The objective of this paper is to systemically introduce the lattice Boltzmann method from its mathematic and physical bases, and to investigate broadly its application in every field. The lattice Boltzmann method based on the idea of cellular automaton was proposed by John von Neumann in the 1960's. The cellular automaton simulates the parallelizable character of the brain and constructs the dynamic evolvement system. That starts a new direction to solve the complex problems. When it is used to solve the flow problem, it combines with the molecule kinetic theory of nineteenth century to solve Boltzmann transport equation. It means to study the flow by simulating the molecules movement in the flow. So it is also called lattice Boltzmann method, or lattice gas automaton. From investigation, it can be seen that the application fields are very broad. For example, it is used to simulate the crystal agglomeration, the evolvement of city land use, the traffic flow, the seismic wave, the spread of fire in the forest, the prevalence of virus and the spread of public opinion. By this method, good results are obtained. In the 1970's, Hardy, Pomeau and Pazzis built the first lattice gas automaton to simulate flow. Then, because it can explain flow from microcosmic level, it is very suitable to solve complex flow such as multiphase flow, porous flow and snow grain transport in the wind. Moreover,PowerFlow  the commercial software was developed based on the lattice Boltzmann method. For turbulence, which is the old problem—turbulence, many methods are used and LBM now gradually becomes a new way to directly simulate it because it can calculate in the molecule level. The atmospheric turbulence is more complex then usual turbulence. Here, we especially introduce the atmospheric turbulence character and give an elementary project to simulate by LBM.