The effect of inhibitor particles on normal grain growth is investigated. Migration of quadruple junction points, instead of entire boundary area, should be dominant during grain growth process according to experimental observations of Fe–3%Si alloys and corresponding regression calculations. However, the evolution of Zener drag induced by inhibitor particles is different from evolution of driving force for grain growth during annealing, and needs to be treated independently in kinetic equation of parabolic growth. An analytic equation is therefore managed to be obtained, of which the predictions agree with experimental observations while certain ambiguity in conventional equations is avoided. The new kinetic equation describes that inhibitor particles can drastically reduce but cannot completely suppress grain growth process which can only practically be inhibited when the average grains size has become large enough. This inhibition effect is not predicted by conventional kinetic equations.