AC/DC hybrid micro-grid can flexibly accept new energy power generation equipment and AC/DC loads. In order to achieve system frequency and voltage stability, and make full use of the inertia of energy storage, wind turbines, etc. to enhance the anti-disturbance capability of the system. With the flexibility of power control in the AC/DC hybrid micro-grid, both sides of the AC and DC can achieve mutual support of power. In this paper, a virtual inertial joint control technique for AC and DC is proposed in combination with VSG control and virtual capacitor control. Simulation experiments show that the proposed method can effectively improve AC/DC side damping and reduce voltage, frequency and power oscillation recovery time under given system parameters.