As a fundamental problem in the field of the network science, the study of topological evolu-tion model is of great significance for revealing the in-herent dynamics and mechanisms of complex network evolution. In order to study the infl uence of different scales of preferential attachment on topological evolu-tion, a topological evolution model based on the attrac-tion of the motif vertex is proposed. From the perspec-tive of network motif, this model proposes the concept of attraction of the motif vertex based on the degree of the motif, quantifies the infl uence of local structure on the node preferential attachment, and performs the preferential selection of the new link based on the Lo-cal World model. The simulation experiments show that the model has the small world characteristic ap-parently, and the clustering coefficient varies with the scale of the local world. The degree distribution of the model changes from power-law distribution to ex-ponential distribution with the change of parameters. In some cases, the piecewise power-law distribution is presented. In addition, the proposed model can present a network with different matching patterns as the pa-rameters change.