Recently, the high frequency resonance problems of modular multilevel converter based high voltage direct current (MMC-HVDC) take place frequently, which have seriously threatened the stability of power systems. As the actual system network topology and operation modes change frequently, the high frequency resonance characteristics with the high frequency bandwidth of MMC-HVDC are complex, which bring challenges to the suppression of the high frequency resonance of MMC-HVDC. In order to improve performance of the suppression strategy of high frequency resonance in the case of multiple operating modes, firstly, the impedance characteristics of the system are established. Then the defects of different suppression strategies are analyzed. Based on the above research, a high frequency resonance suppression strategy based on an adaptive band-stop filter is proposed in this paper. By adjusting the number and parameters of additional band-stop filters, the strategy effectively solves the variable problem of high frequency resonance under different operation modes of AC power system and has strong adaptability. Finally, the effectiveness of the proposed suppression strategy is verified through PSCAD electromagnetic transient simulations.