An investigation into the magnetic properties of zig-zag single-walled (8,0) carbon nanotube is done. The Nikiforov-Uvarov method (NU) is used to solve the Schrödinger wave equation containing the quantum Hamiltonian of a charged particle confined in Deng-Fan Hulthen potential in the presence of applied external fields in perpendicular direction. The energy eigen value equation and the wave function are obtained. The partition function is calculated from the energy equation obtained. With the partition function, the magnetic properties; magnetization and susceptibility as a function of temperature, tube’s diameter and Aharonov Bohm flux are evaluated. The results of the analysis showed that the zig-zag single-walled (8,0) carbon nanotube has a negative magnetic susceptibility.