The maintenance of genome integrity by DNA damage response machineries is key to protect cells against pathological development. In cell nuclei, these genome maintenance machineries operate in the context of chromatin, where the DNA wraps around histone proteins. Here, we review recent findings illustrating how the chromatin substrate modulates genome maintenance mechanisms, focusing on the regulatory role of histone variants and post-translational modifications. In particular, we discuss how the pre-existing chromatin landscape impacts DNA damage formation and guides DNA repair pathway choice, and how DNA damage-induced chromatin alterations control DNA damage signaling and repair, and DNA damage segregation through cell divisions. We also highlight that pathological alterations of histone proteins may trigger genome instability by impairing chromosome segregation and DNA repair, thus defining new oncogenic mechanisms and opening up therapeutic options.