Abstract: A false twisting apparatus comprising: a pair of first feed rollers for feeding a yarn to be false twisted; a pair of second feed rollers for feeding a false-twisted yarn; a first heating means and a twisting means whcih are provided between the first and second feed rollers in order to false twist the yarn fed by the first feed rollers; wherein first and second stabilizing means for cooling and stabilizing the yarn heated by the first heating means are arranged between the first heating means and the twisting means in the recited order; the first stabilizing means being arranged substantially aligned with the first heating means; an interior angle defined between the first and second stabilizing means and inside the apparatus being more than 90.degree.; and the length of the second stabilizing means being shorter than that of the first stabilizing means.