Critical theory as a part of Neo-Marxism is a new stream through philosophy, sociology and humanities. The author has structured a debate in away to emphasize the importance of critical theory in international relation’s development and progress. Critical theory scholars like Robert Cox have sought to focus on the importance of society and history. This method also claims to have appropriateness in treatment of any problem. It has challenges to the logic of the process and suggests to determine preferences of employing the social, cultural and political influences. A major theme to consider for this method is to relate certain common premises to capitalism and sovereignal state system, and to ask a rational choice among Marxism and Realism. Robert Cox and Andrew Linklator have adopt the straight forward approach of canvassing historical materialism.