An automatic machine for dispensing beverages has at least two rotatable cup dispensing towers having a plurality of housings for variously sized stacked cups. The housings may be rotated in a selective manner. Cups are dispensed from the housings. A cup holder device includes cup holders that receive the dispensed cups. The cup holder device is rotatable about a vertical axis that is parallel to the axes of rotation of the rotatable cup dispensing towers. The cup holder device is provided with at least two cup holders that move along concentric circular trajectories with respect to the vertical axis of the cup holder device.