The conventional proportional-integral (PI) control can not achieve therapid and precise control of the grid-connected current because of its steady-state error. The introduction of grid inductor also has a non-negligible impact to damping strategy of the LCL filter when the PV system connects into the grid. To overcome the problems mentioned above, this paper presents a hybrid damping control strategy for single-phase grid-connected PV inverter with the control of PDFI. This strategy introduces proportional delay feedback integral (PDFI) control which adds a simple feedback circuit to the original PI control and can achieve the control of the grid current without steady-state error. The hybrid damping control is also analyzed which takes damping coefficient as the research object, and the impact of the grid inductor to damping strategy of the LCL filter is improved with addition of the hybrid damping control. The results of the theoretical analysis and the simulation both show that the proposed strategy has a great contribution to the control of the grid current and the steady operation of the system, and also has a good adaptability to the grid inductor. This work is National Natural Science Foundation of China (No. 61573303) and Natural Science Foundation of Hebei Province (No. E2016203092).