In this paper, the problem of lag projection synchronization and parameter identification for two fractional-order complex networks with coupling delay is investigated. Firstly, the fractional-order complex network model with coupling delay and uncertain parameters is established, and the lag projection synchronization error model of the driving network and the response network is given. Secondly, the effective controller and the parameter adaptive law are designed to realize lag projection synchronization and parameter identification between the two networks. A sufficient condition for realizing lag projection synchronization and parameter identification is given, and a strict mathematical proof is given for this sufficient condition. The validity and feasibility of the proposed method are verified by a numerical simulation example. Then, three special cases are discussed and sufficient conditions are obtained to realize synchronization, which are lag synchronization with coupling time delay, projection synchronization with couping time delay and lag projection synchronization without coupling time delay. Finally, the effects of coupling strength, time-delay, and projection ratio are discussed.