A poor ovarian response to ovarian stimulation is a factor that significantly reduces the effectiveness of in vitro fertilization programs. Managing these patients remains an unresolved issue in assisted reproductive technology programs. The difficulties are largely determined by the heterogeneity of groups of patients with a poor ovarian response and the need for a personalized approach to ovarian stimulation. This review covers the data from the global literature on the management tactics of patients with a poor ovarian response according to the POSEIDON classification, with the aim of increasing the quantity and quality of retrieved oocytes and clinical pregnancy rates.