A riveting structure and a riveting method are provided. The riveting structure includes a first metal element and a second metal element. The first metal element includes a first upper surface, a pressure-receiving portion and a recess portion. The recess portion is recessed from the first upper surface. The pressure-receiving portion is protruded from a surface of the recess portion. The second metal element includes a second lower surface and a protrusion portion and has a through hole. The protrusion portion is protruded from the second lower surface and correspondingly disposed in the recess portion. The through hole penetrates the second metal element via a central part of the protrusion portion. The pressure-receiving portion is correspondingly received in the through hole and is adapted to be pressed and deformed to be riveted to the through hole.