Partial discharge occur primarily in cable ducts. As such, they are one of the main problems due to which the insulation on the insulated conductors of power lines fails. Thus, the consequences of these discharges occur, which negatively affect other cable elements, which include couplings and cable connections. Thus, failures are triggered by partial discharges that require professional processing by staff and a lot of time to detect where partial discharges occur that are determined by measurement methods. The aim of this final paper is to present models of partial discharges, ways of their occurrence and ways of measuring partial discharges. The purpose of this paper is to point out the complexity of measurement methods of partial discharges and the difficulty of detecting them using measurements, in order to eliminate them as well as possible. Partial discharges and the method of their measurement are treated with this topic, although the availability of literature for dealing with this issue is very scarce. Therefore, this measurement needs to be primarily perfected in practice so that it can generate the emergence of newer academic research on this topic.