A fluid dispenser head including an inlet well (14), an axial assembly housing (2) in which there extends a pin (3), and a nozzle (4) assembled along an axis X in the axial assembly housing (2). The head also includes two feed ducts (15), each connecting the inlet well (14) to the axial assembly housing (2). The pin forms two swirl channels (35) connected in tangential manner to a swirl chamber (36). The nozzle is in sealing contact with the pin (3) so as to define two connection sections, each connecting a feed duct (15) to a swirl channel (35).