Abstract: A method and device for the drying of sludges, wherein the drying method includes a stage for raising a sealed enclosure to a set pressure, at least by the injection of saturating water vapour, and for holding this pressure for a given length of time; a stage for loading the sludges into a tank that is distanced from the walls of the enclosure, with loading means that guarantee maintenance of the pressure; a stage for the injection of superheated steam into the sludge by means of a mixer in action close to the wall of the tank that is most distant in relation to the source of the microwaves, including injection means; a stage for heating to the centre of the sludge by the emission of microwaves at frequencies of between 400 and 2450 MHz in the direction of the tank, this stage being executed while mixing the sludge; a stage for removal of the water collected by condensation and run-off on the walls of the enclosure toward the bottom of the enclosure, by means of a valve leading to the outside.