Real-time modeling and rendering of natural phenomena has been a hotspot and one of the most difficult tasks in Compute Graphics. It has been found wide application in many domains such as computer animation, landscaping, architecture, special effects of movie, computer games, battlefield simulation and virtual reality, etc. However, there is no an uniform method to render the nuture phenomena include trees, flows, grasses, clouds, snow, rain, fog, fire, etc. Recently for the simulation of natural phenomena, people more focus on the dynamic modeling and rendering based on the physics reality, and the whole results considering the interactive effects between the nature phenomena and the environment. So the physically based modeling must be applied to attain more realistic results on both shapes and movements, on the other hand, the simplification and acceleration techniques also should be introduced to realistic render the dynamic and whole effects of natural phenomena more quickly. It aims to seek for a tradeoff between the realistic effects and real time performance, to meet the needs from various applications.This paper introduces the research significance and difficulties of the simulation of nature phenomena in Chapter 1, then surveys these methods used in the simulation of natural phenomena, and analyses their advantage and applied limition. We point out that the physically based realistic dynamic rendering of natural phenomena will be the main developing trend in this field recently. In this paper, we focus on the realistic rendering of several typical natural phenomena, include: realistic rendering of sky scene considering atmospheric refaction, real-time simulation of wind-driven snowing scene, dynamic modeling and rendering of grass wagging in wind, real-time rendering of dynamic mirage scene, Real-time modeling and rendering of dynamic raining scene.In Chapter 2 of this paper, a new sky illumination model considering