A press for citrus fruits has a press head, which executes a press stroke and includes two accommodating dies, each for one fruit half. The dies are arranged on either side of a blade and are pivoted in opposite directions via parallel shafts between an upper accommodating position and a lower pressing position. Rams are assigned to the press head and interact with the dies in the lower pressing position A discharging device for discharging the skins of the pressed fruit halves. Includes a comb whose fingers engage in grooves of the rams. The grooves are oriented in the direction of the parallel shafts. The comb is displaceable between a lower starting position, with fingers lowered in the grooves, and a discharging position, with fingers raised above the rams and sloping down toward the shafts to a discharging opening.