This study relates to the design of a hydrogen generating station by water vapour electrolysis at high temperatures (700-1000 degrees C) whose energy resources are solar. The electricity supply is done by photovoltaic cells and the water vapour is ensured by a solar concentrating power station. The numerical simulation of the hydrogen production for the installation proposed is made while being based on the characteristic equations governing the electrolysis of water, the photovoltaic panels and the solar concentrating power station. The hydrogen production rate is given for various values of the solar radiation and several sites of Algeria. The results obtained by the established computer code, and of which the required goal is the determination of the most favourable conditions for a better production of hydrogen, are presented and discussed.