Lightning protection system of wind turbine blades formed by various connections arranged on carbon fibre laminates (2) of the blade (1), equipotentialising the surface of the airfoils (4) of the beam (10) via derivations from a main cable (6) using the respective auxiliary cables (5). The auxiliary cables are connected to metal plates (3) which make the direct connection with the carbon fibre laminates (2) and are positioned during the blade (1) laminating and curing process, or they are connected to metal pins, preferably cone shaped, which pass through the hybrid laminate. Around the connections a nanocomposite based conductive resin (11) is arranged. In the case of a hybrid laminate with layers of carbon fibre and layers of fibre glass, the equipotential state of the different layers is achieved using windows, discontinuities or open spaces in the fibreglass layers.