A coffee grinding machine (1) comprising a first burr (3) and a second burr (4) is described, wherein at least one of the first burr and the second burr is rotatable about an axis of rotation (Y-Y), wherein said burrs are mutually cooperating to grind coffee, wherein said machine comprises a motor which rotates at least one of the burrs with respect to the other, wherein the axis of rotation (X-X) of the said motor does not coincide with the axis of rotation of the burrs so that the coffee which is ground by the grinders is directed to an output of a conveyor cone (5) for use thereof.