A　3-D　fourth-order　one-step　leapfrog　HIE-FDTD　method　with　convolutional　perfectly　matched　layer　(CPML)　has　been　proposed　in　this　paper.　When　the　time　step　size　satisfies　with　the　time　stability　condition,　the　maximum　reflection　error　of　the　proposed　method　is　below　-79　dB,　which　demonstrates　good　absorbing　performance　of　the　CPML　method.　To　verify　the　accuracy,　we　give　the　numerical　dispersions　analysis　of　the　proposed　method　with　the　traditional　FDTD　method　and　the　traditional　HIE-FDTD　method.　The　results　demonstrate　that　when　the　time　step　size　of　the　new　method　is　the　same　with　the　other　methods,　the　proposed　method　has　the　smallest　dispersion　error.　Besides,　numerical　examples　demonstrate　that　the　proposed　method　spend　much　less　CPU　time　than　the　traditional　FDTD　method　and　the　traditional　HIE-FDTD　method.　Last　but　not　least,　simulations　for　thin　slots　present　that　the　proposed　method　is　very　useful　to　solve　problems　with　coupled　field.