The method involves detecting the tensile force acting on a twisted thread removed from a twisting spindle (2), and comparing the tensile force with a preset reference tensile force. The difference between the detected and reference tensile forces is determined as a correction factor of the driving force of a bobbin drive device (15). The driving force of the drive device and the shifting speed of a traversing device (9) are adjusted corresponding to each other, so that the windings of the twisted thread are arranged within a thread layer parallel to each other over a cross-wound bobbin (10). An independent claim is also included for a double wire twisting machine comprising a twisting spindle.