For the purpose of enhancing stabilization performance of three-phase grid-connected inverter, the robust stability control of micro-source inverter interface is studied. Firstly, based on the three-phase grid-connected inverter system, the three-order mathematical model is established. Then, taking into account uncertain parameters in the system dynamic model, a robust controller is designed based on Lyapunov robust stabilization method. Some sufficient conditions for the system stability are presented in terms of linear matrix inequalities (LMI) only dependent on the robust performance index. By using the convex optimization technique of LMI in MATLAB toolbox, the minimum robust performance index and the parameters of the robust controller can be obtained efficiently. The effectiveness of the proposed control scheme is demonstrated through simulation examples.