To enable to carry out both left and right independent spinning by one unit of drawing frame by spinning respective slivers by means of a first delivery and second delivery of a two-delivery drawing frame.

Can exchanger A capable of making exchange between full can and empty can independently by each of a first and a second delivery unit is furnished to a two-delivery drawing frame D, and a first can C1 for storing a specific length of a first sliver S1 spun in the first delivery of the drawing frame D is transferred upstream side from the second delivery in the drawing frame D by means of a can transfer device B so as to spin this first sliver S1 by the second delivery to change it to a second sliver S2.