At present, the knowledge of cultural relics in cultural creative design is fragmented and fragmented, and lacks the support of a unified system. In this paper, firstly, with the help of a topological model to characterize the creative process of image thinking, effective reasoning is carried out on the objects, things and relations of cultural and creative products according to the expansion analysis of primitives. Then, a conceptual network of art design for cultural and creative products is constructed based on semantic association, and an identification model of art design elements for cultural and creative products is built based on quantitative theory. Finally, through the experiment of art design for cultural and creative products, the perception of cultural and creative products was analyzed in multiple dimensions. The results show that the maximum factor influencing the value of art design of cultural and creative products is 0.951, among which the cultural characteristics have a strong correlation with the color characteristics of 0.642, and the functional characteristics have a strong correlation with the cultural characteristics of 0.837. The results of this paper provide new ideas and methods for the development and maturation of artistic design of cultural and creative products.