For the fading channel effect on the performance of cooperative spectrum sensing in cognitive wireless network, an improved clustering cooperative spectrum sensing algorithm based on double-threshold energy detection is presented in this paper. Within each cluster, the cognitive user that the channel quality is best to the data fusion center (DFC) is chosen as the cluster head (CH), other cognitive users in the cluster use the double-threshold energy detection on the local position. The detective information is sent to the CH, the CH makes the decision of the cluster, and then the decision information of each cluster is sent to the DFC by each CH. The DFC use the "or" rule to fuse each clusters' results, and make a final decision whether the authorized user (AU) exists. Simulation results show that the proposed algorithm can further improve the detection probability of cognitive wireless network than traditional cooperative spectrum sensing based on double threshold detection.