A press for the mechanical dewatering of water-containing pulverised solid material is provided with a rotatable feed screw (3) which is so floatably mounted that it can perform a rotary pendular pivoting movement about a swivel point (D) lying in the area of the drive. Thereby, a high dewatering power is achieved with advantagous wear properties of the press. By special formation of the region where the solid material leaves the feed section (3), the effect and operating behavior can be further improved.