The system comprises three electrically insulated through conductors embedded in a cable (1) equipped with connection points connected to distribution box (10) that is fixed at a fixed distance in which the connection point is exposed to conductors, for transmission of three phase current. A rail (100) fitted in the glasshouse supports the cable. The distribution box comprises multiple contact elements for electrical connection between conductors of cable and feeder cable (20), so as to supply electrical energy to assimilation lamp in glasshouse. An independent claim is included for method of fitting electrical energy supplying system with glasshouse.