  In this paper, we study the uniformly strong convergence of K\"ahler-Ricci
flow on a Fano manifold with varied initial metrics and smooth deformation
complex structures. As an application, we prove the uniqueness of
K\"ahler-Ricci solitons in sense of diffeomorphism orbits. The result
generalizes Tian-Zhu's theorem for the uniqueness of of K\"ahler-Ricci solitons
on a compact complex manifold, and it is also a generalization of Chen-Sun's
result of for the uniqueness of of K\"ahler-Einstein metric orbits.
