A connector for conductor bars, which are in-line or extend at a right angle with regard to one another and which rotate 90° around their longitudinal axes. The connector is comprised of a first contact piece and of a second contact piece of which the first contact piece is fastened in an eccentric manner, with regard to the longitudinal axis thereof, to the second contact piece at a position on the second contact piece that is also positioned in an eccentric manner with regard to the longitudinal axis. The first contact piece is connected to the second contact piece in such a manner that their longitudinal axes extend at a right angle with regard to one another but at a distance from one another so that the contact surfaces of the contact pieces do not intersect or overlap one another, but are adjacently arranged such that the pivot by 90° towards one another.