This paper proposes a STATCOM compensation scheme for suppressing commutation failure in HVDC. In this scheme, the neutral-point of CHB-STATCOM with star configuration which is connected to power grid is grounded. The scheme possesses three advantages. Firstly, it reserves high economy as CHB-STATCOM with star configuration. Secondly, three phases are independent of each other, which can be considered as three single-phase STATCOMs, leading to a simple and flexible control strategy and overcoming the control problem when CHB-STATCOM with star configuration operations under unbalance grid. Thirdly, it forms zero-sequence current channel by using of characteristic of HVDC, which is the neutral-point of the AC grid connected by HVDC is directly grounded, thus it can compensate not only harmonics, positive and negative-sequence reactive power, but also zero-sequence reactive power, resulting in excellent compensatory capacity. The feasibility of the proposed scheme in HVDC is analyzed in detail. Zero-sequence current is calculated in detail under unbalanced grid condition. The control strategy is given and the simulations based on PSCAD/EMTDC are carried out to illustrate the effectiveness to suppress communication failure in HVDC. This work is supported by National Natural Science Foundation of China (No. 51541708).