The present invention relates to nuclear technology and is intended for use in power-generating systems with a fast reactor cooled by a liquid-metal coolant which is primarily in the form of molten lead or an alloy thereof. The problem addressed by the invention consists in reducing the specific volume of lead coolant per unit of power of the reactor and in increasing the safety of the reactor. The system comprises a reactor cavity (1) with an upper cover (2), an arranged within the cavity (1) reactor having an active zone (4), steam generators (5), circulation pumps (7), circulation conduits (8) and (9), actuating mechanism systems and devices for starting up, operating and shutting down the reactor system, wherein the steam generators (5) are in the form of tubular heat exchangers in which the lead coolant (10) flows within the pipes, while the water-steam flows in a space between the pipes, the steam generators (5) are arranged in separate boxes (6) and communicate with the reactor cavity (1) by means of circulation conduits for raising (8) and discharging (9) the lead coolant (10), the steam generators (5) and most of the circulation conduits (8) and (9) are arranged higher than the level of the lead coolant (10) within the reactor cavity (1), and the circulation pumps (7) are arranged within the reactor cavity (1) on the circulation conduits (8) and (9) for raising the "hot" lead coolant, and a technical means (13) is provided for ensuring intrinsic circulation of the lead coolant (10) through the active zone (4) when the circulation pumps (7) are switched off.