A stretching apparatus of fibre tows in a pressurized steam environment includes an elongated stretching chamber having a generally rectangular section of a low height, within which the tows are treated with saturated or overheated steam at high temperature and pressure and simultaneously undergo a mechanical stretching operation. The stretching chamber has a width sufficient to house multiple tows mutually flanked in a running plane and is formed within a stretching chest made of aluminum. The stretching chest is housed in a supporting structure, having a higher structural rigidity than the stretching chest, which includes a plurality of contact elements apt to determine a predefined position of the stretching chest with respect to a direction perpendicular to the tow running plane and to allow a limited mobility of the stretching chest in the other two mutually perpendicular directions which lie in the plane, length and width respectively.