The conflicts inside the organization occur in between the people or in-between the groups. The main causes of organizational conflicts are organizational structure, communication, personal variables, limited resources, demographic characters, personality traits etc. The conflicts are categorized as Intra-individual conflict, Inter-individual conflict, Intra-group conflict and Inter-group conflict and further as vertical conflicts and horizontal conflicts or as functional and dysfunctional conflicts. Different aspects of conflict management include competing, collaborating, avoiding, accommodating and compromising. As explained by Henry Mintzberg in 1960s, managers perform 10 different roles. They are categorized into three groups as interpersonal, informational and decisional roles. In present organizational conflicts can be experienced among administrators, academic and supporting staff and among students and in-between those different groups. A recent study, conducted in Sri Lankan state universities revealed that there is a sizable level of organizational conflicts exist in Sri Lankan universities. Further some researches have proven that there are research gaps in different aspects of organizational conflicts under the Sri Lankan context. The main objective was to develop a Conceptual Framework based on literature to investigate the organizational conflicts in Sri Lankan state universities, and how the roles of university administrators are influenced by the organizational conflicts through their personality traits. The steps followed in this investigation were secondary data collection (literature), developing conceptual frame work (research modal), hypothesis and objectives. The conceptual frame work was developed and the independent variables were organizational conflicts and dependent variables were managerial roles of the administrators. The influence of conflict management strategies, personality traits and socioeconomic characters of the administrators also would be analyzed as intervene variables. It was further recommended to develop the conceptual framework by receiving comments from experts for the research.