The conventional PML method performance is not very well in elongated rectangular models. In addition, it is not working well for the low frequency waves. Additionally, conventional PML adopts a nonphysical splitting of the wave field components and equations, leading to two different sets of equations for the interior domain and the PML layer, which implementing of it into an existing numerical modeling code is not straight forward. To circumvent these problems, CPML method with complex frequency shifted stretching tensor has been implemented on an isotropic and homogeneous elastic model and the numerical results were compared with each other. Numerical results of implementing PML methods on an isotropic and homogeneous model with evanescent waves shows that the CPML based on the complex frequency shifted stretching tensor can improve the performance of the absorbing boundary layer considerably.