This paper first focuses on the design elements and digital platforms of stone carving art and then discusses the dissemination of stone carving art on social media platforms. Secondly, a social media propagation dynamics modeling of stone sculpture art promotion is proposed, and the degree distribution of stone sculpture art promotion in the BA scale-free network is calculated by the social media network model and propagation evolution model. Finally, the kinetic analysis of social media on stone carving art promotion by different influencing factors and information dissemination stages is explored. The results show that when the user recognizes stone carving art as