Due to the existence of both observational and theoretical evidences for the presencernof non-dipolar NS magnetic fields, it has become more and more clear that neutronrnstars posses magnetic field structures, which are much more complicated than thernsimple assumption of a dipolar neutron star (NS) magnetic field.rnThis thesis intends to show the presence of non-dipolar component of the NSrnmagnetic fields as derived from a recent model by kebede[5]. We will derive bothrnthe dipolar and non dipolar components of the field separately. We approach thernproblem by applying Post-Newtonian approximation, to find the angle dependentrncharge distribution on the surface of the neutron star, which results in the non dipolarrncomponents of the NS magnetic field