Abstract: A method for the operation of a thermoforming machine in which successive sections of a thermoforming web are formed includes the steps of continuously feeding a thermoformable web of plastics material into the entry of the thermoforming machine from an exit support roll of a substantially horizontal run portion of a conveyor, the exit support roll being movable forwardly in the direction of movement of the web and rearwardly in the opposite direction so as to respectively extend and retract the length of the horizontal run portion of the conveyor with the web flow speed at which the web is deposited initially on the conveyor and with the movement of vertically opposed male and female forming tools which are part of the thermoforming machine and which are able to advance and retract horizontally respectively in and against the web movement direction and to move vertically perpendicular to their horizontal movement.