For　plate　structures,　their　random　parameters　can　be　regarded　as　a　two-dimensional　random　field　in　the　plane.　To　solve　the　plate　theory　considering　a　two-dimensional　random　field,　an　efficient　strategy　for　the　stochastic　finite　element　method　was　adopted.　Firstly,　the　stochastic　finite　element　method　was　used　to　establish　the　plate　structural　model,　in　which　the　random　field　characteristics　of　the　parameter　were　considered,　and　the　mathematical　expression　of　its　random　field　was　obtained　through　the　Karhunen-Loeve　expansion;　secondly,　the　point　estimate　method　was　applied　to　calculate　the　statistics　of　random　structures.　The　computational　efficiency　can　be　significantly　improved　through　the　reference　point　selection　strategy.　The　accuracy　and　efficiency　of　the　calculation　strategy　were　verified,　and　the　influences　of　correlation　length　and　coefficient　of　variation　of　the　parameter　on　the　random　response　of　plate　structures　under　different　plate　types　(including　Kirchhoff　plate　and　Mindlin　plate)　and　boundary　conditions　(including　simply　supported　and　clamped　supported)　were　discussed.　The　proposed　method　can　provide　some　help　in　solving　static　problems　of　plate　structures.