In this talk, we discuss self-similar solutions to curvature flows, which play an important role in the study of the asymptotic behaviors of mean curvature flow and flow by powers of the Gauss curvature. We will present some recent results on the uniqueness of self-similar solutions to a large family of fully nonlinear curvature flows by high powers of curvature. This is joint work with Dr. Shanze Gao and Prof. Haizhong Li.