The structural,electronic,and the optical properties of Ag₂ZnGeS(Se )₄(AZGS(Se)),a potential photovoltaic material for thin film solar cells,wer e studied based on the density functional theory with hybrid functional approach. The calculations of the equilibrium energies show that the kesterite (KS) phase is the most stable similar to that of Cu₂ZnSnS(Se)₄(CZTS(Se)).Additionally ,w e have performed the molecular-dynamics simulations and the results show that t h e structural stabilities of AZGS(Se) are close to those of CZTS.The Heyd-Scuse r ia-Ernzerhof (HSE) hybrid functional yields a direct band gap of 2.21and 1.27e V for AZGS and AZGSe,respectively.Furthermore,a large band-edge absorption c o efficient of ~10^4cm－1 is observed for both AZGS and AZGSe.Calculated o ptical p roperties and electronic properties suggest that AZGS(Se) can be efficient photo voltaic materials.