The invention relates to a non-linear particle impact damper. The non-linear particle impact damper comprises an additional flange outer ring, a mass inner ring, variable stiffness springs, damper cavity units and particle groups. The additional flange outer ring is connected with a main system through bolts, the additional flange outer ring and the mass inner ring are arranged concentrically, in the horizontal direction, the mass inner ring is connected with the additional flange outer ring through the variable stiffness springs, a spring unit is composed of eight variable stiffness springs which are arranged uniformly and symmetrically in the circumferential direction, each damper cavity unit is a single cuboid or cylinder structure, the interior of each cavity is provided with a layer of the particle groups, and the particle groups are composed of round or out-of-shape metal or nonmetal particles. By reasonably arranging the rigidity of the variable stiffness springs and the added mass, different rigidities can be provided in all directions on the horizontal plane in order to tune the frequency of the structure. Under the action of wind/earthquake, the non-linear particle impact damper provides different rigidities in all directions to tune the frequency, spring rigidities are not changed linearly, and kinetic energy of the structure can be transferred and dissipated through friction and impact of the particle groups.