A wire twisting machine and method provide a randomly varying lay to pairs of twisted wires forming a cable. A pair of wires are fed into a motor driven bow mechanism which twists the wires at a given rate of speed. The bow winding speed is sensed to provide a signal to a control system employing a computer which generates a randomly varying signal between a selected minimum and maximum range. The random signal is applied to an oscillator which provides a varying frequency signal to a power supply unit. A pulsed direct voltage signal then controls a stepping motor which applies the randomly varying lay signal to vary the speed of the capstan winding the wires with respect to the independent bow speed. This varies the length of lay of the twisted wires within controlled limits.