The proposed work introducing new coefficients and some modern control parameters such as sensitivity (s(t)) and probability of nectar (p(t)) and modification of the conventional parameter (). With presenting these parameters the performance and searching ability of the BF-PSO is significantly increased compared to standered PSO. This new algorithm is inspired by the intelligent behavior of butterfly during the nectar search process. Which clarify a relationship between intelligent network structures of the BF-PSO and the performances. This work pays attention to the sensitivity and the probability of nectar based on the degree of nodes used in BF-PSO. The proposed results indicate the searching performance of the BF-PSO is depended on the degree of the node. The presented results for the BF-PSO applying on benchmark function are shown in tables. The search performance of the BFPSO is improved according to the sensitivity and probability of nectar.