Abstract: To solve the problems that the existing distributed control strategy of hybrid AC/DC microgrid does not fully consider the scenario of multiple parallel interlinking converters (ICs), the communication topology is complicated, and the controller is vulnerable to internal and external disturbances such as communication disturbance and operating condition changes, this paper proposes a distributed robust power control strategy for multiple parallel ICs based on sliding mode consistency. The distributed sliding mode controller is designed based on the expected dynamic characteristics and sliding modes of the system to ensure that the transmission power of multiple parallel ICs converges to the consistent target steady-state value in finite time and its stability under unknown disturbances and finite time convergence performance are proved through theoretical analysis. The proposed strategy reduces the sliding mode gain coefficient, suppresses the chattering phenomenon of sliding mode control, and achieves dynamic compensation for unknown disturbance so as to ensure coordinated control and high-precision distribution of transmission power of multiple parallel ICs. Simulation examples illustrate the feasibility and effectiveness of the proposed control strategy.