This paper presents Clustering based on Near Neighbor Influence (CNNI), a new clustering algorithm which is inspired by the idea of near neighbor and the superposition principle of influence. In order to clearly describe this algorithm, it introduces some important concepts, such as near neighbor point set, near neighbor influence, and similarity measure. By simulated experiments of some artificial data sets and seven real data sets, we observe that this algorithm can often get good clustering quality when making proper value of some parameters. At last, it gives some research expectations to popularize this algorithm.