Machine for blow-moulding articles from a strip of material (100), comprising a structure (1) on which two chassis (11, 22) are mounted, these each being connected to a displacement actuator so that they can each be moved along a path of the strip between an upstream position and a downstream position with reference to a direction in which the strip travels through the machine, a rod (3), a retaining member and a mould (8) being mounted respectively on the structure and on the chassis (11, 22), and a control unit being connected to the displacement actuators in order to command these so as to bring about a sequence whereby the guide rod (3) and the mould (8) are moved relative to the retaining and mould-opening and closing member so as to cause the strip to advance along the straight path.