The invention provides a method for the catalytic low pressure reforming of gasolines, in the presence of hydrogen, in a reaction zone defined by a substantially cylindrical enclosure. The reaction contains a catalyst bed which has the form of a ring defined by two coaxial cylindrical walls, in which a plurality of hollow internal spaces defined by walls are entirely disposed. A heat-carrying fluid flows through the hollow internal spaces. The gasoline pass through the catalyst bed substantially perpendicularly to the longitudinal axis of the reaction zone.