The binding energies of single Λ, double Λ and single Ξ-hypernuclei have been investigated in the framework of non relativistic Schroedinger equation with Hulthén potential describing the interaction between the Λ hyperon or Ξ-hyperon and the nuclei core. Both the ground states and the excited states of hypernuclei have been studied. The results obtained are compared with experimental data as well as other theoretical existing predictions. The investigation shows a good agreement with other theoretical predictions and experimental values wherever available. This indicates that the interaction between Λ/Ξ hyperon and the nuclei core described by Hulthén potential acts reasonably well.