An elevator device for transporting persons and/or objects within an elevator shaft of a three-dimensional formation including at least two levels, in particular a building or the like. The elevator device includes an elevator car, in which the persons and/or objects to be transported can be accommodated, a running framework for mounting and guiding the elevator car, a position determining device for determining the position of the elevator car within the elevator shaft and/or with respect to the running framework. The position determining device includes marking units for marking the position of the elevator car relative to the running framework and the elevator shaft, a detection unit for detecting and/or reading out the marking units and also an evaluation unit for evaluating the measured values of the detection unit. The marking units are formed as carriers of a barcode, in particular a 2-D code, and the detection unit is formed as an image sensor, in particular as a camera.