A rail-led conveying device includes a conveying vehicle with at least three runner rollers for rolling conveying along a rail guide. Rotation planes of the at least three runner rollers are arranged at an angle of greater than 0° and smaller than 180° relative to one another. The associated conveying installation includes a plurality of such conveying devices as well as a corresponding rail guidance with a rail body. The rail body includes a rail body longitudinal section with three runner surfaces that are arranged on the outer periphery of the rail body and are for the at least three runner rollers of the conveying device. The surface normals of the three runner surfaces are arranged at an angle to one another of greater than 0° and smaller than 180°.