Abstract:En this article are presented the theorics work for clarify the structure of all silver cluster in gas phase and water and are compareted the results with experimental data for see which levels of theory describe better the propriety of the silver cluster. Are calculated different value of the bond, ionization potentials and frequencies, electron affinities and binding energy method employed ab initio and relativystic bases. Are optimization with the following levels of theorie: HF/LANL1MB, HF/LANL2MB, HF/LANL2DZ, B3LYP/LANL1MB, B3LYP/LANL2MB, B3LYP/LANL2DZ, MP2/LANL2DZ, DFT/PBE/SDD and DFT/PBE/3-21G**.