Tumours that have lost BRCA2 are characterized by alterations in whole chromosome numbers and by chromosomal structural defects. This paper highlights a function of BRCA2 in cytokinesis. BRCA2 localizes to the midbody through its interaction with filamin A, and recruits ALIX and TSG101, which are endosomal sorting complex required for transport (ESCRT)-associated proteins. This enables the formation of CEP55–ALIX and CEP55–TSG101 complexes involved in abscission. Cancer-relevant BRCA2 mutations prevent the formation of these complexes and result in aberrant cytokinesis, and so might explain aneuploidy in BRCA2-mutant tumours.