Disclosed is a method for manufacturing a container by stretch blow molding starting from a preform made of plastic material within a forming unit that includes: a mold that is provided with a side wall and a mold bottom having the impression, jointly, of the container; and a stretching rod that is mounted to move in translation in relation to the mold between an upper position and a lower position. The method includes: a pre-blow-molding phase during which a fluid with a pre-blow-molding pressure is injected into the preform, and the rod is moved from its upper position to its lower position with a maximum travel speed of greater than or equal to 2.5 m/s.