A vibration damping system (10) includes a laminated body (16) formed by alternately laminating rigid hard plates (12) and viscoelastic soft plates (14). At both ends in the laminating direction, the laminated body (16) is connected to a vibration generation section and a vibration receiving section, respectively. The soft plate (14) arranged in a region subjected to a higher isostatic stress is made thicker than the soft plates (14) arranged in other regions. Even when the vibration damping system (10) is applied with vibration having a large amplitude and prying deformation is thereby caused, the soft members (14) are prevented from isostatic fracture to provide a significantly improved durability of the vibration damping system (10).