The excitation spectra for(12Ξ_Be) and (1Ξ6_C) are obtained in the frame of a shell model. The experimental values of the ground state binding energies of the Ξ- hyperon in (12Ξ_Be) and (1Ξ6_ C) are used to determine the well depth of the Ξ-nucleus potential. The information on the residual interaction is emphasized. It is found that the residual interaction does not have much effect on the spectra of the Ξ--hypeucleus.