A device for use in conjunction with a compartmented distribution line for flat articles, such as letters, which arrive in succession over a conveying path. The device comprises a succession of stacking compartments arranged one behind the other to which the flat articles are supplied by switches separately associated with the individual compartments. On the conveying path, closely before each individual stacking compartment, there is provided a rubber elastic roller-type attachment which faces the upper edge of each flat article against a guide sheet disposed opposite the attachment.