The effects of small-world network topology on entanglement percolation are investigated. From both classical and quantum entanglement percolation, it is found that the reduction in the percolation threshold is strongly related to the decrease of the average distance. The percolation threshold and average distance follow a power law functional relation. Moreover, a phase transition occurs from a slow reduction in the sparse-connection regime to a rapid reduction in the dense-connection regime. These findings may be helpful for a better understanding the long-distance entanglement preparation in future small-world quantum networks.