System for dispensing products comprising a hopper for each product i to be dispensed, a plurality of dispensers of product i, a distribution network that connects said dispensers to the corresponding hopper, and an automatic calibration sub-system, the latter system in turn comprising calibration means that take and dispense an amount of product i, a control unit for said calibration means, data processing means, and a communications network that transmits information between the control unit of the calibration means and the data processing means. A method is also provided for dispensing an amount of product I by a dispenser of said dispensing system.