A conveying device for transport of workpiece carriers from and to one or more machining stations, has a stationary conveyor track having at least one guide rail, with at least one stopping device provided for stopping the workpiece carrier. This stopping device is formed as a pivot lever that is integrated in the at least one guide rail and pivotable for stopping the workpiece carrier from a neutral position in which it is aligned with the guide rail, to a position pivoted outwardly out of the guide rail. A method of stopping a workpiece carrier is also provided.