A weighing system fills capsules with a product, each capsule having a body. The weighing system includes a weighing unit with a weighing cell and a gripping element connected to the weighing cell by means of a loading stem and provided with a housing for receiving and/or retaining a capsule or body to be weighed. The weighing system also includes a connecting element rigidly fixed to the loading stem and slidably and elastically supporting the gripping element that is movable between a measuring position, wherein the gripping element is completely supported by the loading stem and spaced from an abutment wall of the weighing unit by an elastic element, and an end-stroke position reached by contrasting the thrust of the elastic element, wherein the gripping element abuts the abutment wall.