In a method for the monitoring of a monitored zone next to and/or in an apparatus having at least one driven movable part, video images are used which were detected in time sequence by at least two video cameras whose fields of view overlap at least partly in an overlap region in the monitored zone. On the basis of the first video images detected by a first one of the video cameras, a first recognition and/or tracking of virtual objects is carried out and, on the basis of the second video images detected by a second one of the video cameras, a second recognition and/or tracking of virtual objects is carried out, the virtual objects corresponding to real objects at least in the overlap region. For the classification and/or determination of the position and/or the movement of at least one real object in the overlap region, virtual objects corresponding to the real object from the first and second virtual object recognition and/or tracking processes are determined and data determined in each case for both virtual objects on their virtual object recognition and/or tracking are evaluated. At least one monitoring signal is formed in dependence on the evaluation.