The cooperative working mode of multi-UAV (Unmanned Aerial Vehicle) has an important application prospect in the future communication. Considering the shortage of spectrum resources, a cognitive UAV network model is established, and the performance of multi-UAV cooperative spectrum sensing is studied. For the large cognitive UAV network with a large number of UAVs, a high accuracy cooperative spectrum sensing algorithm is proposed, and the performance of the algorithm, support vector machine and K-out-of-N algorithm in Rayleigh fading channel is compared. Simulation results show that the performance of the proposed algorithm is better than the other two algorithms in Rayleigh fading channel, and has better performance in low signal to noise ratio (SNR).