PARP inhibitors (PARPIs) have revolutionized the treatment of epithelial ovarian cancer, first for BRCA-associated cancer, and, recently, for all epithelial cancers of serous or high-grade endometrioid subtypes in the front line. Although there is hope that PARPIs will help prevent recurrences when used following frontline maintenance, cancer will still recur in most women, and the need for active combination strategies as well as continued development of novel assets, either as monotherapy or in combination, will be urgently needed. This review article discusses the current indications for PARPIs in both frontline and recurrent settings, current research in combination approaches, and finally, ongoing research on novel methods to target DNA damage response in an effort to exploit the common susceptibility to DNA damage repair in epithelial ovarian cancer and improve outcomes for patients.