Abstarct: In this work, we consider nucleus as a quantum system and looking for the wave function of this quantum system, because the wave function is existing math which contains information from the system which can be used to understand the properties of the system. In particular, in a nuclear system, it can be used to obtain magnetic dipole moment. We consider the nucleus that near the closed-shell, which has a nucleon or a hole in its capacity laxyer, baxsed on shell model, this is a nucleon (or hole) that determines many core nucleus properties. The nucleons move in the nucleus with a kinetic energy of about 10 Mev, and this energy is low compared to the rest energy of the nucleons. So, it’s safe to say that nucleons move at a non-relativity rate inside the nucleus. For this reason, we can use the Schrodinger wave equation, which is a non-relativistic equation, and we obtain the nucleus wave function. Solving the Schrodinger wave equation by placing Wood-Saxon and Yukawa potentials, we use the supersymmetric method to do this. Finally, we use the wave function and calculate the magnetic dipole moment for nucleus near the closed-shell.