In　this　paper,　we　develop　the　superconvergence　analysis　of　the　implicit　second-order　two-grid　discrete　scheme　with　the　lowest　Nedelec　element　for　wave　propagation　with　Debye　Polarization　in　nonlinear　Dielectric　materials.　Our　main　contribution　will　have　two　parts.　On　one　hand,　in　order　to　overcome　the　difficulty　of　misconvergence　of　classical　two-grid　algorithm　by　the　lowest　Nedelec　elements,　we　employ　the　Newton-type　Taylor　expansion　at　the　superconvergent　solutions　for　the　nonlinear　terms　on　coarse　mesh,　which　is　different　from　the　classical　numerical　solution　on　the　coarse　mesh.　On　the　other　hand,　we　push　the　two-grid　solution　to　high　accuracy　by　the　interpolation　post-processing　technique.　Such　a　design　can　both　improve　the　computational　accuracy　in　spatial　and　decrease　time　consumption　simultaneously.　Based　on　this　design,　we　can　obtain　the　convergent　rate　O　(tau(2)　+　h(2)　+　H-3),　and　the　spatial　convergence　can　be　obtained　by　choosing　the　mesh　size　h　=　O　(H-3/2).　At　last,　one　numerical　experiment　is　illustrated　to　verify　our　theoretical　results.　(C)　2020　IMACS.　Published　by　Elsevier　B.V.　All　rights　reserved.