PURPOSE: To improve the operation efficiency of the twisting machine by symmetrically arranging winding sprindle drive pulleys in the longitudinal direction of the twisting machine when winding up the temporarily twisted thread in the same direction as the direction of twisting.

CONSTITUTION: When a drive motor 14 is rotated in the direction of arrow, individual pulleys are roated in the same direction through a drive shaft 13 and couplings 13, so that adjacent winding spindles 7 in each row are rotated in opposite directions. Thus, even when an internal contact type frictional twisting machine is used, it is possible to separately obtain winding in Z twisting direction and that in S twisting direction with a single spindle drive source in one twister. Thus, while it has been necessary to provide two twisters as a set by the prior-art winding method, a single twister can be used in such a manner as to meet manufacturing conditions.