The effect of zero-point lattice vibration on the CDW of MX Complex is investigated in a wide range of electron-phonon coupling by using a self-consistent renormalization method. In contrast to the polyacetylene, where the bond order wave exists well in arbitrary coupling, the effect of the quantum fluctuation on CDW of MX solid distinctly depends on the coupling. When the coupling is strong, the reduction of CDW is small;But, if the coupling is weak, the CDW is seriously suppressed and even nearly destroyed. This contrast is related to the fact that for weak coupling, the frequencies of both the acoustic and optical branches are small in polyacetylene, but these frequencies are not well different from the bare value ω0 in MX solid.