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Quality of product design is formed in the process of product design. Quality problem of product design is found and solved through analysis fault reason. In the paper, Based on structure tree of product and fault tree, with combination of Node Knowledge Representation method (NKR) and Gray Analysis method (GRA), fault probability analysis model is established for product design, then the relation and importance of fault are analyzed, and computational method of sequence sets of fault probability of parts is proposed based on data mining, which is the basis of ensuring and improving quality of product design. Finally, an instance of automobile engine is analyzed.