This research is a preliminary study of a new TMD (Tuned Massa Damper) model designed to provide multiple resonant frequencies. The previous studies had largely focused on asymmetric TMD models, such as the Stock bridge-type cable damper. These TMD models make one side damper mass-spring bigger than the other, making it asymmetric. The new TMD model in this research uses a plate as its spring. It is called TMDPS (Tuned Mass Damper with Plate Spring). This model overcomes asymmetric matter for applying multiple resonant frequencies. This paper investigates the modal frequency of TMDPS. The spring is from a circle-shaped plate with a clamp at the center and mass at the circumference. The plate was with and without a circle sector-shaped cut. The outside diameter of the plate and the spoke width between holes were varied, and their effect on modal frequency was studied. This modal study used FEM (Finite Element Method) in ANSYS software. The mode shapes were selected only with the vibration direction vertical or perpendicular to the plate plane. The plate models used two element types: solid and shell elements. Result differences between solid and shell element types were small. The result showed that the wider the spoke width and the smaller the outside diameter, the higher the natural frequency. TMDPS application can attenuate main structure vibration at its resonance frequency. This knowledge can be used for designing TMDPS with multi ple resonant frequencies.