Device for applying a piece of film of material to a container, comprising: first feed means movable along a predetermined movement path and comprising a plurality of seats for housing a corresponding plurality of containers arranged in succession on at least a first row and a second row, running parallel to each other and developing along an operating direction; second feed means of a film of material arranged along said movement path configured so that at least one operating section of the film faces the first feed means and can move along said operating direction; an application station arranged along said movement path, at said operating section of the film, provided with: pressing means configured to fasten said film to at least one container placed in a first seat of the first row and at least one container placed in a second seat of the second row; a first cutting head arranged along the first row of seats, associated thereto and configured to cut the film along a predetermined closed fracture line at said first seat; characterized in that said application station further comprises a second cutting head arranged along the second row of seats, operatively associated thereto and configured to cut the film along a predetermined closed fracture line at said second seat wherein, with reference to the operating direction, the second cutting head is placed downstream of the first cutting head. first feed means movable along a predetermined movement path and comprising a plurality of seats for housing a corresponding plurality of containers arranged in succession on at least a first row and a second row, running parallel to each other and developing along an operating direction; second feed means of a film of material arranged along said movement path configured so that at least one operating section of the film faces the first feed means and can move along said operating direction; an application station arranged along said movement path, at said operating section of the film, provided with: pressing means configured to fasten said film to at least one container placed in a first seat of the first row and at least one container placed in a second seat of the second row; a first cutting head arranged along the first row of seats, associated thereto and configured to cut the film along a predetermined closed fracture line at said first seat; characterized in that said application station further comprises a second cutting head arranged along the second row of seats, operatively associated thereto and configured to cut the film along a predetermined closed fracture line at said second seat wherein, with reference to the operating direction, the second cutting head is placed downstream of the first cutting head. pressing means configured to fasten said film to at least one container placed in a first seat of the first row and at least one container placed in a second seat of the second row; a first cutting head arranged along the first row of seats, associated thereto and configured to cut the film along a predetermined closed fracture line at said first seat; characterized in that said application station further comprises a second cutting head arranged along the second row of seats, operatively associated thereto and configured to cut the film along a predetermined closed fracture line at said second seat wherein, with reference to the operating direction, the second cutting head is placed downstream of the first cutting head.