Abstract: A fuel pumping apparatus for supplying fuel to a compression ignition engine includes a high pressure pump to which fuel is supplied from the outlet of a low pressure pump of the vane type. The vanes of the pump are mounted in slots in the pump rotor and are spring biased outwardly. A cavity defined by the inner ends of the slots is connected by a spring loaded valve to the outlet when the output pressure is above a predetermined value and to a space in the housing of the apparatus through a valve when the output pressure is below said value. The space contains fuel which accumulates during the operation of the apparatus.