In this paper, analytical and experimental studies of the vibration suppression of a square plate with a particle damper are discussed. The primary objective of this paper is to construct an analytical model to simulate the transient impact response of a plate with a particle damper. In the experimental approach, an acrylic resin plate with all sides clamped was used. The transient vibration of the plate caused by the impact of a steel ball was measured with a laser displacement sensor. The effects of the mass ratio, particle material and cavity shape on the damping efficiency were investigated. To capture the behavior of the entire system in detail, an analytical model based on coupling between the finite element method and the discrete element method was constructed. Rayleigh damping was used to approximate the damping behavior of the plate without granular materials. Comparison between the experimental and analytical results showed that accurate estimates of the response of a plate can be obtained.