A method is provided for both dewatering and drying solid-liquid mixtures and a device is provided designed as a filter press drier for the application of the method. The filter press drier is equipped with a defined number of metal heating chamber filter plates (1) and/or membrane heating chamber filter plates (2) arranged next and/or in parallel to one another. The method includes feeding of the suspension, draining off the filtrate while retaining the solid components as a filter cake at the same time, heating of the filter cake, pressing of the filter cake formed during the dewatering, drying of the filter cake by evacuating the vapor space (4) and the interconnected pore volume in the filter cake, filling of the vapor space (4) and the interconnected pore volume in the filter cake with air or an inert gas to an excess pressure of up to 1 bar, where a resting phase is initiated in drying, and the filter cake is again heated, repeating the drying and filling steps until the intended degree of drying is reached, switching off the heating circuit and terminating the membrane pressing an removing the dried filter cake. A surprising increase in the rate of drying is achieved.