This review article aims to provide a greater understanding of on-going research in fracture behavior of additively manufacturable microcellular structures. Despite growing recent investigations in the mechanics of microcellular structures, predominantly on their constitutive behavior and structural optimization, understanding the fracture behavior is still in its infancy, particularly for functionally patterned microcellular structures. While presenting a comprehensive review of the past and current research activities, this paper discusses potential future directions that are necessary to fully cover unexplored areas in this field.