An apparatus for continuous dehydration of sludge wherein, prior to dehydration, water is mechanically removed from the sludge, and the thus obtained sludge of cutting consistency is mixed with heated spheres, comprising a first tube (2) with a screw conveyor (3) and a shaft (4) for intimately mixing and transporting sludge and heated spheres, and a second tube (5) with screw conveyor (6) with shaft (7) for the transport of spheres (8) to be heated, which tubes are interconnected by means of at least one pipe (15), a separation device (9) for separation of the spheres from the dehydrated sludge, a sludge outlet (12), a sludge inlet (10), a water removal belt (11) for the spheres (8), a discharge (13) for the spheres, and an inlet (14) for the spheres to the first tube (2).