The dependence of the second harmonic generation (SHG) signal of an amorphous polymer system containing nonlinear optical (NLO) chromophores on the polarizing electric field is investigated. It is shown that under a weak poling field condition, the SHG intensity is proportional to E(p)2, provided that the polarizing electric field E(p) is greater than a threshold field E(s). Above E(s), the macroscopic polar orientational order is established. The lengthening of the relaxation time for polar orientational order with increasing E(p) is also observed. Theoretical analysis shows that the relaxation time is proportional to the polar order initially induced by the polarizing field. Experiments have been carried out to confirm the theoretical prediction.