The invention relates to a process for catalytic reforming of a naphtha hydrocarbon feedstock using a number of reaction zones in series, wherein the reaction zones contain a reforming catalyst bed. The process comprises comprising the following stages: sending hydrocarbon feedstock that is heated with hydrogen through the reaction zones to convert paraffinic and naphthenic compounds into aromatic compounds, with the effluent that is produced by each reaction zone, except for the last reaction zone, being heated before its introduction into the following reaction zone; drawing off a reformate from the last reaction zone.