The device is for blow moulding containers. Parisons made from a thermoplastic material are heated in the region of a heating path and then transferred to a blowing device. The blowing device is provided with at least one blowing station for moulding the parisons into the containers. The parisons are supported by a support element along a least a part of the transport path thereof, which is at least partly loosely introduced into a mouth section of thee parison and after introduction clamped within the mouth section. The clamp element has a round embodiment. At least two clamp elements are arranged at a separation from each other along an outer circumference of the head.
