The modeling of the Non-Destructive Testing (NDT) by Eddy Currents (EC) problem has a vital interest, in particular in the field of aeronautics. This modeling can be used to obtain simulations that make possible to improve the test performances and to characterize defects and various structures including the structures whose thickness are low. The finite element method (MEF) is one of the methods most adapted to problems which have complex geometries of low thickness. However, a great difficulty can be shown during the domain discretization (mesh generation). A bad mesh grid can lead to an erroneous solution. There are several methods which can overcome this difficulty. The method of the shells elements recognized by their strong capacity of adaptation to thin geometries is used in this study. The principal objective of this study is the programming of a code which enables to simulate thin structures which can raise difficulties of the modeling of NDT-EC problems. The developed code is based on a numerical resolution of the Maxwell’s equations using the shells elements method. The resolution of the obtained system allows the calculation of various fields in the different zones of the considered structure, thus well that the probe impedance. The obtained results are compared with the analytical results. A good accordance between results is observed which affirms that the shells elements represent a viable solution for this type of electromagnetic modeling.