Cytokinesis, the final step of cell division, conventionally proceeds to cell separation by abscission, or complete cytokinesis, but may in certain tissues be incomplete, yielding daughter cells that are interconnected in syncytia by stable intercellular bridges. The mechanisms that determine complete versus incomplete cytokinesis are not known. Here we report a novel in vivo role of the Drosophila CD2AP/CIN85 ortholog Cindr in both complete and incomplete cytokinesis. We also show evidence for the presence of persistent intercellular bridges in the major larval imaginal disc epithelia. During conventional division of both cultured and embryonic cells, Cindr localizes to cleavage furrows, intercellular bridges, and midbodies. Moreover, in cells undergoing incomplete cytokinesis in the female germline and the somatic ovarian follicle cell and larval imaginal disc epithelia, Cindr localizes to arrested cleavage furrows and stable intercellular bridges, respectively. In these structures, Cindr colocalizes with the essential cytokinesis regulator Anillin. We show that Cindr interacts with Anillin and that depletion of either Cindr or Anillin gives rise to binucleate cells and fewer intercellular bridges in vivo. We propose that Cindr and Anillin cooperate to promote intercellular bridge stability during incomplete cytokinesis in Drosophila melanogaster.