This paper deals with synchronization problem of multi-weighted coupled Cohen-Grossberg neural networks (MWCCGNNs). Firstly, by constructing suitable Lyapunov functional and related mathematical inequality tricks, we analyze the synchronization of MWCCGNNs and derive a synchronization criterion for this kind of network. Then, an aperiodically intermittent synchronization condition is presented for the considered MWCCGNNs based on a well designed aperiodically intermittent controller. Furthermore, the robust synchronization of MWCCGNNs with uncertain parameters is also been considered and some corresponding robust synchronization criteria are established. Finally, the accuracy of the obtained synchronization conditions in this paper is verified by an example with MATLAB simulation results.