The method of multiple inverters paralleled is presented to meet the need of large current and fast control for the plasma vertical displacement power supply in the experimental advanced superconducting Tokamak. The current sharing control strategy based on gray prediction model in voltage mode is proposed to overcome the inconsistent output current of each branch, which caused by the different parameters of each branch. Current rising rate of each branch of next time can be predicted by this model and adjust PWM duty cycle dynamically in real time, thus current sharing control in voltage mode is achieved. Simulation and experimental results show that the current sharing control strategy based on gray prediction model can get relatively consistent output current of each branch, and the feasibility and the effectiveness of this strategy in EAST fast control power supply are verified.