A method for the pressing of a press fitting, with a tube inserted into the press fitting, by means of a pressing tool, wherein the press fitting has an encircling bead in which an O-sealing ring is placed, wherein the tube ends within the press fitting and a first pressing is carried out within the bead, wherein, furthermore, a further pressing is carried out on the tube-insert side of the press fitting at a distance from the bead, the further pressing leading to the press fitting and the tube obtaining a conicity which prevents them from being pulled off and runs in the same direction.