Abstract: A squeezing cycle with a relatively short first stage in which the fruit is loaded, and a longer second squeezing stage involving a relatively slow chamber volume reduction movement is disclosed. The machine possesses for the movable cup an operating mechanism including two wheels of equal diameter, of which the first wheel is fixed and the other wheel is driven and is engaged with the first wheel in such a manner as to roll along its pitch circle. The machine also includes a motor-driven member for gyrating the axis of the driven wheel by causing this to roll about the fixed wheel, and a crank mechanism connecting the driven wheel to the movable cup and having a crankpin which is carried by the driven wheel and has its center at a distance from the axis of the driven wheel which is less than or equal to the radius of the pitch circle of the driven wheel.