A double-sided expanded plate riveting structure and a double-sided expanded plate riveting method are disclosed. By providing an upright portion, a bottom end of the upright portion is bent toward at least one side to form a folded portion, and at least one side of the folded portion partially extends beyond a plane corresponding to an outer side of an expanded structure for a press head to perform a pressing operation, which effectively avoids a bend and deformation of a double-sided expanded plate in the riveting process.