A method and device for producing a toroidal road vehicle tire carcass having a toroidal frame rotated about its axis in relation to a winding device and defined by two coaxial annular beads and by a removable outer annular element located radially outwards of and centered axially in relation to the two beads, so as to define, with the same, two annular openings; the winding device providing for winding at least one cord about the frame along a spiral path, each turn of which comprises two portions, a first extending outside the frame, and a second extending outside the outer annular element and through both the openings.