The invention discloses a vehicle charging system of an electric automobile. The vehicle charging system comprises a power battery, a bidirectional inverter, and a monitoring device, the monitoring device is connected with the bidirectional inverter and the power battery, the bidirectional inverter comprises an inverter bridge, a sampling circuit, and an inversion controller, the sampling circuit samples voltages and currents of a direct current terminal and an alternating current terminal, the inversion controller outputs control signals according to the voltage and the current of the alternating current terminal and a control instruction sent by the monitoring device so that the inverter bridge is controlled, the bidirectional inverter works in a charging mode or an offline inversion mode, and the monitoring device obtains state information of the power battery and the voltages and the currents of the direct current terminal and the alternating current terminal, receives an instruction sent by a vehicle scheduling system, and sends the control instruction to the inversion controller according to the above information. According to the system, the basic function of charging up the power battery is provided, and the system can also supply power to the outside of the vehicle as a high-quality alternating current power supply. The invention also discloses a control method of the vehicle charging system of the electric automobile.