Abstract:Exploring theoretical model of complex networks is one of the most challenging subjects in network science. In this article, after giving a brief review of classification of complex networks, we emphasize our recent main advances in theoretical model of complex networks, supported by the key project of NSFC. Our proposed models include: harmonious unifying hybrid preferential model, large unifying hybrid network model, quantum information network, Nano-interference network model, local world evolution model, non-local connective model, community network model, property connective model, weighted scientist cooperation model, synchronization optimization model, generalized synchronization and clustering synchronization.