When the traditional Virtual Synchronous Generator (VSG) control strategy is adopted for a bus interlinking converter of an AC/DC hybrid microgrid, there is a contradiction between the overshoot of bus frequency and the transient process time. In addition the transmission power transient process is in overshoot state for a long time. Thus an adaptive VSG control strategy for AC/DC hybrid microgrid bus interlinking parameters is proposed. This control strategy can reduce the overshoot of the transmission power of the interlinking converter and the bus frequency. It can optimize the dynamic adjustment capability of the system, thereby shortening the transient process. A mathematical model conforming to the VSG of the bus interlinking converter is established, and a parameter adaptive VSG control strategy is derived on the basis of the VSG mathematical model. Through simulation, the control effect of traditional VSG control strategy and parameter adaptive VSG control strategy is compared, and the practicability and availability of the proposed control strategy is verified. This work is supported by the National Natural Science Foundation of China (No. 51607031) and Jilin Science and Technology Innovation Development Project (No. 20190104138).