The cellular automata theory is a little weak, the research and analysis in evolution rules of cellular automata is a wide-concerned challenge. In this paper, the evolution model of Moore Parity Cellular Automata (MPCA) is proposed based on Parity Cellular Automata(PCA). Through a large number of computer's simulated experiments we make some analysis and comparisons on the evolution rules between the PCA and MPCA and also find these cellular evolution models have some rules of evolutional cycles and evolutional primitives during the evolution. A new way of research cellular automation evolution rules is provided. The proposed evolution model is further applied to designing pattern of maintained style designs. Enrich the method of generating pattern of rules texture.