Abstract: The injection-blow-moulding mould comprises: a punch (1) having a blow opening (3) connected to a first conduit (5) which is in communication with a first source of pressurised gas supply (6) configured to supply pressurised gas through the blow opening (3) at an overpressure (OP) above a blowing pressure (BP) suitable to blow a preform (30a) into a container (30b) and an exhaust opening (4) connected to a second conduit (7) which is in communication with a pressure-limiting device set at the blowing pressure (BP); a blow-moulding cavity (2) configured to receive therein the punch (1) with a hot and soft preform (30a) arranged thereon; and a cooling device associated to the blow-moulding cavity (2). Gas inside the container (30b) exceeding the blowing pressure (BP) is allowed to escape through the exhaust opening (4) thereby a cooling gas stream is created from the blow opening (3) to the exhaust opening.