In the distributed generation system connected to the inverter circuit, in order to solve the problem that the system dynamic response of the model predictive control (MPC) was poor when the circuit parameters changed, a method based on ABC threephase coordinates was proposed. This scheme was called advanced MPC with disturbance observer (DOB) (AdMPCDOB). It predicted the controlled current in two steps, and a proportional resonant (PR) regulator was used as the feedforward compensator of the MPC. Compensation could eliminate the periodic error of the predicted current and improve the ability to suppress specific harmonics. Taking into account the influence of circuit parameters and uncertain disturbances on the system, the inductive current DOB was used to accurately observe the MPC input signal. The theoretical analysis and simulation experiments showed that the improved control scheme could effectively improve the output power quality of the inverter and reduce the total harmonic distortion (THD) rate of the gridconnected current.