<p>The hybrid method based on the collocation element-free Galerkin method and the boundary element method has been applied to the 2D steady-state scattering problem of the electromagnetic wave. In addition, the performance of the proposed method has been investigated numerically. In this study, the numerical solution of the proposed method has been obtained by using the GMRES(m) method for the complex linear system. The results of computations show that the relatively smooth distribution of electric field is obtained regardless of the boundary shape. Therefore, it is found that the proposed method can be used as one of the tools for solving the 2D steady-state scattering problems of the electromagnetic wave.</p>