Abstract: The finite particle method (FPM) is a new structural analysis method based on the vector mechanics. It describes structural behaviors by analyzing particles moving and is an explicit time integration framework to solve structural dynamic problems. However, in terms of the energy dissipation mechanism, deficient damping form exists in this method. Firstly, the fundamental theory of FPM and its existing damping model are introduced. Based on the Rayleigh scheme, two models for FPM damping are proposed. Then, the proposed damping models are discussed by numerical examples and tests. The results show that both of the proposed models can enhance the damping approximation with a higher accuracy and therefore improve the FPM theory.