Fruit-squeezing machine with automatic fruit (7) feeder (1) and cutting and squeezing means that have a pair of rotating assemblies of three fruit (7) receiving cups (4) and a cutting assembly (5) with a blade (10) and means for extracting the rinds after squeezing the fruit, and a pair of squeezing balls (6) below the cup assemblies (4). Additionally, the machine has a juice-collecting tray (2) with a fixed? filter (8), and rind-collecting means. The cup assemblies (4) rotate towards the inside of the machine, which has motor means that synchronize the continuous movements of the feeder (1) with the movement of the cutting and squeezing means.