Method of manufacturing a container from a blank of plastic material, within a mold provided with a wall defining a cavity with the impression of the container, and a mold bottom that is movable with respect to the wall between a retracted position and a deployed position in which it extends protruding into the interior of the cavity in order to form a hollow recess in the container. The method includes inserting the blank into the mold; a pre-blowing operation including injecting a fluid under pressure into the blank, at a pre-blowing pressure; a blowing operation including injecting a fluid under pressure into the blank at a blowing pressure that is greater than the pre-blowing pressure; and a boxing operation, initiated prior to the blowing operation, and including moving the movable mold bottom from its retracted position to its deployed position.