Abstract: The invention relates to a conical screw press for compressing and for removing liquid from bulk material, comprising a screw with a screw thread and a core in a housing, structure for rotating the screw in the housing, an inlet opening for the bulk material from which liquid is to be removed, an outlet opening for the bulk material from which liquid has been removed, and at least one outlet opening for the liquid which has been extracted. The characteristic features of the invention are that: a) the screw is dimensioned, for at least the greater portion of the length of the screw between the inlet opening for bulk material and the outlet opening for bulk material, such that the external diameter (D) of the screw thread and the diameter (d) of the screw core change axially in the screw press from a first axial position, where the external diameter of the screw thread=D.sub.1 and the diameter of the screw core=d.sub.