A punch rivet and a die for the production of a punch rivet connection are described. The punch rivet is characterized by special rivet foot and underhead geometries. In the region of the rivet foot, the shank outer face and shank inner face are connected by means of a small radially outer radius and a larger radially inner radius, which radii merge into one another tangentially. The angle that the common tangent encloses with a radial plane is in the range of 10°±20°. The die is preferably matched to the described punch rivet, but can also be used in combination with conventional punch rivets.