Understanding the dynamic behaviors of impacting droplet on superhydrophobic surface is very significant for the application of superhydrophobic surface in many industrial processes. In this study, oblique impact of a single droplet on superhydrophobic surface with randomly distributed rough structures was investigated by lattice Boltzmann method. The effects of the impact angle and Ohnesorge number of the droplet as well as the rough structures of solid surface on the droplet dynamics were investigated and analyzed. It was found that the process of droplet impacting on randomly distributed rough surface can be divided into three stages, including spreading stage, retracting stage and rebounding stage. The effects of rough structures on droplet dynamics is important, the increase of peaks on rough surface leads to the more consumed energy of droplet, which resulting in the decrease of bouncing ability. Further, with the increase of impact angle and Ohnesorge number, the retention coefficient of kinetic energy decrease due to the increased viscous dissipation. The results are useful for the design of functional superhydrophobic surface.