The invention discloses and belongs to the technical field of a hybrid microgrid system, and provides an AC-DC hybrid microgrid system containing a plurality of DC sub-networks and a control method of the AC-DC hybrid microgrid system. In structure, effective integration of a photovoltaic power generation system, an energy storage system, an electromobile and an AC microsource is achieved, and the reliability and the stability of the interior of a microgrid are improved; and moreover, the plurality of DC sub-networks are connected with AC bus in a start shape by respective interconnection power converters to form a reasonable power supply layout with AC sub-networks. According to the control method, ESO current feedforward control based on an expansion state observer is performed on the condition that an extra hardware sensor is not needed, the stability of the system is simultaneously ensured, and the plug-and-play characteristic of a distributed microsource in the hybrid microgrid can also be met; the power flowing for equalization between each DC sub-microgrid and the AC microgrid is coordinated, and the continuous running of the whole system is maintained; in an island model, all important loads are all connected to the AC microgrid; and when an output power is insufficient, the important loads are enabled not to be powered off.