The invention relates to a rotary cutting head with wires for a brush cutter, grass trimmer, edge trimmer, hedge trimmer or the like, said head comprising a housing (1) containing a supporting body (2) comprising a system (3, 3&prime, 4, 4&prime, 12) for blocking at least two cutting or shearing wires, and a peripheral wall (6) allowing the or each wire to be wound around said wall in said head. Said blocking system comprises at least two movable blocking elements (3, 3&prime) that are independent from each other and each associated with a clamping surface (4, 4&prime) built into the supporting body (2) and comprising a clamping face (10, 10&prime) and a supporting face (11, 11&prime), and a single elastic body (12) that can exert stress on each clamping face (11, 11&prime) for clamping and blocking each wire.
