leptogenesis and charged Lepton Flavor Violation (cLFV) are studied in the Minimal Supersymmetry Standard Model (MSSM) realization of a A_4 model with seesaw mechanism and renormalazation group 9RG) evolution effects. From the numerical calculations, we realize that when the masses of righ handed (RH) neutrinos are about 10^13GeV, the baryon asymmetry of the Universe (~10^-9) can be successfully generated. The branching ratio Br(μ→eγ) predicted by the model can reach the upper bound of the current experimental sesitivity whereas the Br(τ→eγ) and Br(τ→μγ) are about 4 order smaller that the current experimental bounds.