An electrical governor for a fuel injection pump with a spill ring comprises an acceleration pedal operating amount (PA) detector, an engine rotational speed (N) detector, a spill ring displacement detector, a maximum limit injection amount pattern memory for storing the relation between the engine rotational speed (N) and the maximum smoke concentration generating injection amount (Qmax), a partial load injection amount pattern memory for storing the relation between the rotational speed (N) and the partial load injection amount (Qpar) corresponding to the acceleration pedal operating amount (PA) with the acceleration pedal operating amount (PA) as a parameter, a minimum limit injection amount pattern memory for storing the relation between the rotational speed (N) and the minimum limit injection amount (Qmin), a target position pattern memory for storing the relation between the target injection amount (Qf) and the spill ring displacement target position (V.sub.SN), microcomputer means for reading out the values Qmin, Qpar and Qmax for the detected values PA and N and calculating the values Qf' and V.sub.SN ' corresponding to the detected values PA and N by interpolation, and actuator drive means for correcting the spill ring displacement in accordance with the calculated target position V.sub.SN ', thereby correcting the change in the fuel injection amount caused by the change in rotational speed. The governor alternatively includes a target position pattern memory for storing the relation between the values PA, N and V.sub.SN for a corresponding value Qf.