Springing construction for making mattresses where a plurality of resilient modular elements having a central coupling body for coupling to locating bars are extended substantially parallel to the lying plane of the mattress and the central coupling body is associated with a central springing element that adjoins, on opposite sides of the locating bars lying plane, springing side elements, and the modular elements are resiliently yieldable along a direction that is substantially perpendicular to the mattress lying plane.