The invention relates to a fruit-pressing machine with an automatic fruit (7) feeder and cutting and pressing means that have rotary assemblies of three cups for receiving fruit (7) and a cutting assembly (5) comprising a blade (10) and means for extracting the peel after the pressing, and pressing balls (6) below the assemblies of cups (4). The machine also comprises a tray (2) for collecting the juice, with a stationary filter (8), and means for collecting the peel. The assemblies of cups (4) rotate towards the inside of the machine, the machine comprising motor means which synchronise the continuous movement of the feeder (1) with the movement of the cutting and pressing means.