Fuel metering system for feeding fuel from a storage tank (2) to the cylinders (6) of a combustion engine (8), comprising a fuel supply unit (1) and a distributing device (4, 4', 4") which comprises a least one rotor driven depending on the rotational position of a crankshaft (16) or camshaft of the combustion engine (8), with the fuel supply unit supplying fuel from the storage tank (2) to the distributing device (4, 4', 4") and with the distributing device (4, 4', 4"), depending on the rotational position of the rotor, sequentially feeding fuel to the cylinders (6) of the combustion engine. The fuel supply unit (1) continuously supplies fuel to the distributing device (4, 4', 4"). The rotor (13) is driven continuously, with the angle of rotation of the rotor (13) being a continuous function of the angle of rotation of the crankshaft (16) or camshaft.