The width of charge balance function in high energy hadron-hadron and relativistic heavy-ion collisions are studied using the Monte Carlo generators PYTHIA and AMPT, respectively. The narrowing of balance function as the increase of multiplicity is found in both cases. The mean parton-freeze-out time of a heavy-ion collision event is used as the characteristic hadronization time for the event. It turns out that for a fixed multiplicity interval the width of balance function is consistent with being independent of hadronization time. The relativistic heavy-ion collision experiments at CERN-SPS and especially at the relativistic heavy-ion collider RHIC in Brookhaven National Lab provide clear evidence for the production of a dense matter in the collision processes [1]. The central question is whether this matter is purely hadronic or has been going through a quark-parton phase. There exist experimental evidences in favor of the existence of a quark-parton phase at the early stage of collision processes [2], but in view of the importance of this issue, further confirmation is needed.Recently, the rapidity correlation between oppositely charged particles, which has been used in e + e − [3] and hadronhadron collisions [4] to study the hadronization in these processes, is proposed [5] as a measure of the hadronization time in relativistic heavy-ion collisions. It is argued that if the system produced in heavy-ion collisions has undergone a quark-parton phase, the hadronization will occur at a later time and, therefore, the temperature will be lower and the diffusive interaction with other particles will be lesser than those in the direct hadronization without going through a quark-parton phase. These will result in a narrower charge balance function for a system with quark-parton phase than that without such a phase.Two heavy-ion experiments [6,7] have measured the balance function at various centralities and for different colliding nuclei. A narrowing of the balance function is indeed observed with increasing centrality of the collision and with increasing size of the colliding nuclei. These observations are consistent with the assumption that the narrowing of balance function is correlated with late hadronization.However, recently it is reported [8] that in hadron-hadron collisions at √ s = 22 GeV the balance function also becomes narrower as the increasing of multiplicity. Therefore, whether the observed narrowing of balance function in relativistic heavy-ion collisions is due to late hadronization or is simply due to the multiplicity effect is an open question.In this letter this question is examined using the Monte Carlo generators PYTHIA [9] and AMPT [10]. The former is a standard Monte Carlo generator with string fragmentation as hadronization scheme. There is no quark-parton phase in this * Electronic address: liuls@iopp.ccnu.edu.cn model and the hadronization is almost instantaneous. However, the latter is a "multiphase" model, with a transport of quarkparton before hadronization.The results from PYTHIA will ...