A machine to shape from a preform and fill with liquid successive containers in successive molds. The machine defines a first closed loop and includes a plurality of holding devices adapted to hold a neck of a preform or of a container. The holding devices are distributed along the first closed loop and the machine further includes a conveyor adapted to convey the holding device along the first closed loop. The first closed loop including a forming area along which each holing device is integrated in a forming station. The first closed loop also including one straight portion extending substantially rectilinearly.