To combat the multiple uncertainties of AC/DC hybrid microgrid, the paper presents a two-stage optimal dispatch strategy for AC/DC hybrid microgrid. The strategy is divided into two stages: day-ahead economic dispatch and intraday rolling optimal dispatch. The objective of day ahead stage is to minimize the daily operation cost, which takes into account the operation characteristics of microgrid components and time-of-use electricity price. The intraday rolling optimal dispatch model is carried out based on model predictive control (MPC). Combining the rolling optimization with feedback compensation, the closed-loop optimization is developed. Depending on that, the model can effectively suppress the intraday power fluctuations and avoid affecting the main grid operation. According to the simulation results, the proposed strategy can effectively realize the economic and autonomous operation of AC/DC hybrid microgrid.