Since little is known isolate a sheet of carbon-graphite one atom thick. This crystal is two-dimensional graphene has remarkable electronic transport properties, which are neither those of a metal nor those of a semiconductor.In this paper we have developed a novel structure electromagnetic bandgap (EBG), with a periodic arrays of carbon nanotubes presented,by introducing a multiwalled carbon nanotubes like a metallic viaholes. The electromagnetic bandgap (EBG) surface, also referred to as a photonic bandgap (PBG) surface, has attracted extensive studies, In the optical domain , microwave and millimeter-waveareas[1].The method used is an integral method based on the concept of waves (WCIP).