We propose a local world wireless sensor network (WSN) model with link and node deletion based on the complex network theory.In WSN, because of the power and the transmission radius of the sensor nodes are limited, the nodes can not acquaintance with the global condition, only communicate with the neighbor nodes.We exploit this property by introducing a local world preferential attachment strategy into our model.Since the sensor energy exhaust or destruction of hostile causes the removal of nodes and links,We exploit this property by introducing a random deletion strategy into our model.The new model has stable degree distribution, the cluster coefficient and assortative coefficient.By adjusting some parameter m of this model, we achieved a variety of power-law degree distributions.Moreover, from the perspective of the property of the model, we find some suitable range of the parameter m and p would make the network model have optimal performance.