A method of producing a container (2) from a blank (3) made of plastics material within a mould (4) which is provided with a wall (5) defining a cavity (6) bearing the impression of the container (2), and with a mould base (8) which can move relative to the wall (5) between a retracted position in which it extends in set-back manner relative to the cavity (6) and a deployed position in which it closes the cavity (6). The method includes a boxing stage in which the mould base (8) moves from its retracted position to its deployed position, the travel (C) of the mould base (8) between its retracted position and its deployed position being greater than 20 mm.