A distributor type fuel injection pump of the present invention is of the Lucas type having a rotor rotatably driven by an engine but not reciprocated. Spill ports of the same number as that of the cylinders of the engine communicating with a pump chamber are opened at an equal peripheral interval on the outer peripheral surface of the rotor, and a spill ring to cover the spill ports is slidably mounted on the outer peripheral surface of the rotor. A spill groove is formed to extend axially on the inner peripheral surface of this spill ring. One edge of the spill groove, which initially meets the respective spill ports during the pressurizing step for pressurizing the fuel in the pump chamber, is inclined to the axis, and the other edge of the spill groove is parallel to the axis.