Abstract: This process provides for twisting continuously supplied wires in one of preset directions with an essentially uniform pitch of twist ensuring the maximum number of lays in the zone of preliminary twisting, while simultaneously twisting the wires in the opposite direction in the zone of final twisting of wires to form an article.The machine for accomplishing the process comprises, sequentially mounted on a bed, an unwinding device, a twisting mechanism, a pull-out mechanism and a take-up mechanism. Arranged between the unwinding device and the twisting mechanism are guides accommodating a carriage having a reciprocation drive. According to the invention, the machine is provided with an auxiliary twisting head mounted on the carriage and provided with a drive for rotating the head synchronously with the twisting head of the twisting mechanism.