Method for twisting a plurality of single lines (L1-L4), in which (a) the single lines (L1-L4) are introduced into clamps of a fixing unit at a first position, wherein the contact pressure of the clamps is for this purpose reduced so that, although the single lines (L1-L4) can be drawn through the clamps , said contact pressure is still high enough that the single lines (L1-L4) are held tautly on account of friction arising during the drawing-in operation, (b) the single lines (L1-L4) are fastened in respective mounting elements of an untwisting unit at a second position that is spaced apart from the first position in a longitudinal extent (A) of the single lines (L1-L4), (c) the single lines (L1-L4) are introduced into a twisting unit so as to be longitudinally displaceable between the first position and the second position, (d) the single lines (L1-L4) are tensioned between the fixing unit and the untwisting unit as a result of movement of the fixing unit and/or of the untwisting unit , (e) the single lines (L1-L4) are twisted by means of a rotational movement (D1) of the twisting unit , wherein the twisting unit is moved in a direction of movement from the direction of the fixing unit in the direction of the untwisting unit , (f) the untwisting unit with the single lines (L1-L4) performs a rotational movement corresponding to and oriented in the same direction as the rotational movement (D1) of the twisting unit in such a manner that the mounting elements are rotated about a common axis of rotation by a common, collective rotational movement corresponding to the rotational movement of the twisting unit , and in addition the mounting elements themselves are rotated in the opposite direction to the collective rotational movement. (a) the single lines (L1-L4) are introduced into clamps of a fixing unit at a first position, wherein the contact pressure of the clamps is for this purpose reduced so that, although the single lines (L1-L4) can be drawn through the clamps , said contact pressure is still high enough that the single lines (L1-L4) are held tautly on account of friction arising during the drawing-in operation, (b) the single lines (L1-L4) are fastened in respective mounting elements of an untwisting unit at a second position that is spaced apart from the first position in a longitudinal extent (A) of the single lines (L1-L4), (c) the single lines (L1-L4) are introduced into a twisting unit so as to be longitudinally displaceable between the first position and the second position, (d) the single lines (L1-L4) are tensioned between the fixing unit and the untwisting unit as a result of movement of the fixing unit and/or of the untwisting unit , (e) the single lines (L1-L4) are twisted by means of a rotational movement (D1) of the twisting unit , wherein the twisting unit is moved in a direction of movement from the direction of the fixing unit in the direction of the untwisting unit , (f) the untwisting unit with the single lines (L1-L4) performs a rotational movement corresponding to and oriented in the same direction as the rotational movement (D1) of the twisting unit in such a manner that the mounting elements are rotated about a common axis of rotation by a common, collective rotational movement corresponding to the rotational movement of the twisting unit , and in addition the mounting elements themselves are rotated in the opposite direction to the collective rotational movement. <EOS>