<p>A fuel injection pumping apparatus of the rotary distributor type has a fixed stroke pumping plunger 14 housed in a bore 13 formed in a rotary distributor member. The pumping plunger is actuated by cam lobes formed on a cam ring 18. A piston 43 housed in a cylinder 44 is provided and one end of the cylinder is connected to the bore 13. The piston is spring biased towards the one end of the cylinder and the extent of movement of the piston away from the one end of the cylinder is limited by a stop 53. The piston 43 absorbs the initial volume of fuel delivered by the pumping plunger as the latter is moved inwardly by the cam lobes thereby ensuring that fuel is delivered to an associated engine at a high rate. <IMAGE></p>