A hollow punch rivet is described having a flange and a rivet section. Furthermore, a method for the attachment of individual components to one another using a punch rivet is described, with at least one of the components being formed by a material of the composite material. The method includes the following steps: a) arrangement of the die button against one of the two components to be secured to one another, which are placed on one another, wherein the die button has a bore which is dimensioned to receive the rivet section, b) carrying out a relative movement of the punch rivet with the free end of the rivet section to the fore towards the components arranged on one another and in the direction of the die button, c) piercing of the components with the free end of the rivet section and introduction of the rivet section into the bore of the die button until the component contact surface comes into contact and the component adjacent to the flange, d) using a plunger in order to dilate the punch rivet at least locally and e) forming a rivet bead by reshaping the free end region of the rivet section.