Ground vibrations due to surface loads and incident waves are considered. The reduction of the vibration is achieved by using a wave impeding barrier. The considered structure is the foundation of a building. For incident waves from below the current investigation shows that a wave impeding barrier is not a proper reduction measure. Ground vibrations due to the surface load can be strongly reduced by the wave barrier. The effectiveness of the wave barrier can be improved by increasing its length and stiffness. Key Words: Traffic induced vibrations, response reduction, wave impeding, BE-FE coupling