Precise　integration　method　combined　with　the　spectral　element　is　used　to　simulate　and　analyze　the　stop-band　characteristic　of　anisotropic　dielectric　layer　photonic　band-gap　(PBG)　structures　in　waveguide.　From　the　variational　principle　based　on　single　variable　corresponding　to　the　vector　wave　equation,　2-D　spectral　elements　are　employed　to　discretize　the　cross　section　of　the　layered　structure,　which　contains　anisotropic　dielectric.　Introducing　the　dual-variables,　the　variational　principle　is　cast　into　the　Hamiltonian　system,　and　then　the　high　precision　integration　method　is　utilized　to　perform　the　stiff　matrices.　Compared　with　conventional　finite　element　method　and　semianalytical　finite　element　method,　numerical　results　demonstrate　that　the　semianalytical　spectral　element　method　is　more　accurate　and　efficient　for　anisotropic　PBG　structures　analysis,　and　it　can　achieve　spectral　accuracy　with　the　increase　of　interpolation　degrees　of　basis　functions.　©　2015,　Chinese　Institute　of　Electronics.　All　right　reserved.