Abstarct: In this thesis is studied the Schrödinger equation for an N-Identical Body-force for odd A-isotopes of Beryllium in the presence of Yukawa potential by Nikiforov-Uvarov (NU) method and find the wave equation and binding energy. Then we calculated the electrical quadrupole moment and magnetic dipole moment for odd A-isotopes of Beryllium, finally we compared these values with experimental values. Keywords: Schrödinger equation, Yukawa potential, (NU) method, wave equation, binding energy, electrical quadrupole moment, magnetic dipole moment.