An epyciclic transmission has a sun gear rotational about a transmission axis, a plurality of planet wheels meshing with the sun gear, and a carrier which supports the planet wheels and is rotational about the transmission axis; the transmission also has a lubricating system provided with at least one nozzle arranged in fixed position, with a collection channel fixed with respect to the carrier and configured to receive a jet of oil exiting from the nozzle, and with at least one pump having a casing fixed to the carrier; the pump is actuated by means of a transmission device in response to the rotation of the carrier to pump the oil from the collection channel to zones on the carrier which require lubrication.