This　paper　introduces　a　kind　of　parallel　multigrid　method　for　solving　Steklov　eigenvalue　problem　based　on　the　multilevel　correction　method.　Instead　of　the　common　costly　way　of　directly　solving　the　Steklov　eigenvalue　problem　on　some　fine　space,　the　new　method　contains　some　boundary　value　problems　on　a　series　of　multilevel　finite　element　spaces　and　some　steps　of　solving　Steklov　eigenvalue　problems　on　a　very　low　dimensional　space.　The　linear　boundary　value　problems　are　solved　by　some　multigrid　iteration　steps.　We　will　prove　that　the　computational　work　of　this　new　scheme　is　truly　optimal,　the　same　as　solving　the　corresponding　linear　boundary　value　problem.　Besides,　this　multigrid　scheme　has　a　good　scalability　by　using　parallel　computing　technique.　Some　numerical　experiments　are　presented　to　validate　our　theoretical　analysis.