In the Post-Cold War international environment concept of security is significantly reconsidered beyond a traditional narrow concept of national security that has been defined in military terms. Globalisation and fragmentation, two contradicting processes that mark new millennium and global society in emerging, as well as appearing of new, global challenges and threats of security, influenced predominantly on extension of concept and system of security in several directions. First of all towards individual, societal and global security. Emphasising some of the main features of globalisation and new challenges and threats to security, this paper is dealing with analysis of terms of individual, societal and global security in relation with na...