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Compared to the array antennas with the same distance, those with different distances can improve the directivity and avoid occurrence of high minor-lobes. In this paper, GA is used to optimize the minor-lobes. During the progress, the minor-lobes level is defined as the fitness function. The first null direction is estimated properly so that the modified factor is used to avoid the complication of solving the non-linear function and the results of optimization variables are gained. The performance of GA is analyzed by simulation and the results show that the minor-lobes level of the array after optimized by GA is much lower and the antenna will work well over wide band.