The invention relates to a false twist texturing machine and to a method of texturing synthetic yarns in, in each case, one processing point, in which a twist-stopping device, a heating device, a cooling device and a false twisting unit are disposed inside a false twisting zone. The yarn is withdrawn from the false twisting zone by means of a delivery mechanism. According to the invention, the twist-stopping device takes the form of a rotatable transport roller, around which the yarn is at least partially wrapped in a peripheral direction and which is drivable by a drive in such a way that the yarn is braked or delivered, so that the yarn tensile force is adjustable inside the false twisting zone.