With the increasing of the capacity of photovoltaic plant grid integration, the photovoltaic plant’s off-grid will have a more adverse influence on the grid under the grid disturbance or fault. The low voltage ride through (LVRT) capability is necessary for grid-connected photovoltaic plants. In this paper, the control system is improved based on the current deadbeat predictive control method. During low voltage of the system, the control means that increase reactive power to support the system voltage, use the current limiting control to prevent excessive current and put into shunt resistance to limit DC voltage are adopted to realize the LVRT of the photovoltaic plant. Then based on the photovoltaic system parameters of the State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources of China, the simulation model is founded. The simulation results show that the increase of grid current and DC voltage are effectively restricted and the system voltage is supported by the reactive power from the inverter, when the grid voltage drop occurs. The photovoltaic system can fast recover after fault clearing. The aim of LVRT is realized and the effectiveness of the control strategy is verified. It lays a foundation for dynamic model experiments in next step.