There are presented the results of the investigations of the fingerprints’ images correlation recognition in conditions of different distortions - scale, angular orientation change, image’s surface reducing, noises’ influence. There are examined possibilities of the persons’ identification and their verification. There are proposed and investigated the method of the fingerprints’ semi-spectrums recognition and the method of the fingerprints’ space-dependent recognition. There are presented the structures of the special purpose mono-channel and multi-channel optical-electronic systems and are described computing processes in the systems at the realization of the different fingerprints recognition algorithms: “FSR-1”, “FSR-2”, “FSDR-1”, “FSDR-2”, “FICR”. Also, there are presented the results of systems investigations: fingerprints time recognition, systems productivity at the fingerprints comparison step, systems prices.