The monolayer grapheme film was employed in the metal structures when researching the spontaneous emission of atoms. The spontaneous emission of atoms was controlled by the special photoelectric properties of graphene. The local density of electromagnetic states was numerically calculated with the electric dyadic Green′s function through the finite-difference frequency-domain method. The results show that with the increase of chemical potential, spontaneous emission peak appears blue shift phenomenon and the spontaneous emission are enhanced. The tunability of the peak position and amplitude of the spontaneous emission of the atoms is theoretically achieved. The theoretical results can be used as references for the fabrication and optimization of novel nano-devices and optoelectronic devices.