The invention concerns an elastomeric composition useful for producing tyres, based on at least: (i) a diene elastomer, (ii) an inorganic filler as reinforcing filler and (iii) as coupling agent (inorganic filler/diene elastomer), a polysilylated organosilicon compound at least with two functions capable of being grafted on the elastomer with a sulphur-containing group with polysulphenamide function, of formula Si A SX NR1R2, wherein: A is a divalent binding group, linear or branched, enabling the polysulphenamide group to be bound to a first silicon atom of the organosilicon compound; x is an integer or fractional number from 2 to 4; R1 represents hydrogen, a monovalent hydrocarbon group or R2; R2 represents the group B Si , wherein: B is a divalent binding group, linear or branched; Si represents a second silicon atom of the organosilicon compound. The invention also concerns tyres and tyre running treads comprising said composition.