A polygon particle model with discrete element method（DEM） is developed based on the Hooke’s law, in which the geometry change caused by the elastic deformation and features of material can be taken into account. A DEM programme is developed based on the proposed model and collision processes of elastic particles is studied with finite element method(FEM) and DEM. Comparing the result of DEM with that of FEM. When dealing with the problem of particles contact, the real deformation and the contact force variation of the particles can be presented more accurately with elastic deformable particle model, compared with that from traditional rigid particle model.