Abstract: A worm press, especially for pressing vegetable matter, e.g. in the pressing of oil from oil-bearing seeds and fruits, comprises a worm having a plurality of worm sections and a housing within which the worm rotates and which is formed with rings defining axially spaced constrictions for the pressed mass between the worm sections. The worm has annular frustoconical shoulders juxtaposed with frustoconical flanks of the respective rings so that the flanks of each ring and shoulder define a respective constriction which is of a width adjustable by relative axial displacement of the worm and the housing, the rings being fixed in the housing and the shoulders being fixed on the worm.