Abstract: Due to the finite energy and power of sensor nodes in WSN, they usually only communicate with their neighbor node, which shows that the evolution of the wireless sensor network conforms to the concept of localworld connectivity Hence, from the perspective of localworld evolution, this paper proposes a localworld evolving network model with energyawareness for WSN, which considers the energyawareness mechanism and the dynamic process with addition and deletion of node and link. Both theoretical analysis and simulation experiments show that the degree distribution of the proposed model lies between the ones of the random network and the network without scaling. Moreover, numerical simulations are conducted for investigating how different localworld scale affects network diameter and efficiency, which shows that by suitable increasing the localworld scale, the efficiency of data transmission may be greatly improved.