An approach based on purturbation theory is proposed to renormalize g-
boson effects for sdgIBM system, which modifies that presented earlier
by Druce et al. The weak coupling condition as the usage premise of t
he two approaches is proved to be satisfied. Two renomalization spectr
a are calculated for comparison and analyses. Results show that the g-
boson effects are renormalized more completely by the approah proposed
in this paper.