A general pumping injection (PI), which involves the use of two capillaries with different diameters, was taken to evaluate systematically the effects on eliminating sample bias associated with the electrokinetic injection process in CE. One end of the separation capillary of the smaller diameter was inserted into another pumping capillary of larger diameter. When a high voltage was applied to the pumping capillary, the EOF generated inside will act as a pump to drive the solution stream in the separation capillary. The results have demonstrated that PI is suitable for both normal and reverse EOF situations. Second, the bias degree (BD) and SD of bias we presented were used to evaluate the degree of the bias under different conditions, and the factors of bias elimination have been investigated. Under optimal conditions, the bias was satisfactorily eliminated by PI. This EOF pumping system was successfully applied to the analysis of samples in CEC for a bias-free injection. Moreover, this two-capillary pumping system did not significantly affect the EOF, current, and the column efficiency of the separation process. Finally, a PI with grounded electrode was proposed and shown to be suitable for samples with low conductivity and ions with different mobility.