Visualization is the essential part of Security Information and Event Management (SIEM) systems. The paper suggests a common framework for SIEM visualization which allows incorporating different visualization technologies and extending easily the application functionality. To illustrate the framework, we developed a SIEM visualization component VisSecAnalyzer. The paper demonstrates its possibilities for the tasks of attack modeling and security assessment. To increase the efficiency of the visualization techniques we applied the principles of the human information perception and interaction.