A　precise　integration　time　domain　method　was　proposed　to　study　the　transmission　properties　of　two-dimensional　photonic　crystals,　and　its　accuracy,　efficiency　and　stability　were　also　analyzed.　The　Yee＇s　difference　technique　was　employed　to　discrete　the　first　order　Maxwell　equations　in　the　spatial　domain.　Considering　the　boundary　conditions　and　the　expression　of　the　excitation,　the　equations　were　transformed　into　a　set　of　ordinary　differential　equations.　Then　the　time　step　was　precisely　divided,　and　the　ordinary　differential　equations　were　solved　by　using　the　high　precision　integration.　The　reflection　and　transmission　field　distributions　of　the　photonic　crystal　were　obtained　by　combining　the　general　solution　with　the　particular　solution　resulting　from　the　excitation.　Finally,　the　transmission　properties　of　the　photonic　crystal　were　obtained　by　Fourier　transformation.　Practical　calculations　of　the　two-dimensional　photonic　crystals　were　carried　out.　The　results　show　that　the　precise　integration　time　domain　method　is　more　accurate,　stable　and　efficient　than　the　finite　difference　time　domain　method.　©　2019　Journal　of　Dynamics　and　Control.　All　rights　reserved.