Conflict is a ubiquitous feature of groups in organizations that clearly affects group performance. While prior research has investigated the role of personality on conflict resolution styles at the individual level, little work has examined the role of personality on the emergence of conflict. This may be partially due to the fact that the emergence of conflict is inherently a group-level phenomenon, and thus requires the aggregation of personality to the group (or at least dyadic) level of analysis. I propose that each of the Big Five personality traits (or specific facets), at the group level, affect the emergence of either task conflict, relationship conflict, or both. Developing our understanding of how group personality composition affects both of these types of conflict is necessary to better enable groups to manage conflict, and thereby lessen potentially harmful outcomes resulting from conflict.