A fuel injection pump for internal combustion engines, having a plurality of in-line pump elements in which the supply onset is effected by means of control slides, one of which is axially displaceable on each of the pump pistons and by controlling relief conduits of the pump work chambers. The control slides are actuated via a torque shaft in that via driver tangs which are secured to the torque shaft by fastening parts screwed to the torque shaft, the control slides are axially displaced upon rotation of the torque shaft. For adjusting the stroke or axial position of the individual control slides to one another, spacer means, in particular shims are provided between the fastening part and the torque shaft in the stroke direction of the control slides.