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The paper presents the results of research devoted to the development of an unified flexible visualization system for security monitoring of computer networks used in the SIEM systems. The developed models and technique of visualization are used for selection of methods of data collection, normalization, preprocessing and representation. The individual components of the proposed visualization system are described using set-theoretic models. To analyze the operability of the developed models and methodologies a software prototype of the visualization system is developed and experiments are conducted.