A reactor for low pressure catalytic reforming of gasolines with heating by smoke gases comprises: at least one device for introducing and removing the charge; at least one device for introducing and removing the catalyst; at least two elementary reaction cells spaced apart from each other are made of substantially vertical and parallelepipedic enclosures (an individual charge distributor, an individual processed charge collector, a catalytic bed); at least one general charge distributor; and at least one general processed charge collector.