Abstract: A twisting machine for use in simultaneously imparting a twist to two or more wires while coiling the twisted wires on a drum, or for imparting twist to one or more wires as they are fed from off the drum, is provided with a reel support frame, preferably having retractable pintles, by which a reel is secured in the machine. The frame has a first reeling location within the machine positioned within a circumscribing orbital wire path provided by a wire guide that rotates about the frame and reel so as to twist the wires as they are reeled. The frame is displaceable from a first in-board position within the orbit of the wire guide to a second, reel transfer position, while at standstill, in which the reel is deposited outboard beside the machine while still supported by the frame pintles or a shaft. An interlock system controls the locking, unlocking and displacement of the frame, to ensure absolute safety.