Abstract: In a double-twist spindle comprising a shaft with a transversely elongated plate the ends of which support a rotatable annular disk, the bobbin-carrier rotatably supported by the shaft being maintained against rotation therewith by a hollow stabilizer which surrounds the shaft and which is itself rotatably mounted about an axis inclined with respect to the axis of the shaft, the first end of the stabilizer being mounted in the bobbin-carrier and the second end of the stabilizer being supported in a ring fixed to the frame and disposed on the other side of the elongated plate with respect to the bobbin-carrier, the said stabilizer having a transverse aperture for passage of the elongated plate, the connection between the elongated plate and the stabilizer is realized by non-mechanical means, as for instance by two pairs of magnets respectively fixed to the plate and to the stabilizer, the facing poles of the magnets of each pair being of selected polarity capable of generating forces which tend to maintain an