Abstract: Commutation failure may cause the blocking of line commutated converter based high voltage direct current (LCC-HVDC) system, which seriously affects the safe and stable operation of the power system. The tight electrical coupling in multi-infeed LCC-HVDC systems and the control response cause multiple LCC-HVDC interactions, making the mechanism of commutation failure more complex. The existing suppression methods of subsequent commutation failure are mostly targeted at single LCC-HVDC, which cannot take into account the needs of the own commutation recovery and suppression of commutation failure of adjacent LCC-HVDC. Therefore, a suppression method for subsequent commutation failure adapted to multi-infeed LCC-HVDC systems is proposed in this paper. The response timing and conditions of the inverter station control system during the recovery of the first commutation failure of LCC-HVDC are analyzed, and the safety margin assessment method of the subsequent commutation failure considering the fault severity and the control impact of LCC-HVDC is proposed. The suppression method for subsequent commutation failure based on the voltage safety margin is further proposed, and the effectiveness of the proposed method is verified in the CIGRE HVDC standard system. The simulation results show that the proposed method can be adopted to effectively reduce the coupling effect of reactive power and voltage in multi-infeed LCC-HVDC systems, and to suppress the subsequent commutation failure of adjacent LCC-HVDC by adaptively adjusting the DC current according to the voltage of the converter bus.