BRCA1/2 -mutated cancer cells must adapt to the genome instability caused by their deficiency in homologous recombination. Identifying and targeting these adaptive mechanisms may provide new therapeutic strategies. Here we present the results of genome-scale CRISPR/Cas9-based synthetic lethality screens in isogenic pairs of BRCA1- and BRCA2-deficient cells that identified the gene encoding CIP2A as essential in a wide range of BRCA1 - and BRCA2 -mutated cells. Unlike PARP inhibition, CIP2A-deficiency does not cause accumulation of replication-associated DNA lesions that require homologous recombination for their repair. CIP2A is cytoplasmic in interphase but, in mitosis, accumulates at DNA lesions as part of a complex with TOPBP1, a multifunctional genome stability factor. In BRCA-deficient cells, the CIP2A-TOPBP1 complex prevents lethal mis-segregation of acentric chromosomes that arises from impaired DNA synthesis. Finally, physical disruption of the CIP2A-TOPBP1 complex is highly deleterious in BRCA-deficient cells and tumors, indicating that targeting this mitotic chromosome stability process represents an attractive synthetic-lethal therapeutic strategy for BRCA1 - and BRCA2 -mutated cancers.