Abstract: The present invention relates to a method and apparatus for processing rectangular pieces of fabric wherein the piece of fabric is moved in a first direction until the front edge reaches and is held in a predetermined front position, whereas the remaining part of said piece continues to move in said first direction until the rear edge reaches and is held in a predetermined rear position. The piece is thereafter moved in a second position while the front and rear edges are kept apart at a predetermined distance, and the aforesaid edges are hemmed simultaneously by hemming machines. The method and device according to the invention are used for hemming pieces having two parallel edges, and in particular rectangular pieces cut from a continuous web of fabric, such as for example floor cloths.