Fruit and vegetable transport system for harvesting machine and harvesting machine that comprises a plurality of carrier units (2) for depositing a piece of fruit or vegetable in each one, said system (1) including means (8,9) for dragging said plurality of carrier units (2), said dragging means (8,9) determining a conveyor circuit that includes at least one section (6) for unloading said units (2) into a container, and at least one section (5) for loading the same units (2), once the fruit or vegetable has been deposited inside said container, wherein said dragging means comprise a chain (8) of links provided with means (9) for integrally joining said carrier units to said chain (8), each link (8a, 8b), of said chain (8) including the axis (13, 14) for a swivel joint with the adjacent links (8a, 8b), the axis (13, 14) of two adjacent link (8a, 8b) of said chain (8) determining a substantially right angle which allows the relative rotation of said links (8a, 8b) to guide said fruit or vegetable carrier units (2) in a predetermined place of the circuit. The machine (4) comprises a frame (3) provided with self-propulsion and travel means and the claimed transport system (1).