The magnetization and the spin wave spectra are studied for a cobalt super-lattice, using the localized spins Heisenberg hamiltonian with nearest neighbors and next nearest neighbors exchange interactions. The added magnetic dipolar and anisotropy effects are discussed also.The calculation of the spin waves dispersion curves and the magnetization are carried out in the framework of Green’s functions. As experimentally expected, our results show that the surface magnetization is smaller than the inner one.