A method of dewatering material containing moisture by means of pressure and heat using a device comprising a) a system for the dosed delivery of the material, b) a transfer section, into which the material can be transferred from a transporting device or directly into a double-belt press, and c) a double-belt press with - a lower press section and an upper press section, - steel press belts (9a, 9b) circulating continuously in the direction of rotation in the lower press section and in the upper press section, - at least one heatable heating plate (8a, 8b) in both the upper press section and in the lower press section and - at least one actuator in the lower press section and/or the upper press section with which pressure is can be exerted on the material via at least one heating plate (8a, 8b) and one steel press belt (9a, 9b), characterised in that in a first heating section of the double-belt press in the direction of conveying, with pressures on the material of under 4 MPa and heating plate temperatures of above 160 °C, the material is heated to at least 130 °C and at least in a second dewatering section of the double-belt press, it is dewatered with pressures on the material of above 4 MPa. a) a system for the dosed delivery of the material, b) a transfer section, into which the material can be transferred from a transporting device or directly into a double-belt press, and c) a double-belt press with - a lower press section and an upper press section, - steel press belts (9a, 9b) circulating continuously in the direction of rotation in the lower press section and in the upper press section, - at least one heatable heating plate (8a, 8b) in both the upper press section and in the lower press section and - at least one actuator in the lower press section and/or the upper press section with which pressure is can be exerted on the material via at least one heating plate (8a, 8b) and one steel press belt (9a, 9b), characterised in that in a first heating section of the double-belt press in the direction of conveying, with pressures on the material of under 4 MPa and heating plate temperatures of above 160 °C, the material is heated to at least 130 °C and at least in a second dewatering section of the double-belt press, it is dewatered with pressures on the material of above 4 MPa. - a lower press section and an upper press section, - steel press belts (9a, 9b) circulating continuously in the direction of rotation in the lower press section and in the upper press section, - at least one heatable heating plate (8a, 8b) in both the upper press section and in the lower press section and - at least one actuator in the lower press section and/or the upper press section with which pressure is can be exerted on the material via at least one heating plate (8a, 8b) and one steel press belt (9a, 9b), characterised in that in a first heating section of the double-belt press in the direction of conveying, with pressures on the material of under 4 MPa and heating plate temperatures of above 160 °C, the material is heated to at least 130 °C and at least in a second dewatering section of the double-belt press, it is dewatered with pressures on the material of above 4 MPa.