NOVELTY - Hydrogen generator system for a hydrogen powered unit, comprises an electrolyzer for the electrolysis of distilled water, producing hydrogen and oxygen. The system also comprises: a device (10) for recovering the heat generated by the electrolysis process associated to the electrolyzer (2), and/or a device for storing the hydrogen produced.    USE - The hydrogen generator system is used for a hydrogen powered unit, such as for example a hydrogen catalytic burner or a fuel cell (claimed).    ADVANTAGE - The hydrogen generator system is used for obtaining hydrogen catalytic burners and capable of providing hydrogen produced with sufficient degree of purity in a reliable and continuous manner as well as obtainable in an inexpensive manner and with an improved performance. The hydrogen generator system has simple structure. The hydrogen generator system allows attaining various important advantages obtained starting from the known production of hydrogen through electrolysis of distilled water and by using more rational formation criteria for the single blocks into which the proposed hydrogen generator system may be divided. The hydrogen generator lies in the exploitation of the heat that is developed inside the electrolyzer during the electrolysis process, such heat being advantageously useable as an integration of the pre-existent system for heating and/or producing domestic hot water. Reliable continuous supply of the produced hydrogen, even during possible interruptions of the electrolysis process, may be guaranteed in a further development of the base hydrogen generator. The hydrogen generator is a suitable purification of hydrogen using simple and inexpensive means. The hydrogen generator provides a choice, targeted design and dimensions of the single components required for obtaining the proposed hydrogen generator, hence the circuit may be advantageously assembled in a compact manner and accommodated in an installable casing inside or outside the house. Such casing is provided externally with inlet fittings and outlet fittings alone, thus further facilitating the connection of said casing, i.e. of the hydrogen generator, during the execution of the respective connections. Providing for a supply of electrical energy produced from renewable sources (solar, wind energy, biogas) alongside the presence of storage of hydrogen, allows obtaining an independent, continuous and inexpensive operation, where hydrogen may be produced substantially continuously when the renewable source is available and stored for its use when actually required. The hydrogen generator is capable of meeting the various characteristics to be taken into account depending on the function of the unit to be supplied with hydrogen, for example depending on the degree of purity of hydrogen, which is fundamental should one decide to supply the catalytic burner or any other unit, for example a fuel cell, or even the pressure or flow rate.    DETAILED DESCRIPTION - Hydrogen generator system for a hydrogen powered unit, such as for example a hydrogen catalytic burner or a fuel cell, comprises an electrolyzer for the electrolysis of distilled water, producing hydrogen and oxygen, containing, on the inlet side, an associated demineralizer device (5) and an associated A/C transformer/converter unit for supplying electrical power for the electrolysis process and, on the outlet side, a device for purifying the hydrogen produced with the subsequent exit of the hydrogen to be supplied to the hydrogen powered unit, as well as production of oxygen. The system also comprises: a device (10) for recovering the heat generated by the electrolysis process associated to the electrolyzer (2), and/or a device for storing the hydrogen produced, and in that the entire system (1) for generating hydrogen is accommodated in a casing (20), which has externally inlet connection fittings, for the water and electrical power supply systems for feeding the electrolyzer (2), and outlet fittings for the generated hydrogen and for delivery and return pipes of a heating system, for example that of a house, to be connected to the heat recovery device (10).    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of a hydrogen generator system.    System (1)    Electrolyzer (2)    Demineralizer device (5)    Tank (6)    Heat recovery device (10)    Casing (20)