Based on the theory developed in the first paper of this series, we have discussed the influences of the fluctuation waves on the critical behavior of a non-linear chemical reaction system. For this purpose, the usual bifurcation theory has been further developed and some divergence problems has been eliminated by renormalization.Taking the trimolecular model as the concrete object, the stability of the homogeneous steady state has been analysed in detail, and, in addition, we also discussed the possibility that the space structure of the density and fluctuation for a simpler case could appear.