Olives and similar fruit are processed in this plant. It has, in series: cleaning, size reduction, a mill, a mixer, at least one oil extractor and/or de-watering stage for pulp (5) removed from the mixer (4). The oil extractor is a continuously working band press, pref. a sieve band press (25). This is preceded by a decanting centrifuge (31), for the partial extraction of oil and water, which is elevated above the band press, discharging pulp to its inlet. A further decanting centrifuge (41) may follow the band press, as a final oil extraction state. Following this, a dish centrifuge polishes the residual oil (43) removed by the decanting centrifuge (41). In addition to the above plant, the method of use, is also claimed.