In this paper, a control method combining end point equivalence modulation (EPEM) and model predictive control (MPC) based on parameter identification is proposed for single-phase inverter. The proposed method causes that output current effectively tracks the reference current. First, the single-phase inverter is modeled. Then, the system uses the controller and observer of parameter identification observer, where the controller is a combination of EPEM and MPC. Finally, the proposed method is validated by simulation. The simulation results exhibit that the observed values of resistance and inductance can effectively track the real value. After combining with the observer, the output current can better track the reference, and the current error is within ±0.3 A, and total harmonic distortion (THD) of output current becomes smaller, which is reduced from 3.94% to 0.79%.