The invention is based on a fuel injection pump for internal combustion engines having a cam drive effecting the supply movement of at least one pump piston, the cam drive having a relatively rotatable portion supported in a pump housing for adjustment of injection onset, an adjuster piston cooperating with the cam drive and subjected to the rpm-dependent pressure of a supply pump counter to the force of two restoring springs. In known fuel injection pumps of this kind, either both restoring springs function simultaneously over the entire rpm range, or the action of one spring is added to that of the other once the adjusting piston has traveled a certain portion of its stroke. In the first case, the selection of different characteristic curves for the springs results in an overall characteristic curve which flattens out in the upper rpm range; however, there are limits to this flattening. In the second case, postponing the functioning of the second spring results in a clearly defined break in the characteristic curve, although with the disadvantage that the only control sequences which are possible are those where initially, at low rpm (that is, until the second spring comes into engagement), relatively large relative rotations per change in the rpm are possible and subsequently only smaller relative rotations per rpm chamber. However, in many internal combustion engines it is necessary for the course of the characteristic curve for injection onset to be reversed; that is, the injection onset, beyond a specific rpm, should adjust more rapidly toward "early" per rpm change with increasing rpm than is desired in the same engine at lower rpm. The instant of injection onset has an increasingly important role, given increasingly stringent demands for smoothness of engine operation and for the nontoxicity of exhaust gases.