When a single-phase-to-ground fault occurs on the valve-side of the converter transformer in the line- commutated converter high-voltage direct current system, then because of the forward-bias characteristics of converter valves, the valve-side fault currents contain large DC components. These flow into the converter transformer, resulting in the saturation of the converter transformer and fault-induced inrush current (FIIC). The FIIC, different from the traditional inrush currents, is induced by the valve-side grounding fault and affected by DC control and the protection system. Considering their influence, the generation mechanism and characteristics of FIIC on the inverter side are analyzed, and the influence of FIIC on converter differential protection is analyzed. Given the problem that the FIIC may lead to the mal-block of differential protection when the single-phase grounding fault occurs in the case of an internal fault, a protection strategy based on phase selection and triggering the bypass-pairs is proposed to actively suppress the FIIC and fundamentally avoid the mal-block of differential protection. Finally, simulation experiments based on PSCAD/EMTDC have been conducted to verify the effectiveness of the proposed strategy. This work is supported by the Natural Science Foundation of Ningxia Hui Autonomous Region (No. 2021AAC03497).