Vibration can affect the stability of a structure, and constant vibration can lead to fatigue and structure damage. Vibration damping methods can roughly be divided into two types: active and passive. Generally speaking, active damping is the most effective approach to vibration damping; however, most conventional machine tools vibrate in the vertical direction, which is best dealt with using a tuned-mass damper comprising a mass and one or more spring. This study proposed a novel concept for vibration mitigation on an elastic medium dual-plate system. In this research, a 10 millimeter plate served as a main body and using the elastic medium as vibration dampers, another plate or membrane was connected with the damper to construct a plate-damper-plate (membrane) passive vibration reduction system. The natural frequency of the main plate was obtained by using the “Impact hammer” experimental method. These result were verified by using theoretical prediction and the ANSYS analysis. 4 kinds of elastic medium dampers were considered in this study. Each damper was connected with the main plate and the other side was attached with another plate or membrane, respectively. The experiments of measuring their vibration amplitudes were carried out by using laser displacement transducer. Another 3 kinds geometric shapes of elastic medium dampers were also considered in this study to find the optimum combination of the passive damping system. We found that the firmer the elastic medium, the better the damping effects. The closed and with cross shape elastic medium damper showed the best damping effect compare with other combination. Experiments verify the efficacy of the proposed novel device in improving damping performance beyond what has been achieved using conventional devices. We also provide an explanation of the theoretical underpinnings of the design as well as the implications of these findings with regard to future developments.