The process is used for the screening of molecules from molecule libraries with regard to their individual binding behavior towards at least one given ligand. For this purpose the ligands labelled with a fluorescent dye are mixed with the molecule library which is in the form of a suspension. The mixture is plated out on a two-dimensional substrate (2) after the excess, unbound ligands have been washed out. Then the local fluorescence intensities on the substrate are electro-optically identified in a fluorescence microscope (5) and electronically discriminated in accordance with given selection criteria. The objects selected and localised in this way are then sequentially positioned exactly by a displacement, the coordinates of which are controlled by the image calculator, between the substrate (2) and a separation actuator (20, 21) and are spatially separated from the substrate (2) by the separation actuator (20, 21).