The maintenance of genome integrity is essential for organism survival and for the inheritance of traits to offspring. Genomic instability is caused by DNA damage, aberrant DNA replication or uncoordinated cell division, which can lead to chromosomal aberrations and gene mutations. Recently, chromatin regulators that shape the epigenetic landscape have emerged as potential gatekeepers and signalling coordinators for the maintenance of genome integrity. Here, we review chromatin functions during the two major pathways that control genome integrity: namely, repair of DNA damage and DNA replication. We also discuss recent evidence that suggests a novel role for chromatin-remodelling factors in chromosome segregation and in the prevention of aneuploidy.