The cyber physical distribution system (CPDS) is designed to realize the interoperability and deep integration of physical and cyber systems, so that it can obtain better operating effects beyond the traditional distribution system. At the same time, it also brings potential negative impact on the reliability and security of distribution systems’ operation. Therefore, it is of great significance to study the vulnerability of the CPDS considering cyber-physical interactions. Considering the islanded operation of power grids, this paper analyzes the influence of network topology and coupling mode under different attack strategies on CPDS, and explores the strong robustness of the CPDS network topology based on the theory of interdependent networks. The simulation results show that: high-betweenness node attack is the most destructive to CPDS network model, and the CPDS with small-world characteristic cyber network has the strongest robustness. Different network coupling modes have different vulnerabilities to different attack modes. Compared with random coupling mode, assortative coupling mode has stronger robustness to random attack, but assortative coupling mode has worse robustness to target attack mode.