Grid-connected inverter plays an increasingly important role in new energy generation, and the requirements of its corresponding performance are also improving. This paper presents an improved continuous control set-model predictive control (CCS-MPC) strategy for three-phase grid connected inverter to improve the response speed of grid current. Firstly, the mathematical model of three-phase grid-connected inverter is established and simplified. Subsequently, according to the characteristics of the predictive model including embedded integral link, the incremental processing and augmented model are carried out to improve the robustness against model mismatch. The tracking reference is realized by rolling optimization, and the optimized value is modified by limiting filter, which not only solves the problem of current fluctuation caused by incremental initialization, but also improves the response speed. Finally, the effectiveness of the proposed control strategy is verified by simulation.