Based on the solution to the strictly piecewise linear state equation of a photovoltaic (PV) supplied micro-grid inverter, the nonlinear dynamic behavior of PV supplied micro-grid inverter is analyzed in this paper, and each PV supplied micro-grid inverter is considered as a network node, then a synchronous method for PV supplied micro-grid is studied using the small-world network model. Studies have found that, compared with the nearest-neighbor coupling network model, the PV supplied micro-grid based on the small-world network model has a faster synchronization time, and also has a faster recovery time in case of plus disturbance.