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We propose graphene plasmonic crystals (GPCs) with a Kagome lattice, and investigate the properties of the flat band (FB) in the plasmonic system. By modulating the arrangement of the chemical potentials, a FB is obtained. Furthermore, the authenticity of the FB is confirmed by comparing the band structures and the eigen field distributions obtained from using the tight-binding modeled Hamiltonian with numerical calculations. The proposed Kagome-type GPCs could be of great significance for the study of novel effects in strong interaction systems in the field of plasmonics.