Abstract: The invention relates to a fuel injection pump for internal-combustion engines having element pistons that are arranged in the pump housing and are guided in element sleeves in a longitudinally slidable way, each of said element pistons having a collar with flattened areas that in a torsionally fixed but axially slidable way is guided in a control sleeve that is connected with the control rod of the fuel injection pump and is disposed on the element sleeve so that it can be turned. In order to eliminate the play between the control sleeve and the element piston, a spring is provided between the collar of the element piston and the control sleeve that rests flexibly against it, or the control sleeve is designed to be slotted in such a way that it elastically reaches around the element piston.