The extinction property and electric field distribution of the metal-compound-graphene composite nanoarray are simulated. The research results show that the dipole resonance peak intensity gradually increases with the increase of the atomic layer number of graphene. The dipole resonance peak position is blue-shifted from 680 nm to 500 nm when the two laminate structures and the graphene thickness are changed. The refractive index of external media has a significant influence on the resonance peak of LSPR. When the refractive index is fixed, the electric fields at the base angle between graphene column and metal Ag board and at the apex angel between graphene column and SiO2 board are strongly enhanced.