The multiple conveyor is associated to an automatic machine for filling containers, and moves the containers through an inlet station, a filling station, a capping station and an outlet station. The multiple conveyor comprises: two transporters developing along a ring-wound trajectory which includes the stations; four batteries each formed by a predetermined number of gripping organs provided to receive and grip a same predetermined number of containers, the batteries being arranged along the trajectory and constrained, in pairs, to respective drive groups, in such a way that the batteries of one pair are intercalated with those of the other pair, and distanced, with respect to the other pair by dynamically variable amounts; control and command organs, suited to managing the transporters independently one from the other, based on dynamically variable parameters, in agreement with the motion required from time to time by the stations occupied by the respective batteries of gripping organs (3).