Reversible wire twisting pliers comprising a pinching device provided with clamping jaws movable between an open position and a closed position wherein they are forced towards one another, a reversible movement transformation device comprising at least one casing and a pin having a longitudinal axis C of revolution and being movable in translation with respect to said pinching device, said pinching device being coupled by means of anchoring, at least in closed position, to said transformation device so that the translation of said pin is transformed, by said transformation device, in rotation of said pinching device, said pin being provided with at least one recessed right-hand helix and one left-hand helix and of similar pitches, said casing and said pin being carried out by means of coupling comprising at least one separate right-hand guiding element (128a, b) and one left-hand guiding element (129a, b), each radially movable between a drive position wherein said casing is forcefully coupled respectively to said right-hand, left-hand helix, and a free position wherein said casing is free with respect to said right-hand, left-hand helix, said casing being movable with respect to said right-hand (128a, b), left-hand (129a, b) guiding elements in order to allow for the inversion in the direction of the transformation of movements, between: - a right-hand position wherein said right-hand guiding element (128a, b) is forced in its drive position and said left-hand guiding element (129a, b) is in its free position, and - a left-hand position wherein said right-hand guiding element (128a, b) is in its free position and said left-hand guiding element (129a, b) is forced in its drive position, said pliers being characterised in that said means of coupling comprise a single-piece drum, concentric with said pin, arranged between said casing and said pin, radially passed through by at least one guiding orifice (118a, b, 119a, b) able to constantly receive at least one first portion of said right-hand (128a, b), left-hand (129a, b) guiding elements, said right-hand (128a, b), left-hand (129a, b) guiding elements being movable in said guiding orifice (118a, b, 119a, b) in such a way that a second portion of each right-hand (128a, b), left-hand (129a, b) guiding element is forcefully and directly engaged in said right-hand, left-hand helix, in said drive position of each one of said right-hand (128a, b), left-hand (129a, b) guiding elements. - a right-hand position wherein said right-hand guiding element (128a, b) is forced in its drive position and said left-hand guiding element (129a, b) is in its free position, and - a left-hand position wherein said right-hand guiding element (128a, b) is in its free position and said left-hand guiding element (129a, b) is forced in its drive position, said pliers being characterised in that said means of coupling comprise a single-piece drum, concentric with said pin, arranged between said casing and said pin, radially passed through by at least one guiding orifice (118a, b, 119a, b) able to constantly receive at least one first portion of said right-hand (128a, b), left-hand (129a, b) guiding elements, said right-hand (128a, b), left-hand (129a, b) guiding elements being movable in said guiding orifice (118a, b, 119a, b) in such a way that a second portion of each right-hand (128a, b), left-hand (129a, b) guiding element is forcefully and directly engaged in said right-hand, left-hand helix, in said drive position of each one of said right-hand (128a, b), left-hand (129a, b) guiding elements.