±800 kV Kunliulong multi-terminal HVDC project consists of three converter stations, namely Kunbei, Liuzhou and Longmen. Kunbei station is the sending end LCC converter station; Liuzhou and Longmen station both are MCC-VSC converter stations usually operating as receiving ends. Kunliulong HVDC project adopts 8 000 MW large capacity transmission design, and would significantly impact the stability of the sending end and the receiving end systems when the project is put into operation. At the same time, the flexible inter-pole and inter-station power transfer during three terminal HVDC faults may further complicate the stability control design. This work collates the action sequences of multi-terminal HVDC line fault recovery, station online de-paralleling and stability control process, analyzes the system stability variation due to the power unbalance during DC fault and recovery, and proposes a control measure for different AC and DC faults of each converter stations. At last, based on the annual operation planning data of China Southern Power Grid, different types of faults are simulated to verify the stability control strategy of Kunliulong multi-terminal HVDC system, which provides the technical basis and design reference for the stability control strategy of multi-terminal HVDC stability control system construction.