The　energy　band　characteristic　of　two-dimensional　ternary　lattice　tungsten-silicone　rubber　phononic　crystals　was　analyzed　by　both　the　plane　wave　expansion　method　and　finite　element　method.　The　propagation　characteristics　of　elastic　wave　in　a　silicone　rubber　plate　were　analyzed,　which　were　embedded　with　periodically　arranged　cylindrical　tungsten　blocks　of　the　same　pore　size.　Moreover,　the　special　phenomena　in　the　band　structure　were　also　discussed,　such　as　the　Dirac　point　and　the　degeneracy　near　the　Dirac　point　and　so　on.　The　three-dimensional　energy　band　diagram　and　the　main　deformation　under　different　modes　were　given.　It　is　found　that　stress　concentration　easily　occur　in　the　combination　part　of　the　periodic　composite　material.　Then　the　influence　of　different　material　parameters　on　the　bandgap　were　studied　and　the　initial　frequency　of　the　first　complete　bandgap　gradually　increases　with　the　increase　of　the　density　ratio　(the　ratio　of　the　scatterer　density　to　the　matrix　density).　However,　the　bandwidth　decreases　gradually　since　the　cutoff　frequency　changes　little.　Compared　with　Young＇s　modulus,　density　has　more　influence　on　the　bandgap　of　the　periodic　composite　material.　The　results　of　this　paper　could　provide　some　theoretical　guidance　for　practical　engineering　application.　©　2020,　Journal　of　Synthetic　Crystals　Press.　All　right　reserved.