The　research　focuses　on　the　microstructural　deformation　and　effective　properties　of　the　orthotropic　composites　with　non-symmetric　shaped　inclusion.　The　stress,　strain　and　strain　energy　are　homogenized　by　the　volume　average　concept.　The　microstructural　deformation　of　the　unit　cell　under　the　constraint　of　the　periodic　boundary　condition　is　demonstrated　by　the　finite　element　analysis　and　the　effective　properties　of　the　composites　are　calculated.　The　numerical　investigations　are　given　in　order　to　compare　the　different　homogenization　methods　of　the　stress　and　strain　energy.　This　research　shows　the　consistence　of　the　average　methods　of　the　stress　and　strain　energy　for　the　composite　under　specific　strain　boundary　condition.　(C)　2004　Elsevier　B.V.　All　rights　reserved.