Abstract: A method and machine for gluing a heat shrinkable film (9) onto the bottom of a rigid container (1) that is open at its upper part and has a rectangular or square horizontal section remarkable in that the containers are moved on an endless conveyor (2) that extends longitudinally and in that for each new container (1) that arrives, its height (h) and/or its dimension (a) in the transverse direction is measured and that then from the measurement of the height (h) and/or the dimension (a) in the transverse direction of each container, a glue application device (6) and a device (7) for applying the film is adjusted in relation to the corresponding dimensions of each container (1) in such a way as to position these devices as close as possible to the upper edges of the containers and/or to follow the variations in their transverse dimension (a).