Within this thesis, a comprehensive ab-initio study of Shockley surface states is performed for the clean (100),(110) and (111)-facets of the face-centered cubic metals Ag and Au by utilizing the framework of density functional theory (DFT). The Shockley surface states are identified by comparison of the bulk projected band structure with the corresponding slab calculations of the metal-facets. For that purpose, a repeated slab model for simulating the surfaces have been applied. Characteristic properties like energy positions, effective masses and decay depths are determined. Additionally surface energies, workfunctions and electron densities are calculated. The DFT calculation is also used for performing an ARPES-simulation by using the one-step model of photoemission.