The two-piece nozzle for an aerosol dispenser has (i) an outer piece (12, 22) provided with a tubular wall (121, 221) open on one side and closed on the other by a front wall (122, 222), forming a cavity, the front wall being provided at its center with an outlet opening (123, 223), the outer piece having a certain symmetry about an axis of symmetry (A) and (ii) inner piece (11, 21) separate from the dispenser for which the nozzle is intended, the inner piece (11, 21) being dimensioned to penetrate into the cavity of the outer piece while being retained therein, the inner piece having a front face (111, 211) facing the front wall (122, 222) of the outer piece and a lateral face following the front face. Channels (112, 125, 224, 225) are made in the cavity of the outer piece (12, 22) and/or on the surface of the inner piece, which channels open into a turbulence chamber (127, 227) in communication with the outlet opening (123, 223), the outlet opening (123, 223) being placed in the flow path of the product flow downstream of the turbulence chamber. The channels are divided into lateral channels (112, 224) in the lateral face of the inner piece (11, 21) and/or in the inner face of the tubular wall of the outer piece (12, 22), and into converging channels (125, 225) in the front wall (122, 222) of the outer piece or in the front face (111, 211) of the inner piece.