In view of the heterogeneity of spectrum, propose a multi-channel double auction algorithm based on spectrums heterogeneous. Using double auction model, improved the algorithm from two aspects: multi-channel auction and heterogeneous spectrum auction. It allows buyers/sellers to request/provide multiple channels with different center frequencies, consider non-identical conflict relationship to explore spectrum reusability. We prove that the algorithm satisfied the economics properties: truthfulness, individual rationality and budget balance. And the simulation results confirm that our algorithm achieves high auction efficiency and system revenue.