A blow mold high-pressure switching step in a blow molding process of an injection stretch blow molding machine is arranged at the first half portion of the blow molding process, to shorten the injection molding process and improve the moldability. The blow mold high-pressure switching step 61B3 of increasing a mold clamping force for blow molds which have been closed in a blow molding process 61B is configured to be performed at a timing within a time from the start of the upper/lower mold opening step 62A1 for opening upper and lower molds in the injection molding process 62A to release a preform 3P to the completion of the injection mold high-pressure switching step 62A3 for increasing the mold clamping force for the closed injection molding mold.