Abstract: In order to overcome the basic artifical firefly algorithm(GSO) in solving problems of low precision for the multi peak function and slow convergence. Thus, this paper comes up with an original and improved Dynamic and adaptive step optimization algorithm. With it, This algorithm can avoid being mature and falling into a local value. As the same time, improved GSO can achieve a higher accuracy during Iterative process. According to the simulation experiment, it shows that to some extent, the improved algorithm on covergence speend and precision are enhanced.