This article is based upon the ories of chaos, fractal and soliton of nonlinear science, the recent years progress of application research of non-linear science in meteorology is reviewed in a point of cross discipline. Some important synoptic and climate problems, such as large-scale circulation catastrophe, multi-equilibrium states, nonlinear waves and wave-current interaction, blocking high and solitary wave, air-sea interaction, mid-small scale weather, chaos and predictability of atmospheric motion, the treatment and application of time series data and so on, are contained and discussed. Some new thoughts, new theories and new methods of nonlinear atmospheric science and the solved practical weather problems as well as the condition of application are emphatically introduced. Many important discoveries and new developments of present-day nonlinear meteorology research are summed up. Some new questions and difficulties are pointed out, the future prospect and outlook of nonlinear meteorology are also presented in this paper.