The invention discloses a virtual synchronous generator control method and system of a matrix converter, and particularly belongs to the field of matrix converter control. The system comprises an alternating current source type power supply, an input filter, a matrix converter, an output filter, an alternating current bus, a virtual synchronous generator controller, an expected output current generator and a matrix converter controller. The control method is suitable for an alternating current source type micro-source and an energy storage system which adopt a matrix converter for grid connection, the matrix converter is used for connecting an alternating current source type power supply and a power grid, and energy provided by the alternating current source type power supply is used for implementing a virtual synchronous generator control strategy of the matrix converter. According to the method, a virtual synchronous generator control strategy is established by using a synchronous generator model; and the hysteresis controller is used for controlling the matrix converter, so that the grid-connected matrix converter can simulate droop characteristics of active power-frequency andreactive power-voltage of the synchronous generator, the grid-connected matrix converter has certain inertia and damping, and the stability of the system can be improved.