This invention relates to an electrical connection device on a plate-type or strip-type material (1, 1′), which cannot be soldered or is difficult to solder or which is provided with a surface that cannot be soldered or is difficult to solder, having the following characteristics: A self-clinching bolt (5) is provided with a bolt head (7) that, relative to the bolt body (9) beneath, has a tapered cross section such that the bolt head (7) transitions, by way of a conical or shoulder-like sloping flank (11), into the bolt body (9) having an outer circumference (9′) that has a diameter larger than that of the bolt head (7). The outer circumference (9′) of the bolt body (9) is of smooth design, or is provided with a knurling (15). In the penetration area of the self-clinching bolt (5), the plate-type or strip-type material (1, 1′) is provided with a non-flanged material edge (101). Within the material edge (101), the self-clinching bolt (5) is press-fit with a peripheral area of the bolt body (9) thereof, thus creating a force fit.