Propagation　properties　of　photonic　crystals　with　defect　are　analyzed　by　the　precise　integration　time　domain　(PITD)　method　in　the　paper.　The　precise　integration　is　applied　to　the　finite　difference　time　domain　in　this　method.　The　Yee　cell　differential　discretization　technique　is　used　in　space,　and　the　precise　integration　method　is　adopted　in　time.　The　correctness　of　the　method　is　demonstrated　by　calculating　the　one-dimensional　photonic　crystals　with　defect.　The　transmission　coefficients　of　the　transverse　electric　(TE)　and　transverse　magnetic　(TM)　modes　in　the　two-dimensional　photonic　crystals　with　defect　are　also　obtained　by　the　method.　Furthermore,　the　stability,　precision　and　efficiency　of　the　method　are　discussed.　Numerical　results　reveal　that　the　PITD　method　is　not　limited　by　the　Courant　stability　condition　and　has　higher　calculation　precision　and　efficiency,　which　provides　a　new　and　effective　analytical　method　for　studying　the　propagation　properties　of　photonic　crystals　with　defect.