SWI/SNF complexes are among the most studied ATP-dependent chromatin remodeling complexes, mostly due to their critical role in coordinating chromatin architecture and gene expression. Mutations in genes encoding SWI/SNF subunits are frequently observed in a large variety of human cancers, suggesting that one or more of the multiple SWI/SNF functions protect against tumorigenesis. Chromatin remodeling is an integral component of the DNA damage response (DDR), which safeguards against DNA damage-induced genome instability and tumorigenesis by removing DNA damage through interconnected DNA repair and signaling pathways. SWI/SNF has been implicated in facilitating repair of double-strand breaks, by non-homologous end-joining as well as homologous recombination, and repair of helix-distorting DNA damage by nucleotide excision repair. Here, we review current knowledge on SWI/SNF activity in the DDR and discuss the potential of exploiting DDR-related vulnerabilities due to SWI/SNF dysfunction for precision cancer therapy.