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In a modern world, Wireless Sensor Networks (WSNs) have become extensively used inan enormous amount of applications due to their infrastructure-less, distributed and dynamic in nature. In those WSNs, hierarchical methodsincrease the performance of the network and increase its lifetime. Clustering is a well knowing technique to prolong the network life cycle and increase network performance. Here ,a new clustering protocol using fuzzy centrality clustering and Grey Wolf Optimized (GWO) cluster head selection. This Grey Wolf Optimizer (GWO) is motivated by the character of grey wolves for hunting process .More precisely, firstly, centrality clusteringis applied to grouping sensor nodes according to fuzzy Closeness Centrality and Eccentricity. MATLAB simulation used to verify the effectiveness of proposed selection method.