　a　new　type　of　full　multigrid　method　for　the　elasticity　eigenvalue　problem.　The　main　idea　is　to　avoid　solving　large　scale　elasticity　eigenvalue　problem　directly　by　transforming　the　solution　of　the　elasticity　eigenvalue　problem　into　a　series　of　solutions　of　linear　boundary　value　problems　defined　on　a　multilevel　finite　element　space　sequence　and　some　small　scale　elasticity　eigenvalue　problems　defined　on　the　coarsest　correction　space.　The　involved　linear　boundary　value　problems　will　be　solved　by　performing　some　multigrid　iterations.　Besides,　some　efficient　techniques　such　as　parallel　computing　and　adaptive　mesh　refinement　can　also　be　absorbed　in　our　algorithm.　The　efficiency　and　validity　of　the　multigrid　methods　are　verified　by　several　numerical　experiments.