The research of social networks has been paid more and more attention by scholars. In this paper, through the features of the establishment of the relationship between people in real social networks, we have proposed two new structural features, which can be seen an extension of the concept of clustering coecient. In view of these structural features, we have also proposed a new network evolution model which is similar to the formation process of social networks. Our model can generate a variety of networks which are similar to real social networks by adjusting some parameters. The new network model and topology features will help us to better study the related issues of social networks.